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Large-scale control systems. Theories and techniques. (English) Zbl 0628.93001

Electrical Engineering and Electronics, 26. New York-Basel: Marcel Dekker, Inc. IX, 367 p. (1985).
This book collects some of the recent results on modeling, analysis, optimization, and control of large-scale dynamic systems. It contains ten chapters.
Chapter 1 gives an overview of the large-scale control problems, and summarizes different methodologies.
Chapters 2 and 3 are devoted to model reduction methods. The so-called aggregation technique and its use in designing suboptimal control strategies using reduced-order models are considered in Chapter 2. The alternative approach to model reduction through singular perturbations is summarized in Chapter 3.
Chapters 4 and 5 are concerned with the stability analysis of interconnected systems by vector Liapunov functions and comparison systems.
In Chapter 6, multilevel algorithms for dynamic optimization of nonlinear interconnected systems, and in Chapter 7, application of multilevel techniques to computation of feedback control laws for interconnected systems are considered. Chapter 8 is concerned with the problem of stabilizing interconnected systems using decentralized and/or multilevel control. In Chapter 9, state and parameter estimation using decomposition-coordination techniques, and stochastic optimal control problems are discussed.
Finally, in Chapter 10, the decomposition-coordination techniques for control and optimization are applied to water quality control in a stream.
Reviewer: M.Sezer

MSC:

93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93A13 Hierarchical systems
93A15 Large-scale systems
34E15 Singular perturbations for ordinary differential equations
49M27 Decomposition methods
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93E10 Estimation and detection in stochastic control theory
93E20 Optimal stochastic control
93C95 Application models in control theory