14 research outputs found

    Design of Control Configurations for Complex Process Networks

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    University of Minnesota Ph.D. dissertation.May 2015. Major: Chemical Engineering. Advisor: Prodromos Daoutidis. 1 computer file (PDF); xi, 194 pages.Tight integration is the rule rather than the exception in chemical and energy plants. Despite the significant economic benefits which result from efficient utilization of energy/material resources, effective control of plants with such integration becomes challenging; the network-level dynamics emerging from process interconnections and the model complexity of such plants limit the effectiveness of decentralized control approaches traditionally followed in plant-wide control. The development of effective control methods for complex integrated plants is a challenging, open problem. This thesis proposes methods to develop effective control strategies for two classes of process networks. In the first part of the thesis, a class of process networks, in which slow network-level dynamics is induced by large rates of energy and/or material recycle, is considered. A graph theoretic algorithm is developed for such complex material integrated process networks to i) identify the material balance variables evolving in each time scale, and ii) design hierarchical control structures by classifying potential manipulated inputs and controlled outputs in each time scale. The application of a similar algorithm developed for energy integrated networks to representative chemical processes is also presented. The second part of the thesis focuses on generic process networks where tight integration is not necessarily reflected on a segregation of energy and/or material flows. A method is developed to systematically synthesize control configurations with favorable structural coupling, using relative degree as a measure of such coupling. Hierarchical clustering methods are employed to generate a hierarchy of control configurations ranging from fully decentralized ones to a fully centralized one. An agglomerative hierarchical clustering method is first developed, in which groups of inputs/outputs are merged successively to form fewer and larger groups that are strongly connected topologically. Then, a divisive hierarchical clustering method is developed, in which groups of inputs/outputs are decomposed recursively into smaller groups. The developed methods are applied to typical chemical process networks

    plant-wide control of industrial processes using rigorous simulation and heuristics

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    Ph.DDOCTOR OF PHILOSOPH

    Book of abstracts of the 10th International Chemical and Biological Engineering Conference: CHEMPOR 2008

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    This book contains the extended abstracts presented at the 10th International Chemical and Biological Engineering Conference - CHEMPOR 2008, held in Braga, Portugal, over 3 days, from the 4th to the 6th of September, 2008. Previous editions took place in Lisboa (1975, 1889, 1998), Braga (1978), Pรณvoa de Varzim (1981), Coimbra (1985, 2005), Porto (1993), and Aveiro (2001). The conference was jointly organized by the University of Minho, โ€œOrdem dos Engenheirosโ€, and the IBB - Institute for Biotechnology and Bioengineering with the usual support of the โ€œSociedade Portuguesa de Quรญmicaโ€ and, by the first time, of the โ€œSociedade Portuguesa de Biotecnologiaโ€. Thirty years elapsed since CHEMPOR was held at the University of Minho, organized by T.R. Bott, D. Allen, A. Bridgwater, J.J.B. Romero, L.J.S. Soares and J.D.R.S. Pinheiro. We are fortunate to have Profs. Bott, Soares and Pinheiro in the Honor Committee of this 10th edition, under the high Patronage of his Excellency the President of the Portuguese Republic, Prof. Anรญbal Cavaco Silva. The opening ceremony will confer Prof. Bott with a โ€œLong Term Achievementโ€ award acknowledging the important contribution Prof. Bott brought along more than 30 years to the development of the Chemical Engineering science, to the launch of CHEMPOR series and specially to the University of Minho. Prof. Bottโ€™s inaugural lecture will address the importance of effective energy management in processing operations, particularly in the effectiveness of heat recovery and the associated reduction in greenhouse gas emission from combustion processes. The CHEMPOR series traditionally brings together both young and established researchers and end users to discuss recent developments in different areas of Chemical Engineering. The scope of this edition is broadening out by including the Biological Engineering research. One of the major core areas of the conference program is life quality, due to the importance that Chemical and Biological Engineering plays in this area. โ€œIntegration of Life Sciences & Engineeringโ€ and โ€œSustainable Process-Product Development through Green Chemistryโ€ are two of the leading themes with papers addressing such important issues. This is complemented with additional leading themes including โ€œAdvancing the Chemical and Biological Engineering Fundamentalsโ€, โ€œMulti-Scale and/or Multi-Disciplinary Approach to Process-Product Innovationโ€, โ€œSystematic Methods and Tools for Managing the Complexityโ€, and โ€œEducating Chemical and Biological Engineers for Coming Challengesโ€ which define the extended abstracts arrangements along this book. A total of 516 extended abstracts are included in the book, consisting of 7 invited lecturers, 15 keynote, 105 short oral presentations given in 5 parallel sessions, along with 6 slots for viewing 389 poster presentations. Full papers are jointly included in the companion Proceedings in CD-ROM. All papers have been reviewed and we are grateful to the members of scientific and organizing committees for their evaluations. It was an intensive task since 610 submitted abstracts from 45 countries were received. It has been an honor for us to contribute to setting up CHEMPOR 2008 during almost two years. We wish to thank the authors who have contributed to yield a high scientific standard to the program. We are thankful to the sponsors who have contributed decisively to this event. We also extend our gratefulness to all those who, through their dedicated efforts, have assisted us in this task. On behalf of the Scientific and Organizing Committees we wish you that together with an interesting reading, the scientific program and the social moments organized will be memorable for all.Fundaรงรฃo para a Ciรชncia e a Tecnologia (FCT

