Dynamic Output Feedback Control and Guaranteed Cost Finite-Time Boundedness for Switched Linear Systems

2021 ◽  
Author(s):  
Mingxing Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Finite Time ◽  
Output Feedback Control ◽  
Dynamic Output Feedback ◽  
Switched Linear Systems ◽  
Dynamic Output ◽  
Guaranteed Cost ◽  
Finite Time Boundedness

scholarly journals Finite-Time Boundedness of Markov Jump System with Piecewise-Constant Transition Probabilities via Dynamic Output Feedback Control

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Bin Yan ◽  
Xiaojia Zhou ◽  
Jun Cheng ◽  
Fangnian Lang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Finite Time ◽  
Transition Probabilities ◽  
Output Feedback Control ◽  
Dynamic Output Feedback ◽  
Piecewise Constant ◽  
Markov Jump System ◽  
Dynamic Output ◽  
Finite Time Boundedness

This paper first investigates the problem of finite-time boundedness of Markovian jump system with piecewise-constant transition probabilities via dynamic output feedback control, which leads to both stochastic jumps and deterministic switches. Based on stochastic Lyapunov functional, the concept of finite-time boundedness, average dwell time, and the coupling relationship among time delays, several sufficient conditions are established for finite-time boundedness andH∞filtering finite-time boundedness. The system trajectory stays within a prescribed bound. Finally, an example is given to illustrate the efficiency of the proposed method.

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