Supervisory-plus-regulatory control design for efficient operation of industrial furnaces

A two-level system engineering design approach to integrated control and supervision of industrial multi-zone furnaces has been elaborated and tested. The application case study is the three-zone 25 MW RZS furnace plant at Skopje Steelworks. The integrated control and supervision design is based on combined use of general predictive control optimization of set-points and steady-state decoupling,at the upper level, and classical two-term laws with stady-state decouling, at the executive control level. This design technique exploits the intrinsic stability of thermal processes and makes use of constrained optimization, standard non-parametric time-domain process models, identified under operating conditions, using truncated k-time sequence matrices, controlled autoregressive moving average models. Digital implementations are sought within standard computer process control platform for practical engineering and maintenance reasons

Stability of fuzzy matrix games for conflicts: A model with uncertainty preference scheme

Dimirovski, Georgi M. (Dogus Author) -- This article belongs to a special issue-12th IFAC Workshop on Supplementary Ways for Improving International StabilityIn societal system disputes and in direct conflict of interests, in particular, the decision making faces a basic situation resembles a combat-like situation (Figure 1). For each of the opponents (‘players’) has in mind and carries out own missions in the societal environment (Figure 2) Furthermore, two or more parties need to make decisions with fully or partially conflicting objectives when involved in a dispute or open conflict. And yet, by and large, decisions must be made under risk, uncertainty, and incomplete or fuzzy information based on adaptive perception knowledge (Figure 3), which may imply large amounts of linguistic and probabilistic information with missing data. In the case of two opponents, the synergy of fuzzy approach and matrix games seems rather effective for modelling such multi-criteria conflicting situations. This synergy is feasible provide the game equilibrium stability concept is conceived in compliance with an adequate uncertainty preference scheme of decision making. In the case of two scenarios or states of a conflict, the preference scheme for a given participating decision-maker has to include components for handling cases of one state strict preference over another state, equal preference between the states, and also uncertainty preference. The fuzzy modelling based procedure is employed to take into account some of the subjective attitudes of the decision makers that are difficult to model using classical game theory

Robust adaptive sliding mode control for a class of uncertain hybrid linear systems with Markovian jump parameters

Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 17th World Congress, International Federation of Automatic Control, IFAC; Seoul; South Korea; 6 July 2008 through 11 July 2008.The robust sliding mode control problem of a class of uncertain hybrid linear systems with Markovian jump parameters is considered. Under the assumption of unknown upper bounds matched system uncertainties, the sufficient conditions are proposed to guarantee exponentially stable in mean square of reduced-order sliding mode system. Under the conditions of unknown upper bounds of system uncertainties, adaptive robust sliding mode control law is proposed. The control methods guarantees that the trajectory of system arrives at the sliding surface in finite time interval and is kept here thereafter. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of linear matrix inequalities(LMIs)have solution. Latsly a simulation is given to illustrate the effectiveness of the proposed approach

On simulation based analysis and synthesis of hierarchical network sturctures

Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 6th European Control Conference, ECC 2001; Seminario de VilarPorto; Portugal; 4 September 2001 through 7 September 2001Analysis of complex systems such as hierarchically structured network systems that are employed in modelling and analysis various aspects and issues of control and management in telecommunications is investigated. Theory of graphs and binary matrices appear to be most suitable tools for modelling the overall structure of complex systems, in general, and of systemic hierarchies, in particular. A systematic methodology has been developed for computer simulation analysis and detecting general hierarchies in communications networking as well as for synthesis of system hierarchies. This methodology is an improved extension of Warfield's technique.Directorate General XII of the European Commission, Faculdade de Engenharia da Universidade do Port

Passivity and feedback equivalence of switched nonlinear systems with storage-like functions

This paper addresses the issues of passivity and feedback equivalence for switched nonlinear systems via multiple storage functions. The concept of storage-like functions for switched systems is presented. A sufficient condition for passivity of the switched nonlinear systems is given via multiple storage functions under some switching signal. Then, the result is extended to find conditions under which the switched system is feedback equivalent to a passive switched system

Optimal tracking and disturbance rejection with invariant zeros on the unit circle: a polynomial spectral factorization design

Dimirovski,Georgi M. (Dogus Author) -- Conference full title: 20th IFAC World Congress, Toulouse, France ; 9 July 2017 thorugh 14 July 2017We present a simple algorithm for computation of H2-optimal tracking and disturbance rejection controller of discrete-time systems possessing invariant zeros on the unit circle, based on polynomial spectral factorization. We prove that the column degrees of the associated para-hermitian polynomial matrix to be factorized are equal to the plant controllability indices. A numerical/computer simulation example is given

Three Theorems on Hierarchical Decomposition of Similarity Linear Systems

Abstract: In this paper the problem of system decomposition of complex linear dynamical systems biy exploiting the similarity property is studied. System decompositions are sought in terms of similarity hierarchical structures. The method for constructing the transformation is derived. The conditions for such decomposition of complex linear systems are given

Decomposition of complex linear systems via hierarchical similarity structure

In this paper the problem of system decomposition of complex linear dynamical systems by exploiting the similarity property is studied. System decompositions were sought in terms of similarity hierarchical structures. Three new theoretical results were proved. The method for constructing the transformation has been derived. The conditions for such decomposition of complex linear systems are given.IEEE CAS Soc; Univ Zagreb, Fac Elect Engn & Comp; Portland State Univ, Elect & Comp Engn Dept; IEEE Reg 8; Croatian Acad Sci & Arts; Ericsson; IBM; HP Invent; Hrvatski Telekom; Croatia Airline