Analysis and Design of Singular Markovian Jump Systems by Guoliang Wang,Qingling Zhang,Xinggang Yan

By Guoliang Wang,Qingling Zhang,Xinggang Yan

This monograph is an updated presentation of the research and layout of singular Markovian leap platforms (SMJSs) during which the transition cost matrix of the underlying platforms is mostly doubtful, partly unknown and designed. the issues addressed comprise balance, stabilization, H∞ regulate and filtering, observer layout, and adaptive keep watch over. functions of Markov technique are investigated through the use of Lyapunov thought, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, between different techniques.

Features of the publication include:

·         learn of the steadiness challenge for SMJSs with common transition price matrices (TRMs);

·         stabilization for SMJSs by TRM layout, noise keep watch over, proportional-derivative and partly mode-dependent keep watch over, when it comes to LMIs with and with out equation constraints;

·         mode-dependent and mode-independent H∞ regulate recommendations with improvement of a kind of disordered controller;

·         observer-based controllers of SMJSs within which either the designed observer and controller are both mode-dependent or mode-independent;

·         attention of strong H∞ filtering by way of doubtful TRM or filter out parameters resulting in a style for absolutely mode-independent filtering

·         improvement of LMI-based stipulations for a category of adaptive nation suggestions controllers with almost-certainly-bounded predicted blunders and almost-certainly-asymptotically-stable corres

ponding closed-loop method states

·         functions of Markov strategy on singular platforms with norm bounded uncertainties and time-varying delays

Analysis and layout of Singular Markovian bounce Systems includes priceless reference fabric for tutorial researchers wishing to discover the realm. The contents also are appropriate for a one-semester graduate course.

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