Reachable Set Boundary Estimations for Neutral Semi-Markov Jump System

2021 ◽  
Vol 10 (04) ◽  
pp. 199-210
Author(s):  
涛 吕
Keyword(s):  
Reachable Set ◽  
Markov Jump ◽  
Markov Jump System

FEEDBACK PREDICTIVE CONTROL OF NONHOMOGENEOUS MARKOV JUMP SYSTEMS WITH NONSYMMETRIC CONSTRAINTS

2014 ◽  
Vol 56 (2) ◽  
pp. 138-149
Author(s):  
YANQING LIU ◽  
FEI LIU
Keyword(s):  
Predictive Control ◽  
Controller Design ◽  
Invariant Set ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Markov Jump System ◽  
Predictive Controller ◽  
Feasibility Region ◽  
Nonhomogeneous Markov Jump System ◽  
Jump Systems

AbstractWe consider feedback predictive control of a discrete nonhomogeneous Markov jump system with nonsymmetric constraints. The probability transition of the Markov chain is modelled as a time-varying polytope. An ellipsoid set is utilized to construct an invariant set in the predictive controller design. However, when the constraints are nonsymmetric, this method leads to results which are over conserved due to the geometric characteristics of the ellipsoid set. Thus, a polyhedral invariant set is applied to enlarge the initial feasible area. The results obtained are for a more general class of dynamical systems, and the feasibility region is significantly enlarged. A numerical example is presented to illustrate the advantage of the proposed method.

Reachable set estimation for Markov jump LPV systems with time delays

2020 ◽  
Vol 376 ◽  
pp. 125117 ◽  
Author(s):  
Xuelian Wang ◽  
Jianwei Xia ◽  
Jing Wang ◽  
Zhen Wang ◽  
Jian Wang
Keyword(s):  
Time Delays ◽  
Reachable Set ◽  
Markov Jump ◽  
Set Estimation ◽  
Lpv Systems ◽  
Reachable Set Estimation

scholarly journals A Simplified Predictive Control of Constrained Markov Jump System with Mixed Uncertainties

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Yanyan Yin ◽  
Yanqing Liu ◽  
Hamid R. Karimi
Keyword(s):  
Predictive Control ◽  
Transition Probability ◽  
Dynamic Performance ◽  
Markov Jump ◽  
Markov Jump System ◽  
Predictive Controller ◽  
Model Predictive Control Algorithm ◽  
Simplified Algorithm ◽  
Jump Systems ◽  
Mixed Uncertainties

A simplified model predictive control algorithm is designed for discrete-time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous steps, a simplified mode-dependent predictive controller is presented to drive the state to the neighbor area around the origin. Then the trajectory of states is driven as expected to the origin by the final-step mode-independent predictive controller. The computational burden is dramatically cut down and thus it costs less time but has the acceptable dynamic performance. Furthermore, the polyhedron invariant set is utilized to enlarge the initial feasible area. The numerical example is provided to illustrate the efficiency of the developed results.

Stability Analysis for Discrete-Time Markov Jump System

2012 ◽  
Vol 249-250 ◽  
pp. 1224-1227
Author(s):  
Ming Wei Li ◽  
Yi Chen ◽  
Xiao Han Zhang
Keyword(s):  
Linear Systems ◽  
Data Packet ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Mean Square ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Data Packet Dropout ◽  
Markov Jump System ◽  
Markov Jump Linear Systems

Network control systems (NCSs) where the problems of data packet dropout induced by communication channel is studied in this paper. We model the data packet dropout a Markov Jump Linear systems and introduce a freedom matrix. Our goal is to find a controller such that the Markov Jump Linear systems mean square stable. According to linear matrix inequalities (LMI), we can get the sufficient condition on the mean square stabilization of NCSs. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Event-triggered asynchronous H∞ fault-tolerant control for discrete-time Markov jump system with actuator faults

2020 ◽  
pp. 095965182096573
Author(s):  
Ai-Min Wang ◽  
Jian-Ning Li
Keyword(s):  
Markov Models ◽  
Fault Tolerant ◽  
Actuator Faults ◽  
Closed Loop System ◽  
Network Resources ◽  
Markov Jump ◽  
External Disturbances ◽  
Controlled System ◽  
Markov Jump System ◽  
Event Triggered

This article focuses on the design of event-triggered asynchronous [Formula: see text] fault-tolerant controller for Markov jump system subject to actuator faults and external disturbances. The asynchronization phenomenon not only occurs between the controlled system and controller but also exists between the controlled system and faulty actuator, which are portrayed as two corresponding hidden Markov models. Moreover, a mode-dependent event-triggered mechanism is introduced to facilitate network resources utilization. Then, by introducing mode-dependent Lyapunov-Krasovskii functional, a sufficient condition is obtained to guarantee that the closed-loop system is randomly mean square stable with [Formula: see text] performance. Finally, two numerical examples are employed to illustrate the effectiveness of the proposed synthesis scheme.

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