Finite-time boundedness analysis and composite anti-disturbance control for uncertain semi-Markovian jump systems with time delay

2021 ◽  
Vol 65 (4) ◽  
Author(s):  
Tianbo Xu ◽  
Xianwen Gao ◽  
Wenhai Qi
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Finite Time Boundedness ◽  
Jump Systems

scholarly journals Robust Finite-TimeH∞Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-16
Author(s):  
Dong Yang ◽  
Guangdeng Zong
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
Feedback Stabilization ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Finite Time Boundedness ◽  
Jump Systems ◽  
Nonlinear Markovian Jump Systems

This paper is concerned with the problem of robust finite-timeH∞control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities. Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite-time boundedness,H∞finite-time boundedness, and finite-timeH∞state feedback stabilization, respectively. Then, a robust finite-timeH∞state feedback controller is designed, which, for all admissible uncertainties, guarantees theH∞finite-time boundedness of the corresponding closed-loop system. All the conditions are presented in terms of strict linear matrix inequalities. Finally a numerical example is provided to demonstrate the effectiveness of all the results.

scholarly journals Finite-TimeH∞Filtering for Singular Stochastic Markovian Jump Systems with Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Bin Yan ◽  
Xiaojia Zhou ◽  
Jun Cheng ◽  
Fangnian Lang
Keyword(s):  
Finite Time ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Markovian Jump Systems ◽  
Time Interval ◽  
Time Varying ◽  
Markovian Jump ◽  
Markovian Jump System ◽  
Finite Time Boundedness ◽  
Jump Systems

The issue of finite-timeH∞filtering for singular stochastic Markovian jump systems with time-varying delays is concerned in this paper.H∞filtering is designed for underlying closed-loop singular Markovian jump system and system state does not exceed a given bound over some finite-time interval. Considering the full information of underlying Markov process, sufficient conditions are obtained to guarantee that the described system is finite-time stability andH∞filtering finite-time boundedness. By establishing the results of stochastic character and finite-time boundedness, the closed-loop singular Markovian jump system trajectory stays within the given bound. At last, a numerical example is supplied to show the efficiency of the proposed method.

Mode-dependent robust and non-fragile finite-time H∞ control for nonlinear singular Markovian jump systems

2021 ◽  
pp. 014233122110350
Author(s):  
Hongping Niu ◽  
Lin Li ◽  
Pengnan Wang
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Closed Loop ◽  
Feedback Controller ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Closed Loop Systems ◽  
Singular Markovian Jump Systems ◽  
Finite Time Boundedness ◽  
Jump Systems

This paper is concerned with the problem of mode-dependent robust and non-fragile finite-time [Formula: see text] control for a class of nonlinear singular Markovian jump systems (NSMJSs) with parameter uncertainties and time-varying norm-bounded disturbance. Some sufficient conditions ensuring the singular stochastic [Formula: see text] finite-time boundedness (SS[Formula: see text]FTB) are developed for the given system by using the stochastic analysis and linear matrix inequality techniques. Then, a finite-time [Formula: see text] state feedback controller is designed, which can guarantee the [Formula: see text] finite-time boundedness of the closed-loop systems. Furthermore, a robust and non-fragile finite-time [Formula: see text] state feedback controller is also provided to ensure the [Formula: see text] finite-time boundedness of the closed-loop systems when the controller gain has an additive perturbation. Finally, two numerical examples are given to illustrate the effectiveness of the obtained results.

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