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FEEDBACK PREDICTIVE CONTROL OF NONHOMOGENEOUS MARKOV JUMP SYSTEMS WITH NONSYMMETRIC CONSTRAINTS

Published online by Cambridge University Press:  18 December 2014

YANQING LIU  and
FEI LIU
YANQING LIU
Affiliation:
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, China email yanqingliu2010@gmail.com, fliu@jiangnan.edu.cn
FEI LIU*
Affiliation:
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, China email yanqingliu2010@gmail.com, fliu@jiangnan.edu.cn
*
✉fliu@jiangnan.edu.cn
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Abstract

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We 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.

Keywords

93B52predictive controlnonhomogeneous Markov jump systemnonsymmetric constraintsdiscrete time
Type
Research Article
Information
The ANZIAM Journal , Volume 56 , Issue 2 , October 2014 , pp. 138 - 149
Copyright
Copyright © 2014 Australian Mathematical Society 

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