3,667 research outputs found
Two time scale output feedback regulation for ill-conditioned systems
Issues pertaining to the well-posedness of a two time scale approach to the output feedback regulator design problem are examined. An approximate quadratic performance index which reflects a two time scale decomposition of the system dynamics is developed. It is shown that, under mild assumptions, minimization of this cost leads to feedback gains providing a second-order approximation of optimal full system performance. A simplified approach to two time scale feedback design is also developed, in which gains are separately calculated to stabilize the slow and fast subsystem models. By exploiting the notion of combined control and observation spillover suppression, conditions are derived assuring that these gains will stabilize the full-order system. A sequential numerical algorithm is described which obtains output feedback gains minimizing a broad class of performance indices, including the standard LQ case. It is shown that the algorithm converges to a local minimum under nonrestrictive assumptions. This procedure is adapted to and demonstrated for the two time scale design formulations
Optimal PWM control of switched-capacitor DC/DC power converters via model transformation and enhancing control techniques
Abstract—This paper presents an efficient and effective method
for an optimal pulse width modulated (PWM) control of
switched-capacitor DC/DC power converters. Optimal switching
instants are determined based on minimizing the output ripple
magnitude, the output leakage voltage and the sensitivity of the
output load voltage with respect to both the input voltage and the
load resistance. This optimal PWM control strategy has several
advantages over conventional PWM control strategies: 1) It does
not involve a linearization, so a large signal analysis is performed.
2) It guarantees the optimality. The problem is solved via both the
model transformation and the optimal enhancing control
techniques. A practical example of the PWM control of a
switched-capacitor DC/DC power converter is presented
An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages
This paper studies the problem of frequency regulation in power grids under
unknown and possible time-varying load changes, while minimizing the generation
costs. We formulate this problem as an output agreement problem for
distribution networks and address it using incremental passivity and
distributed internal-model-based controllers. Incremental passivity enables a
systematic approach to study convergence to the steady state with zero
frequency deviation and to design the controller in the presence of
time-varying voltages, whereas the internal-model principle is applied to
tackle the uncertain nature of the loads.Comment: 16 pages. Abridged version appeared in the Proceedings of the 21st
International Symposium on Mathematical Theory of Networks and Systems, MTNS
2014, Groningen, the Netherlands. Submitted in December 201
Maximum Entropy/Optimal Projection (MEOP) control design synthesis: Optimal quantification of the major design tradeoffs
The underlying philosophy and motivation of the optimal projection/maximum entropy (OP/ME) stochastic modeling and reduced control design methodology for high order systems with parameter uncertainties are discussed. The OP/ME design equations for reduced-order dynamic compensation including the effect of parameter uncertainties are reviewed. The application of the methodology to several Large Space Structures (LSS) problems of representative complexity is illustrated
Using Signal Processing Tools for Regulation Analysis and Implementation
Regulators often face the challenge of designing and implementing rules that both, respond to the policy objectives and that can be clearly referred to the day-to-day operations and practices in the marketplace. In many cases, the actual codes end up being a cumbersome collection of conditions that are very difficult to evaluate and re-design. This paper suggests that some of the most commonly used tools in Signal Processing could offer a convenient vehicle for tackling these difficulties. By starting from a SIMULINK(R) model of the regulation of Banco de Mexico on the foreign exchange transactions of commercial banks, this paper offers an example of how those tools could be used in this context.
A Review of Traffic Signal Control.
The aim of this paper is to provide a starting point for the future research within the SERC sponsored project "Gating and Traffic Control: The Application of State Space Control Theory". It will provide an introduction to State Space Control Theory, State Space applications in transportation in general, an in-depth review of congestion control (specifically traffic signal control in congested situations), a review of theoretical works, a review of existing systems and will conclude with recommendations for the research to be undertaken within this project
Privacy Against Adversarial Classification in Cyber-Physical Systems
For a class of Cyber-Physical Systems (CPSs), we address the problem of
performing computations over the cloud without revealing private information
about the structure and operation of the system. We model CPSs as a collection
of input-output dynamical systems (the system operation modes). Depending on
the mode the system is operating on, the output trajectory is generated by one
of these systems in response to driving inputs. Output measurements and driving
inputs are sent to the cloud for processing purposes. We capture this
"processing" through some function (of the input-output trajectory) that we
require the cloud to compute accurately - referred here as the trajectory
utility. However, for privacy reasons, we would like to keep the mode private,
i.e., we do not want the cloud to correctly identify what mode of the CPS
produced a given trajectory. To this end, we distort trajectories before
transmission and send the corrupted data to the cloud. We provide mathematical
tools (based on output-regulation techniques) to properly design distorting
mechanisms so that: 1) the original and distorted trajectories lead to the same
utility; and the distorted data leads the cloud to misclassify the mode
- …