    Assessing plant design with regards to MPC performance using a novel multi-model prediction method

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    Model Predictive Control (MPC) is nowadays ubiquitous in the chemical industry and offers significant advantages over standard feedback controllers. Notwithstanding, projects of new plants are still being carried out without assessing how key design decisions, e.g., selection of production route, plant layout and equipment, will affect future MPC performance. The problem addressed in this Thesis is comparing the economic benefits available for different flowsheets through the use of MPC, and thus determining if certain design choices favour or hinder expected profitability. The Economic MPC Optimisation (EMOP) index is presented to measure how disturbances and restrictions affect the MPCโ€™s ability to deliver better control and optimisation. To the authorโ€™s knowledge, the EMOP index is the first integrated design and control methodology to address the problem of zone constrained MPC with economic optimisation capabilities (today's standard in the chemical industry). This approach assumes the availability of a set of linear state-space models valid within the desired control zone, which is defined by the upper and lower bounds of each controlled and manipulated variable. Process economics provides the basis for the analysis. The index needs to be minimised in order to find the most profitable steady state within the zone constraints towards which the MPC is expected to direct the process. An analysis of the effects of disturbances on the index illustrates how they may reduce profitability by restricting the ability of an MPC to reach dynamic equilibrium near process constraints, which in turn increases product quality giveaway and costs. Hence the index monetises the required control effort. Since linear models were used to predict the dynamic behaviour of chemical processes, which often exhibit significant nonlinearity, this Thesis also includes a new multi-model prediction method. This new method, called Simultaneous Multi-Linear Prediction (SMLP), presents a more accurate output prediction than the use of single linear models, keeping at the same time much of their numerical advantages and their relative ease of obtainment. Comparing the SMLP to existing multi-model approaches, the main novelty is that it is built by defining and updating multiple states simultaneously, thus eliminating the need for partitioning the state-input space into regions and associating with each region a different state update equation. Each stateโ€™s contribution to the overall output is obtained according to the relative distance between their identification point, i.e., the set of operating conditions at which an approximation of the nonlinear model is obtained, and the current operating point, in addition to a set of parameters obtained through regression analysis. Additionally, the SMLP is built upon data obtained from step response models that can be obtained by commercial, black-box dynamic simulators. These state-of-the-art simulators are the industryโ€™s standard for designing large-scale plants, the focus of this Thesis. Building an SMLP system yields an approximation of the nonlinear model, whose full set of equations is not of the userโ€™s knowledge. The resulting system can be used for predictive control schemes or integrated process design and control. Applying the SMLP to optimisation problems with linear restrictions results in convex problems that are easy to solve. The issue of model uncertainty was also addressed for the EMOP index and SMLP systems. Due to the impact of uncertainty, the index may be defined as a numeric interval instead of a single number, within which the true value lies. A case of study consisting of four alternative designs for a realistically sized crude oil atmospheric distillation plant is provided in order to demonstrate the joint use and applicability of both the EMOP index and the SMLP. In addition, a comparison between the EMOP index and a competing methodology is presented that is based on a case study consisting of the activated sludge process of a wastewater treatment plant

