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 up to date presentation of the research and layout of singular Markovian bounce structures (SMJSs) during which the transition cost matrix of the underlying structures is mostly doubtful, partly unknown and designed. the issues addressed comprise balance, stabilization, H∞ keep an eye on and filtering, observer layout, and adaptive regulate. purposes of Markov procedure are investigated through the use of Lyapunov concept, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, between different techniques.

Features of the e-book include:

· learn of the soundness challenge for SMJSs with basic transition cost matrices (TRMs);

· stabilization for SMJSs by means of TRM layout, noise keep watch over, proportional-derivative and in part mode-dependent regulate, by way of LMIs with and with out equation constraints;

· mode-dependent and mode-independent H∞ keep watch over 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 clear out parameters resulting in a mode for absolutely mode-independent filtering

· improvement of LMI-based stipulations for a category of adaptive country suggestions controllers with almost-certainly-bounded expected blunders and almost-certainly-asymptotically-stable corresponding closed-loop procedure states

· purposes of Markov procedure on singular structures with norm bounded uncertainties and time-varying delays

Analysis and layout of Singular Markovian leap Systems comprises worthwhile reference fabric for educational researchers wishing to discover the world. The contents also are appropriate for a one-semester graduate course.

Show description

Read or Download Analysis and Design of Singular Markovian Jump Systems PDF

Best system theory books

Phase Transitions (Primers in Complex Systems)

Part transitions--changes among varied states of association in a posh system--have lengthy helped to give an explanation for physics thoughts, equivalent to why water freezes right into a stable or boils to develop into a gasoline. How could section transitions make clear very important difficulties in organic and ecological complicated structures?

Evolving Rule-Based Models: A Tool for Design of Flexible Adaptive Systems

The items of modelling and regulate switch as a result of dynamical features, fault improvement or just growing old. there's a have to up-date types inheriting worthy constitution and parameter info. The publication provides an unique strategy to this challenge with a few examples. It treats an unique method of online edition of rule-based types and platforms defined via such types.

An Operator Perspective on Signals and Systems

During this monograph, we mix operator innovations with kingdom area the way to resolve factorization, spectral estimation, and interpolation difficulties bobbing up on top of things and sign processing. We current either the idea and algorithms with a few Matlab code to resolve those difficulties. A classical method of spectral factorization difficulties up to speed idea is predicated on Riccati equations coming up in linear quadratic keep watch over idea and Kalman ?

Additional info for Analysis and Design of Singular Markovian Jump Systems

Example text

88) is transformed into T Θ˜ i + Pi1T Bi1 τ −1 Bi1 Pi1 < 0. 11), is equivalent to ⎪ T Ai1 Pi1 ⎡ρ ⎪ ⎡ρ T + Ai3 Pi3 E + N T εi j E T (P j1 − Pi1 ) − ωii Ui + τ γi2 Fi1 Fi1 j=1, j =i T + Pi1T Bi1 τ −1 Bi1 Pi1 − βπ˜ ii Ui + N ⎡ ⎪ (βπ˜ i j + ωi j ) E T P j1 − E T Pi1 − Ui < 0. 25ωii2 Si + Ui Si−1 Ui . 88). 88). Let t0 = 0 and define a sequence of stopping time tk+1 = inf{t > tk : rt = rtk }, for all k ∈ 0. It is concluded that for any k ∈ 0, rt = rtk is constant for all t ∞ [tk , tk+1 ) and tk → ⊆ as k → ⊆.

5 0 2 4 6 8 10 12 Time (s) Fig. 01 10 x1(t) x (t) 2 System state 5 z(t) 0 −5 −10 −15 −20 0 2 4 6 8 10 12 Time (s) Fig. 1022]. Let initial conditions x1 (0) = 1, x2 (0) = −1, z(0) = 1 and r0 = 1. The simulation of system mode r (t) is shown in Fig. 2, and the evolution of system state is given in Fig. 3. 0685. 158), that is Ra = Rb = 1Ω, it becomes a deterministic singularly perturbed system. Then, it is obtained that there is no solution if the approach proposed in [28] is employed. 3. This example, again, shows that our result is less conservative.

Automatica 45:1462–1467 52 2 Stability 12. Zhang LX, Boukas EK (2009) Stability and stabilization of Markovian jump linear systems with partly unknown transition probability. Automatica 45:463–468 13. Zhang Y, He Y, Wu M, Zhang J (2011) Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices. Automatica 47:79–84 14. Zhang LX, Lam J (2010) Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions.

Download PDF sample

Rated 4.79 of 5 – based on 15 votes