Journal ArticleDOI
Sliding Mode Control of Singular Stochastic Markov Jump Systems
Zhiguang Feng,Peng Shi +1 more
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TLDR
An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) using replacement of matrix variables and the obtained results given in the form of strict linear matrix inequalities are applied to solve SMC problem of SSMSs.Abstract:
An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) in this paper. By using replacement of matrix variables, a new mean square admissibility criterion of SSMSs is proposed first. Based on this admissibility criterion, the desired state-feedback controller is designed to guarantee the closed-loop system to be mean-square admissible. Then, the obtained results given in the form of strict linear matrix inequalities are applied to solve SMC problem of SSMSs. In order to illustrate the workability and applicability of the theoretic results developed, numerical examples are provided.read more
Citations
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Journal ArticleDOI
Adaptive Event-Triggered SMC for Stochastic Switching Systems With Semi-Markov Process and Application to Boost Converter Circuit Model
TL;DR: The aim of this work is to design an appropriate SMC law based on an adaptive event-triggered communication scheme such that the resulting closed-loop system could realize stochastic stability and reduce communication burden.
Journal ArticleDOI
Sliding Mode Control for Nonlinear Stochastic Singular Semi-Markov Jump Systems
TL;DR: The proposed sliding mode control law is designed to attenuate the influences of uncertainty and nonlinear term in a finite-time region and the practical system about dc motor model is given to verify the validity of the proposed method.
Journal ArticleDOI
HMM-Based Asynchronous H ∞ Filtering for Fuzzy Singular Markovian Switching Systems With Retarded Time-Varying Delays
TL;DR: F fuzzy asynchronous filtering for fuzzy singular Markovian switching systems with retarded time-varying delays via the Takagi–Sugeno fuzzy control technique contains synchronous and mode-independent filtering as special cases.
Journal ArticleDOI
Hidden-Markov-Model-Based Asynchronous Filter Design of Nonlinear Markov Jump Systems in Continuous-Time Domain
TL;DR: This paper addresses the dissipative asynchronous filtering problem for a class of Takagi–Sugeno fuzzy Markov jump systems in the continuous-time domain and establishes two different methods for the existence of desired filter.
Journal ArticleDOI
Fuzzy SMC for Quantized Nonlinear Stochastic Switching Systems With Semi-Markovian Process and Application.
TL;DR: In this article, a quantized sliding-mode control (SMC) design methodology for nonlinear stochastic switching systems subject to semi-Markovian switching parameters, T-S fuzzy strategy, uncertainty, signal quantization, and nonlinearity is proposed.
References
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Book
Sliding mode control : theory and applications
TL;DR: This text provides the reader with a grounding in sliding mode control and is appropriate for the graduate with a basic knowledge of classical control theory and some knowledge of state-space methods.
Book
Robust Control and Filtering of Singular Systems
Shengyuan Xu,James Lam +1 more
TL;DR: This document describes the design and development of the Markovian Jump Systems, as well as some of the systems used in the production of these systems, which were developed and tested in the field.
Journal ArticleDOI
Brief paper: Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
Lixian Zhang,El-Kébir Boukas +1 more
TL;DR: The sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via LMIs formulation, and the relation between the stability criteria currently obtained for the usual MJLS and switched linear systems under arbitrary switching, are exposed by the proposed class of hybrid systems.
BookDOI
Analysis and design of descriptor linear systems
TL;DR: This paper presents a meta-analyses of Descriptor Linear Systems and its applications to linear programming, focusing on the design and analysis of the descriptor linear systems themselves.
Journal ArticleDOI
On designing of sliding-mode control for stochastic jump systems
TL;DR: Using Linear matrix inequalities (LMIs) approach, sufficient conditions are proposed to guarantee the stochastic stability of the underlying system and a reaching motion controller is designed such that the resulting closed-loop system can be driven onto the desired sliding surface in a limited time.