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- Title
Control design of non‐homogeneous Markovian jump systems via relaxation of bilinear time‐varying matrix inequalities.
- Authors
Hyun Kim, Sung
- Abstract
This study addresses the issue of control synthesis for discrete‐time non‐homogeneous Markov jump systems. Here, the concept of multiple boundary sets (BSs) is made to represent time‐varying transition probabilities of the system operation mode, and another kind of probabilities is exploited to describe the switching among the multiple BSs. Overall, the H∞ stabilisation condition is first derived in terms of bilinear time‐varying matrix inequalities with two kinds of probabilities that affect the evolvement of the modes. Then, to derive a finite number of solvable conditions from the stabilisation condition, this study introduces a relaxation technique capable of directly integrating some available constraints on the probabilities without resorting to any over‐bounding technique.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2017, Vol 11, Issue 2, p47
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2016.0567