H-infinity Control and Estimation of State-multiplicative Linear Systems

Download or read book H-infinity Control and Estimation of State-multiplicative Linear Systems written by Eli Gershon and published by Springer Science & Business Media. This book was released on 2005-06-24 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiplicative noise appears in systems where the process or measurement noise levels depend on the system state vector. Such systems are relevant, for example, in radar measurements where larger ranges involve higher noise level. This monograph embodies a comprehensive survey of the relevant literature with basic problems being formulated and solved by applying various techniques including game theory, linear matrix inequalities and Lyapunov parameter-dependent functions. Topics covered include: convex H2 and H-infinity norms analysis of systems with multiplicative noise; state feedback control and state estimation of systems with multiplicative noise; dynamic and static output feedback of stochastic bilinear systems; tracking controllers for stochastic bilinear systems utilizing preview information. Various examples which demonstrate the applicability of the theory to practical control engineering problems are considered; two such examples are taken from the aerospace and guidance control areas.