    Proceedings of the 10th International Chemical and Biological Engineering Conference - CHEMPOR 2008

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    This volume contains full papers presented at the 10th International Chemical and Biological Engineering Conference - CHEMPOR 2008, held in Braga, Portugal, between September 4th and 6th, 2008.FC

    Identifying and Detecting Attacks in Industrial Control Systems

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    The integrity of industrial control systems (ICS) found in utilities, oil and natural gas pipelines, manufacturing plants and transportation is critical to national wellbeing and security. Such systems depend on hundreds of field devices to manage and monitor a physical process. Previously, these devices were specific to ICS but they are now being replaced by general purpose computing technologies and, increasingly, these are being augmented with Internet of Things (IoT) nodes. Whilst there are benefits to this approach in terms of cost and flexibility, it has attracted a wider community of adversaries. These include those with significant domain knowledge, such as those responsible for attacks on Iranโ€™s Nuclear Facilities, a Steel Mill in Germany, and Ukraineโ€™s power grid; however, non specialist attackers are becoming increasingly interested in the physical damage it is possible to cause. At the same time, the approach increases the number and range of vulnerabilities to which ICS are subject; regrettably, conventional techniques for analysing such a large attack space are inadequate, a cause of major national concern. In this thesis we introduce a generalisable approach based on evolutionary multiobjective algorithms to assist in identifying vulnerabilities in complex heterogeneous ICS systems. This is both challenging and an area that is currently lacking research. Our approach has been to review the security of currently deployed ICS systems, and then to make use of an internationally recognised ICS simulation testbed for experiments, assuming that the attacking community largely lack specific ICS knowledge. Using the simulator, we identified vulnerabilities in individual components and then made use of these to generate attacks. A defence against these attacks in the form of novel intrusion detection systems were developed, based on a range of machine learning models. Finally, this was further subject to attacks created using the evolutionary multiobjective algorithms, demonstrating, for the first time, the feasibility of creating sophisticated attacks against a well-protected adversary using automated mechanisms

    Social, Economic and Environmental Metrics for the Sustainable Optimization of Chemical and Petroleum Processes

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    This research is focused on adopting a systematic methodology for address sustainability concerns during early stages of engineering design. Traditionally, engineers designed processes to achieve beneficial operations and economic goals. However, given the need to balance the economic benefits of chemical engineering processes, safety, health and environmental impacts, the improved focus on sustainability of production processes has introduced more complex dimensions to consider. When it comes to addressing the three conflicting dimensions of sustainability, there is no well-defined methodology or tool for achieving this. A thorough review was completed to investigate the applications and limitations of existing economic, environmental, health and safety evaluation tools. Therefore, the methodology combines already established approaches, concepts and tools into a novel systematic technique that addresses sustainability concerns during early stages of chemical process design. A methodology that involves the use of the SUSTAINABILITY EVALUATOR and ASPEN PLUS was developed for evaluating processes for sustainability. The SUSTAINABILITY EVALUATOR is a novel impact assessment tool developed for this research. This tool applies selected metrics that address economic, environmental as well as health and safety concerns. The SUSTAINABILITY EVALUATOR is a Microsoft Excel based tool that uses mass and energy balance inputs from ASPEN PLUS to evaluate the sustainability of a process. This impact assessment tool equips the process designer with a framework to design industrial processes for sustainability. The objective is for processes designers to use the results generated from the tool to assess and improve the sustainability of a process. The proposed framework involved the use of ASPEN PLUS to simulate processes, calculate mass and energy balances, complete sensitivity analysis and lastly optimize processes An overall sustainability impact which has been incorporated into the SUSTAINABILITY EVALUATOR was developed to quantify sustainability issues in process design. The methodology was demonstrated on two case studies: the acrylonitrile process and the allyl chloride process. The application of the methodology on the two case studies resulted in a more economic, environmental and socially acceptable processes.School of Chemical Engineerin

