By Guoliang Wang, Qingling Zhang, Xinggang Yan

ISBN-10: 3319087223

ISBN-13: 9783319087221

ISBN-10: 3319087231

ISBN-13: 9783319087238

This monograph is an updated presentation of the research and layout of singular Markovian bounce platforms (SMJSs) during which the transition cost matrix of the underlying structures is usually doubtful, in part unknown and designed. the issues addressed comprise balance, stabilization, H∞ keep an eye on and filtering, observer layout, and adaptive keep watch over. functions of Markov procedure 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 e-book include:

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

· stabilization for SMJSs via TRM layout, noise keep watch over, proportional-derivative and partly mode-dependent keep watch over, by way of LMIs with and with no equation constraints;

· mode-dependent and mode-independent H∞ regulate ideas 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 sturdy H∞ filtering when it comes to 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 anticipated blunders and almost-certainly-asymptotically-stable corresponding closed-loop method states

· functions of Markov approach on singular structures with norm bounded uncertainties and time-varying delays

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

Show description

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

Best system theory books

Synchronization and linearity: An algebra for discrete event - download pdf or read online

This article provides new modelling and research recommendations for the outline of discrete occasion dynamic platforms, emphasizing timing and synchronization points. the quantity starts off with a research of the components of functions and relationships among graph thought, petri nets and algebras. It then is going directly to speak about deterministic discrete occasion structures, stochastic discrete occasion structures and open difficulties.

Download e-book for iPad: Hidden order: How adaptation builds complexity by John Holland

Al readers how Complexity--the watershed technology schedule for a minimum of the nexttwo decades--is affecting our lives.

Download e-book for kindle: Design of Multi-Bit Delta-Sigma A/D Converters (THE KLUWER by Yves Geerts

Layout of Multi-Bit Delta-Sigma A/D Converters discusses either structure and circuit layout facets of Delta-Sigma A/D converters, with a unique specialize in multi-bit implementations. The emphasis is on high-speed high-resolution converters in CMOS for ADSL functions, even supposing the cloth is also utilized for different specification pursuits and applied sciences.

Download e-book for kindle: Scheduling: Theory, Algorithms, and Systems by Michael L. Pinedo

This new version offers an up to date insurance of vital theoretical types within the scheduling literature in addition to major scheduling difficulties that take place within the genuine global. It back comprises supplementary fabric within the type of slide-shows from and flicks that convey implementations of scheduling platforms.

Additional resources for Analysis and Design of Singular Markovian Jump Systems

Example text

Int J Robust Nonlinear Control 13:755–784 8. Xiong JL, Lam J (2006) On robust stabilization of Markovian jump systems with uncertain switching probabilities. Automatica 41:897–903 9. Xiong JL, Lam J (2006) Fixed-order robust H⊆ filter design for Markovian jump systems with uncertain switching probabilities. IEEE Trans Signal Process 54:1421–1430 10. Wang GL, Zhang QL (2013) Robust H⊆ control of Markovian jump systems with uncertain switching probabilities. Asian Journal Control 14:1407–1410 11.

Similarly, the following theorems can be obtained directly. 38) E T P j E − E T Pi E − Wi ≥ 0, i ∞ S, j ∞ S¯ ik , j = i. 42) 26 2 Stability E T P j − E T Pi − Wi ≥ 0, i ∞ S, j ∞ S¯ ik , j = i. 43) πi j Wi , j∞Sik ⎛ ⎝ πi j E T (P j − Pi ) + Wi − τ Wi . 46) AiT G i AiT G i ⎡ρ ⎡ρ + πi j E T (P j − Pi )E + j∞Sik , j =i + πi j Wi , j∞Sik ⎛ ⎝ πi j E T (P j − Pi )E + Wi − τ Wi < 0. 1) under Case 4. From the criteria given above, it is seen that although the TRM may be exact known, uncertain or partially unknown, the proposed methods are all based on a precondition that all or some elements of an TRM are given beforehand.

34). 32). 36). This completes the proof. Similarly, the following theorems can be obtained directly. 38) E T P j E − E T Pi E − Wi ≥ 0, i ∞ S, j ∞ S¯ ik , j = i. 42) 26 2 Stability E T P j − E T Pi − Wi ≥ 0, i ∞ S, j ∞ S¯ ik , j = i. 43) πi j Wi , j∞Sik ⎛ ⎝ πi j E T (P j − Pi ) + Wi − τ Wi . 46) AiT G i AiT G i ⎡ρ ⎡ρ + πi j E T (P j − Pi )E + j∞Sik , j =i + πi j Wi , j∞Sik ⎛ ⎝ πi j E T (P j − Pi )E + Wi − τ Wi < 0. 1) under Case 4. From the criteria given above, it is seen that although the TRM may be exact known, uncertain or partially unknown, the proposed methods are all based on a precondition that all or some elements of an TRM are given beforehand.

Download PDF sample

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


by Paul
4.2

Rated 4.21 of 5 – based on 4 votes