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

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 platforms is usually doubtful, in part unknown and designed. the issues addressed comprise balance, stabilization, H∞ keep watch over and filtering, observer layout, and adaptive keep watch over. functions of Markov approach are investigated through the use of Lyapunov idea, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, between different techniques.

Features of the e-book include:

· examine of the soundness challenge for SMJSs with common transition expense matrices (TRMs);

· stabilization for SMJSs through TRM layout, noise keep an eye on, proportional-derivative and partly mode-dependent regulate, by way of LMIs with and with no equation constraints;

· mode-dependent and mode-independent H∞ regulate suggestions 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 strong H∞ filtering by way of 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 country suggestions controllers with almost-certainly-bounded expected errors and almost-certainly-asymptotically-stable corresponding closed-loop process states

· purposes of Markov approach on singular platforms with norm bounded uncertainties and time-varying delays

Analysis and layout of Singular Markovian leap Systems includes useful 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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Extra info for Analysis and Design of Singular Markovian Jump Systems

Example text

Other controllers such as noise control, proportional-derivative (PD) control and partially mode-dependent (PMD) control are also considered. These stabilizing controller are formulated in terms of LMIs or LMIs with equation constraints, which can be solved easily. 1) where x(t) ∞ Rn is the state vector, u(t) ∞ Rm is the control input. Matrix E ∞ Rn×n may be singular, that is, rank(E) = r ≥ n. A(rt ) and B(rt ) are known matrices with compatible dimensions. 3). In this section, the TRM ω is assumed exact known obtained and described by Case 2.

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