Non-fragile Control for Positive Markov Jump Systems with Actuator Saturation

2019 ◽  
pp. 109-125
Author(s):  
Shicheng Li ◽  
Junfeng Zhang ◽  
Yun Chen ◽  
Xianglei Jia
Keyword(s):  
Actuator Saturation ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems

scholarly journals Finite-TimeH∞Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Junjie Zhao ◽  
Jing Wang ◽  
Bo Li
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Actuator Saturation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Time Control ◽  
Saturating Actuators ◽  
Finite State ◽  
Jump Systems

We deal with 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. A controller designed for unconstrained systems combined with a dynamic antiwindup compensator is given to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. The proposed conditions allow us to find dynamic anti-windup compensator which stabilize the closed-loop systems in the finite-time sense. All these conditions can be expressed in the form of linear matrix inequalities and therefore are numerically tractable, as shown in the example included in the paper.

Asynchronous control for Markov jump systems subject to actuator saturation

2021 ◽  
Author(s):  
Chao Wang ◽  
Lei Liu ◽  
Wei Wang ◽  
Xiaobing Luo ◽  
Huijin Fan
Keyword(s):  
Actuator Saturation ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Asynchronous Control ◽  
Jump Systems

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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