Finite‐Time H ∞ Filtering for Nonlinear Continuous‐Time Singular Semi‐Markov Jump Systems

2018 ◽  
Vol 21 (2) ◽  
pp. 1017-1027 ◽  
Author(s):  
Jimin Wang ◽  
Shuping Ma ◽  
Chenghui Zhang
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems

scholarly journals Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Lianjun Xiao ◽  
Xiaofeng Wang ◽  
Lingling Gao
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Hidden Markov ◽  
Sufficient Conditions ◽  
Linear Parameter ◽  
Markov Jump ◽  
Linear Parameter Varying ◽  
Markov Jump Systems ◽  
Parameter Varying ◽  
Jump Systems

The finite-time asynchronous stabilization problem has received great attention because of the wide application of actual engineering. In this paper, we consider the problem of finite-time asynchronous stabilization for nonlinear hidden Markov jump systems (HMJSs) with linear parameter varying. Compared with the existing research results on Markov jump systems, this paper considers the HMJSs which contain both the hidden state and the observed state in continuous-time case. Moreover, we consider the parameters of the systems are time varying. The aim of the paper is to design a proper observation-mode-based asynchronous controller such that the closed-loop HMJSs with linear parameter varying be stochastically finite-time bounded with H ∞ performance (SFTB- H ∞ ). Then, we give some sufficient conditions to solve the SFTB- H ∞ asynchronous controller by considering the stochastic Lyapunov–Krasovskii functional (SLKF) methods. Finally, a numerical example is used to show the validity of the main results.

An event-triggered approach to finite-time observer-based control for Markov jump systems with repeated scalar nonlinearities

2017 ◽  
Vol 40 (9) ◽  
pp. 2789-2797 ◽  
Author(s):  
Jingyu Li ◽  
Liang Shen ◽  
Fengqi Yao ◽  
Huanyu Zhao ◽  
Jing Wang
Keyword(s):  
Finite Time ◽  
Design Method ◽  
Function Technique ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Diagonally Dominant Matrix ◽  
Error System ◽  
Dominant Matrix ◽  
Jump Systems ◽  
Event Triggered

This paper studies the issue of finite-time observer-based control via an event-triggered scheme for Markov jump repeated scalar nonlinear systems. An observer-based controller via an event-triggered scheme is proposed, which can save the limited network communication bandwidth effectively, so that the resulting error system is stochastically finite-time bounded. Based on the positive definite diagonally dominant matrix and the Lyapunov function technique, a sufficient condition is presented for the solvability of the addressed problem, and the desired observer-based controller can be constructed via a convex optimization problem. In the end, a simulation example is employed to show the validity and practicability of the proposed design method.

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