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.

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 Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zhongyi Tang
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Actuator Saturation ◽  
Feedback Controller ◽  
Markovian Jump Systems ◽  
Time Interval ◽  
Markovian Jump ◽  
State Feedback Controller ◽  
Attenuation Level ◽  
Jump Systems

The problem of finite-timeL2-L∞control for Markovian jump systems (MJS) is investigated. The systems considered time-varying delays, actuator saturation, and polytopic uncertain transition description. The purpose of this paper is to design a state feedback controller such that the system is finite-time bounded (FTB) and a prescribedL2-L∞disturbance attenuation level during a specified time interval is guaranteed. Based on the Lyapunov method, a linear matrix inequality (LMI) optimization problem is formulated to design the delayed feedback controller which satisfies the given attenuation level. Finally, illustrative examples show that the proposed conditions are effective for the design of robust state feedback controller.

scholarly journals Finite-Time H∞ Filtering for Discrete-Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-22
Author(s):  
Wei Guan ◽  
Lei Fu ◽  
Yuechao Ma
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Transition Probabilities ◽  
Input Saturation ◽  
Markovian Jump Systems ◽  
Time Interval ◽  
Markovian Jump ◽  
Partly Unknown Transition Probabilities ◽  
Singular Markovian Jump Systems ◽  
Jump Systems

The paper is discussed with the problem of finite-time H∞ filtering for discrete-time singular Markovian jump systems (SMJSs). The systems under consideration consist of time-varying delay, actuator saturation and partly unknown transition probabilities. We pay attention to the design of a H∞ filtering which ensures the filtering error systems to be singular stochastic finite-time boundedness. By employing an adequate stochastic Lyapunov functional together with a class of linear matrix inequalities (LMIs), a sufficient condition is firstly established, which guarantees the systems to achieve our goal and satisfy a prescribed H∞ attenuation level in the given finite-time interval. Considering the above conditions, a distinct presentation for the requested H∞ filter is given. Finally, two numerical examples add to a dynamical Leontief model of economic systems are presented to illustrate the validity of the developed theoretical results.

Non-fragile H∞ SMC for Markovian jump systems in a finite-time

2021 ◽  
Author(s):  
Wenhai Qi ◽  
Yaoyao Zhou ◽  
Lihua Zhang ◽  
Jinde Cao ◽  
Jun Cheng
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems
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