By Guoliang Wang,Qingling Zhang,Xinggang Yan
This monograph is an updated presentation of the research and layout of singular Markovian leap structures (SMJSs) during which the transition price matrix of the underlying structures is usually doubtful, partly unknown and designed. the issues addressed comprise balance, stabilization, H∞ regulate and filtering, observer layout, and adaptive keep an eye on. purposes of Markov technique are investigated by utilizing Lyapunov idea, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, between different techniques.
Features of the booklet include:
· research of the steadiness challenge for SMJSs with common transition cost matrices (TRMs);
· stabilization for SMJSs by TRM layout, noise keep an eye on, proportional-derivative and in part mode-dependent keep watch over, by way of LMIs with and with no equation constraints;
· mode-dependent and mode-independent H∞ keep an eye on options with improvement of one of those disordered controller;
· observer-based controllers of SMJSs within which either the designed observer and controller are both mode-dependent or mode-independent;
· attention of sturdy H∞ filtering when it comes to doubtful TRM or clear out parameters resulting in a mode for completely mode-independent filtering
· improvement of LMI-based stipulations for a category of adaptive nation suggestions controllers with almost-certainly-bounded envisioned blunders and almost-certainly-asymptotically-stable corres
ponding closed-loop process states
· functions of Markov approach on singular platforms with norm bounded uncertainties and time-varying delays
Analysis and layout of Singular Markovian leap Systems comprises worthy reference fabric for tutorial researchers wishing to discover the world. The contents also are appropriate for a one-semester graduate course.
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Additional info for Analysis and Design of Singular Markovian Jump Systems
Analysis and Design of Singular Markovian Jump Systems by Guoliang Wang,Qingling Zhang,Xinggang Yan