    ๋ชจ๋ธ๊ธฐ๋ฐ˜๊ฐ•ํ™”ํ•™์Šต์„์ด์šฉํ•œ๊ณต์ •์ œ์–ด๋ฐ์ตœ์ ํ™”

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    ํ•™์œ„๋…ผ๋ฌธ(๋ฐ•์‚ฌ)--์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› :๊ณต๊ณผ๋Œ€ํ•™ ํ™”ํ•™์ƒ๋ฌผ๊ณตํ•™๋ถ€,2020. 2. ์ด์ข…๋ฏผ.์ˆœ์ฐจ์  ์˜์‚ฌ๊ฒฐ์ • ๋ฌธ์ œ๋Š” ๊ณต์ • ์ตœ์ ํ™”์˜ ํ•ต์‹ฌ ๋ถ„์•ผ ์ค‘ ํ•˜๋‚˜์ด๋‹ค. ์ด ๋ฌธ์ œ์˜ ์ˆ˜์น˜์  ํ•ด๋ฒ• ์ค‘ ๊ฐ€์žฅ ๋งŽ์ด ์‚ฌ์šฉ๋˜๋Š” ๊ฒƒ์€ ์ˆœ๋ฐฉํ–ฅ์œผ๋กœ ์ž‘๋™ํ•˜๋Š” ์ง์ ‘๋ฒ• (direct optimization) ๋ฐฉ๋ฒ•์ด์ง€๋งŒ, ๋ช‡๊ฐ€์ง€ ํ•œ๊ณ„์ ์„ ์ง€๋‹ˆ๊ณ  ์žˆ๋‹ค. ์ตœ์ ํ•ด๋Š” open-loop์˜ ํ˜•ํƒœ๋ฅผ ์ง€๋‹ˆ๊ณ  ์žˆ์œผ๋ฉฐ, ๋ถˆํ™•์ •์„ฑ์ด ์กด์žฌํ• ๋•Œ ๋ฐฉ๋ฒ•๋ก ์˜ ์ˆ˜์น˜์  ๋ณต์žก๋„๊ฐ€ ์ฆ๊ฐ€ํ•œ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค. ๋™์  ๊ณ„ํš๋ฒ• (dynamic programming) ์€ ์ด๋Ÿฌํ•œ ํ•œ๊ณ„์ ์„ ๊ทผ์›์ ์œผ๋กœ ํ•ด๊ฒฐํ•  ์ˆ˜ ์žˆ์ง€๋งŒ, ๊ทธ๋™์•ˆ ๊ณต์ • ์ตœ์ ํ™”์— ์ ๊ทน์ ์œผ๋กœ ๊ณ ๋ ค๋˜์ง€ ์•Š์•˜๋˜ ์ด์œ ๋Š” ๋™์  ๊ณ„ํš๋ฒ•์˜ ๊ฒฐ๊ณผ๋กœ ์–ป์–ด์ง„ ํŽธ๋ฏธ๋ถ„ ๋ฐฉ์ •์‹ ๋ฌธ์ œ๊ฐ€ ์œ ํ•œ์ฐจ์› ๋ฒกํ„ฐ๊ณต๊ฐ„์ด ์•„๋‹Œ ๋ฌดํ•œ์ฐจ์›์˜ ํ•จ์ˆ˜๊ณต๊ฐ„์—์„œ ๋‹ค๋ฃจ์–ด์ง€๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค. ์†Œ์œ„ ์ฐจ์›์˜ ์ €์ฃผ๋ผ๊ณ  ๋ถˆ๋ฆฌ๋Š” ์ด ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•œ ํ•œ๊ฐ€์ง€ ๋ฐฉ๋ฒ•์œผ๋กœ์„œ, ์ƒ˜ํ”Œ์„ ์ด์šฉํ•œ ๊ทผ์‚ฌ์  ํ•ด๋ฒ•์— ์ดˆ์ ์„ ๋‘” ๊ฐ•ํ™”ํ•™์Šต ๋ฐฉ๋ฒ•๋ก ์ด ์—ฐ๊ตฌ๋˜์–ด ์™”๋‹ค. ๋ณธ ํ•™์œ„๋…ผ๋ฌธ์—์„œ๋Š” ๊ฐ•ํ™”ํ•™์Šต ๋ฐฉ๋ฒ•๋ก  ์ค‘, ๊ณต์ • ์ตœ์ ํ™”์— ์ ํ•ฉํ•œ ๋ชจ๋ธ ๊ธฐ๋ฐ˜ ๊ฐ•ํ™”ํ•™์Šต์— ๋Œ€ํ•ด ์—ฐ๊ตฌํ•˜๊ณ , ์ด๋ฅผ ๊ณต์ • ์ตœ์ ํ™”์˜ ๋Œ€ํ‘œ์ ์ธ ์„ธ๊ฐ€์ง€ ์ˆœ์ฐจ์  ์˜์‚ฌ๊ฒฐ์ • ๋ฌธ์ œ์ธ ์Šค์ผ€์ค„๋ง, ์ƒ์œ„๋‹จ๊ณ„ ์ตœ์ ํ™”, ํ•˜์œ„๋‹จ๊ณ„ ์ œ์–ด์— ์ ์šฉํ•˜๋Š” ๊ฒƒ์„ ๋ชฉํ‘œ๋กœ ํ•œ๋‹ค. ์ด ๋ฌธ์ œ๋“ค์€ ๊ฐ๊ฐ ๋ถ€๋ถ„๊ด€์ธก ๋งˆ๋ฅด์ฝ”ํ”„ ๊ฒฐ์ • ๊ณผ์ • (partially observable Markov decision process), ์ œ์–ด-์•„ํ•€ ์ƒํƒœ๊ณต๊ฐ„ ๋ชจ๋ธ (control-affine state space model), ์ผ๋ฐ˜์  ์ƒํƒœ๊ณต๊ฐ„ ๋ชจ๋ธ (general state space model)๋กœ ๋ชจ๋ธ๋ง๋œ๋‹ค. ๋˜ํ•œ ๊ฐ ์ˆ˜์น˜์  ๋ชจ๋ธ๋“ค์„ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด point based value iteration (PBVI), globalized dual heuristic programming (GDHP), and differential dynamic programming (DDP)๋กœ ๋ถˆ๋ฆฌ๋Š” ๋ฐฉ๋ฒ•๋“ค์„ ๋„์ž…ํ•˜์˜€๋‹ค. ์ด ์„ธ๊ฐ€์ง€ ๋ฌธ์ œ์™€ ๋ฐฉ๋ฒ•๋ก ์—์„œ ์ œ์‹œ๋œ ํŠน์ง•๋“ค์„ ๋‹ค์Œ๊ณผ ๊ฐ™์ด ์š”์•ฝํ•  ์ˆ˜ ์žˆ๋‹ค: ์ฒซ๋ฒˆ์งธ๋กœ, ์Šค์ผ€์ค„๋ง ๋ฌธ์ œ์—์„œ closed-loop