Systems represented in a piecewise linear (PL) form are studied in an attempt to develop systematic stabilization techniques The author argues that combining these systems with PL Lyapunov functions can provide a framework for systematic design that deals usefully with uncertainties and nonlinearities in the presence of state and control constraints. Chapters look at robust stabilization of orthogonal PL systems, stabilization of conic PL systems, the ray-gridding approach for constrained stabilization, PL optimal control, and future research directions. Distributed by Taylor & Francis. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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The control engineering community has shown an increased interest in development of advanced techniques for the analysis and design of highly complex and uncertain control systems that arise in industrial applications. This is verified by the development of areas such as "Robust Control" and "Hybrid Systems". Advances in computer technology have facilitated the development of highly sophisticated simulation tools and software environments. However, new technologies cannot be promoted by advanced computer tools only: parallel advances of new theories are necessary. This book brings together research results on stability design for the class of Piecewise Linear control systems, offering a promising solution for dealing with systematic control design for classes of nonlinear systems in the presence of additional state and control limitations. It motivates and develops the underlying principles in simple language and presents the benefits gained from the use of Piecewise Linear system models coupled with Piecewise Linear Lyapunov functions.
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