Reduced order dynamic output feedback control of uncertain discrete-time markov jump linear systems.
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2017
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Abstract
This paper deals with the problem of designing reduced order robust dynamic output feedback controllers for discretetime
Markov jump linear systems (MJLS) with polytopic state space matrices and uncertain transition probabilities. Starting
from a full order, mode-dependent and polynomially parameter-dependent dynamic output feedback controller, sufficient linear
matrix inequality based conditions are provided for the existence of a robust reduced order dynamic output feedback stabilizing
controller assuring an upper bound to the H∞ or the H2 norm of the closedloop
system. The main advantage of the proposed method when compared to the existing approaches is the fact that the
the decision variables of the problem. In other words, the matrices that define the
controller realization do not depend explicitly on the state space matrices associated to the modes of the MJLS. As a consequence,
the method is specially suitable to handle order reduction or cluster availability constraints in the context ofH∞ orH2 dynamic
output feedback control of discrete-time MJLS. Additionally, as illustrated by means of numerical examples, the proposed
approach can provide less conservative results than other conditions in the literature.
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Keywords
Markov jump, Dynamic output, Feedback control, Linear systems
Citation
MORAIS, C. de F. et al. Reduced order dynamic output feedback control of uncertain discrete-time markov jump linear systems. International Journal of Control, v. 90, p. 2368-2383, 2017. Disponível em: <http://www.tandfonline.com/doi/abs/10.1080/00207179.2016.1245871>. Acesso em: 02 out. 2017.