Title
Stability Analysis And Design For Nonlinear Singular Systems (Lecture Notes In Control And Information Sciences, 435),Used
Delivery time: 8-12 business days (International)
Singular systems which are also referred to as descriptor systems, semistate systems, differential algebraic systems or generalized statespace systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented uptodate research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, inputstate stability and observer design for nonlinear singular systems and the problems of absolute stability and multiobjective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, Sprocedure and linear matrix inequality (LMI), etc.Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. The basic concepts and results on practical stability for standard statespace systems were generalized to singular systems. For Lure type descriptor systems (LDS) which were the feedback interconnection of a descriptor system with a static nonlinearity, strongly absolute stability was defined and Circle criterion and Popov criterion were derived. The notion of inputstate stability (ISS) for nonlinear singular systems was defined based on the concept of ISS for standard statespace systems and the characteristics of singular systems. LMIbased sufficient conditions for ISS of Lure singular systems were proposed. Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms. Finally, absolute stability and multiobjective control of nonlinear singularly perturbed systems were considered. By Lyapunov functions, absolute stability criteria of Lure singularly perturbed systems were proposed and multiobjective control of TS fuzzy singularly perturbed systems was achieved. Compared with the existing results, the obtained methods do not depend on the decomposition of the original system and can produce a determinate upper bound for the singular perturbation parameter.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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