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.

scholarly journals Passive gain-scheduling filtering for jumping linear parameter varying systems with fading channels based on the hidden Markov model

2018 ◽  
Vol 233 (1) ◽  
pp. 67-79 ◽  
Author(s):  
Liang Shen ◽  
Xiaofei Yang ◽  
Jing Wang ◽  
Jianwei Xia
Keyword(s):  
Fading Channels ◽  
Information Exchange ◽  
Hidden Markov ◽  
Sufficient Conditions ◽  
Gain Scheduling ◽  
Linear Parameter ◽  
Markov Jump ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Parameter Varying

This work is aimed to address the passive gain-scheduling filtering problem for Markov jump linear parameter varying systems with fading channels. A hidden Markov process is employed to describe mode information exchange between the system and the presented filter. By the aid of stochastic analysis theory, some sufficient conditions for guaranteeing the existence of an available passive gain-scheduling filter are established. On the basis of the designed filter, the passivity of the filtering error system is ensured in the presence of randomly occurring fading channels. Finally, an explained example is put forward to verify the effectiveness of the filter.

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 Asynchronous finite-time control for networked switched linear parameter-varying systems via an event-triggered communication scheme

2018 ◽  
Vol 233 (1) ◽  
pp. 44-57
Author(s):  
Hangli Ren ◽  
Guangdeng Zong
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Parameter ◽  
Input Output ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Time Control ◽  
Communication Scheme ◽  
Parameter Varying ◽  
Event Triggered

This article addresses the finite-time control problem for a class of switched linear parameter-varying systems via an event-triggered communication scheme. Different from the existing finite-time problems, not only the problem of finite-time boundedness but also the problem of input-output finite-time stability is considered in this article. Using an asynchronous switching scheme, sufficient conditions are established to guarantee the event-based closed-loop systems are both finite-time bounded and input-output finite-time stable. Then, a parameter-dependent asynchronous controller is designed by solving a set of linear matrix inequalities. Finally, a numerical example is presented to show the effectiveness of the result.

Stochastic Finite-Time Stabilization for Uncertain Jump Systems via State Feedback

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Shuping He ◽  
Fei Liu
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markov Jump ◽  
External Disturbances ◽  
Markov Jump Systems ◽  
Finite State ◽  
Finite Time Stabilization ◽  
Jump Systems

The stochastic finite-time stabilization problem is considered for a class of linear uncertain Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. By using the appropriate stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are proposed for the design of stochastic finite-time stabilization controller. The stabilization criteria are formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The designed finite-time stabilized controller makes the stochastic MJSs stochastic finite-time bounded and stochastic finite-time stabilizable for all admissible unknown external disturbances and uncertain parameters. Simulation results illustrate the effectiveness of the developed approaches.

scholarly journals Finite-TimeH∞Control for Discrete-Time Markov Jump Systems with Actuator Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Bo Li ◽  
Junjie Zhao
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Finite Time Stability ◽  
Time Control ◽  
Jump Systems

This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-timeH∞controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

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