ํ”ผ๋“œ๋ฐฑ ํ˜•ํƒœ์˜ ํ•ด๋ฅผ ์ œ์‹œํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ์ด๋Š” ๊ธฐ์กด ์ง์ ‘๋ฒ•์—์„œ ์–ป์„ ์ˆ˜ ์—†์—ˆ๋˜ ํ˜•ํƒœ๋กœ์„œ, ๊ฐ•ํ™”ํ•™์Šต์˜ ๊ฐ•์ ์„ ๋ถ€๊ฐํ•  ์ˆ˜ ์žˆ๋Š” ์ธก๋ฉด์ด๋ผ ์ƒ๊ฐํ•  ์ˆ˜ ์žˆ๋‹ค. ๋‘๋ฒˆ์งธ๋กœ ๊ณ ๋ คํ•œ ํ•˜์œ„๋‹จ๊ณ„ ์ œ์–ด ๋ฌธ์ œ์—์„œ, ๋™์  ๊ณ„ํš๋ฒ•์˜ ๋ฌดํ•œ์ฐจ์› ํ•จ์ˆ˜๊ณต๊ฐ„ ์ตœ์ ํ™” ๋ฌธ์ œ๋ฅผ ํ•จ์ˆ˜ ๊ทผ์‚ฌ ๋ฐฉ๋ฒ•์„ ํ†ตํ•ด ์œ ํ•œ์ฐจ์› ๋ฒกํ„ฐ๊ณต๊ฐ„ ์ตœ์ ํ™” ๋ฌธ์ œ๋กœ ์™„ํ™”ํ•  ์ˆ˜ ์žˆ๋Š” ๋ฐฉ๋ฒ•์„ ๋„์ž…ํ•˜์˜€๋‹ค. ํŠนํžˆ, ์‹ฌ์ธต ์‹ ๊ฒฝ๋ง์„ ์ด์šฉํ•˜์—ฌ ํ•จ์ˆ˜ ๊ทผ์‚ฌ๋ฅผ ํ•˜์˜€๊ณ , ์ด๋•Œ ๋ฐœ์ƒํ•˜๋Š” ์—ฌ๋Ÿฌ๊ฐ€์ง€ ์žฅ์ ๊ณผ ์ˆ˜๋ ด ํ•ด์„ ๊ฒฐ๊ณผ๋ฅผ ๋ณธ ํ•™์œ„๋…ผ๋ฌธ์— ์‹ค์—ˆ๋‹ค. ๋งˆ์ง€๋ง‰ ๋ฌธ์ œ๋Š” ์ƒ์œ„ ๋‹จ๊ณ„ ๋™์  ์ตœ์ ํ™” ๋ฌธ์ œ์ด๋‹ค. ๋™์  ์ตœ์ ํ™” ๋ฌธ์ œ์—์„œ ๋ฐœ์ƒํ•˜๋Š” ์ œ์•ฝ ์กฐ๊ฑดํ•˜์—์„œ ๊ฐ•ํ™”ํ•™์Šต์„ ์ˆ˜ํ–‰ํ•˜๊ธฐ ์œ„ํ•ด, ์›-์Œ๋Œ€ ๋ฏธ๋ถ„๋™์  ๊ณ„ํš๋ฒ• (primal-dual DDP) ๋ฐฉ๋ฒ•๋ก ์„ ์ƒˆ๋กœ ์ œ์•ˆํ•˜์˜€๋‹ค. ์•ž์„œ ์„ค๋ช…ํ•œ ์„ธ๊ฐ€์ง€ ๋ฌธ์ œ์— ์ ์šฉ๋œ ๋ฐฉ๋ฒ•๋ก ์„ ๊ฒ€์ฆํ•˜๊ณ , ๋™์  ๊ณ„ํš๋ฒ•์ด ์ง์ ‘๋ฒ•์— ๋น„๊ฒฌ๋  ์ˆ˜ ์žˆ๋Š” ๋ฐฉ๋ฒ•๋ก ์ด๋ผ๋Š” ์ฃผ์žฅ์„ ์‹ค์ฆํ•˜๊ธฐ ์œ„ํ•ด ์—ฌ๋Ÿฌ๊ฐ€์ง€ ๊ณต์ • ์˜ˆ์ œ๋ฅผ ์‹ค์—ˆ๋‹ค.Sequential decision making problem is a crucial technology for plant-wide process optimization. While the dominant numerical method is the forward-in-time direct optimization, it is limited to the open-loop solution and has difficulty in considering the uncertainty. Dynamic programming method complements the limitations, nonetheless associated functional optimization suffers from the curse-of-dimensionality. The sample-based approach for approximating the dynamic programming, referred to as reinforcement learning (RL) can resolve the issue and investigated throughout this thesis. The method that accounts for the system model explicitly is in particular interest. The model-based RL is exploited to solve the three representative sequential decision making problems; scheduling, supervisory optimization, and regulatory control. The problems are formulated with partially observable Markov decision process, control-affine state space model, and general state space model, and associated model-based RL algorithms are point based value iteration (PBVI), globalized dual heuristic programming (GDHP), and differential dynamic programming (DDP), respectively. The