Mahmoud, Magdi S.; Hassan, Mohamed F.; Darwish, Mohamed G. 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 Cited in 36 Documents 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 Keywords:large-scale control problems; model reduction; aggregation; suboptimal control strategies; singular perturbations; stability analysis; interconnected systems; vector Liapunov functions; comparison systems; multilevel algorithms; feedback control; decentralized and/or multilevel control; state and parameter estimation; decomposition-coordination; stochastic optimal control; water quality control PDFBibTeX XML