Multiple delay-dependent finite-time boundedness and input–output finite-time mean square stabilization of uncertain semi-Markovian jump systems with input constraint

2020 ◽  
Author(s):  
Yongheng Pang ◽  
Xin Wang ◽  
Ting Li ◽  
Shuowei Jin ◽  
Shaoxin Sun
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Mean Square ◽  
Input Output ◽  
Input Constraint ◽  
Markovian Jump ◽  
Multiple Delay ◽  
Finite Time Boundedness ◽  
Delay Dependent ◽  
Jump Systems

Input–output finite-time mean square stabilization of nonlinear semi-Markovian jump systems

Automatica ◽  
2019 ◽  
Vol 104 ◽  
pp. 82-89 ◽  
Author(s):  
Huaicheng Yan ◽  
Yongxiao Tian ◽  
Hongyi Li ◽  
Hao Zhang ◽  
Zhichen Li
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Mean Square ◽  
Input Output ◽  
Markovian Jump ◽  
Jump Systems

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.

scholarly journals Delay-Dependent Finite-TimeH∞Filtering for Markovian Jump Systems with Different System Modes

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Yong Zeng ◽  
Jun Cheng ◽  
Shouming Zhong ◽  
Xiucheng Dong
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Time Interval ◽  
System Matrix ◽  
Markovian Jump ◽  
State Delay ◽  
System Trajectory ◽  
Delay Dependent ◽  
Jump Systems ◽  
Filtering Problem

This paper is concerned with the problem of delay-dependent finite-timeH∞filtering for Markovian jump systems with different system modes. By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our results, a novel sufficient condition for finite-time boundness with anH∞performance index is derived. Particularly, two different Markov processes have been considered for modeling the randomness of system matrix and the state delay. Based on the derived condition, theH∞filtering problem is solved, and an explicit expression of the desired filter is also given; the system trajectory stays within a prescribed bound during a specified time interval. Finally, a numerical example is given to illustrate the effectiveness and the potential of the proposed techniques.

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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