contribution for each problem can be written as follows: First, for the scheduling problem, we developed the closed-loop feedback scheme which highlights the strength compared to the direct optimization method. In the second case, the regulatory control problem is tackled by the function approximation method which relaxes the functional optimization to the finite dimensional vector space optimization. Deep neural networks (DNNs) is utilized as the approximator, and the advantages as well as the convergence analysis is performed in the thesis. Finally, for the supervisory optimization problem, we developed the novel constraint RL framework that uses the primal-dual DDP method. Various illustrative examples are demonstrated to validate the developed model-based RL algorithms and to support the thesis statement on which the dynamic programming method can be considered as a complementary method for direct optimization method.1. Introduction 1 1.1 Motivation and previous work 1 1.2 Statement of contributions 9 1.3 Outline of the thesis 11 2. Background and preliminaries 13 2.1 Optimization problem formulation and the principle of optimality 13 2.1.1 Markov decision process 15 2.1.2 State space model 19 2.2 Overview of the developed RL algorithms 28 2.2.1 Point based value iteration 28 2.2.2 Globalized dual heuristic programming 29 2.2.3 Differential dynamic programming 32 3. A POMDP framework for integrated scheduling of infrastructure maintenance and inspection 35 3.1 Introduction 35 3.2 POMDP solution algorithm 38 3.2.1 General point based value iteration 38 3.2.2 GapMin algorithm 46 3.2.3 Receding horizon POMDP 49 3.3 Problem formulation for infrastructure scheduling 54 3.3.1 State 56 3.3.2 Maintenance and inspection actions 57 3.3.3 State transition function 61 3.3.4 Cost function 67 3.3.5 Observation set and observation function 68 3.3.6 State augmentation 69 3.4 Illustrative example and simulation result 69 3.4.1 Structural point for the analysis of a high dimensional belief space 72 3.4.2 Infinite horizon policy under the natural deterioration process 72 3.4.3 Receding horizon POMDP 79 3.4.4 Validation of POMDP policy via Monte Carlo simulation 83 4. A model-based deep reinforcement learning method applied to finite-horizon optimal control of nonlinear control-affine system 88 4.1 Introduction 88 4.2 Function approximation and learning with deep neural networks 91 4.2.1 GDHP with a function approximator 91 4.2.2 Stable learning of DNNs 96 4.2.3 Overall algorithm 103 4.3 Results and discussions 107 4.3.1 Example 1: Semi-batch reactor 107 4.3.2 Example 2: Diffusion-Convection-Reaction (DCR) process 120 5. Convergence analysis of the model-based deep reinforcement learning for optimal control of nonlinear control-affine system 126 5.1 Introduction 126 5.2 Convergence proof of globalized dual heuristic programming (GDHP) 128 5.3 Function approximation with deep neural networks 137 5.3.1 Function approximation and gradient descent learning 137 5.3.2 Forward and backward propagations of DNNs 139 5.4 Convergence analysis in the deep neural networks space 141 5.4.1 Lyapunov analysis of the neural network parameter errors 141 5.4.2 Lyapunov analysis of the closed-loop stability 150 5.4.3 Overall Lyapunov function 152 5.5 Simulation results and discussions 157 5.5.1 System description 158 5.5.2 Algorithmic settings 160 5.5.3 Control result 161 6. Primal-dual differential dynamic programming for constrained dynamic optimization of continuous system 170 6.1 Introduction 170 6.2 Primal-dual differential dynamic programming for constrained dynamic optimization 172 6.2.1 Augmented Lagrangian method 172 6.2.2 Primal-dual differential dynamic programming algorithm 175 6.2.3 Overall algorithm 179 6.3 Results and discussions 179 7. Concluding remarks 186 7.1 Summary of the contributions 187 7.2 Future works 189 Bibliography 192Docto

    Gas, Water and Solid Waste Treatment Technology

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    This book introduces a variety of treatment technologies, such as physical, chemical, and biological methods for the treatment of gas emissions, wastewater, and solid waste. It provides a useful source of information for engineers and specialists, as well as for undergraduate and postgraduate students, in the areas of environmental science and engineering
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