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- Title
A partially delay-dependent and disordered controller design for discrete-time delayed systems.
- Authors
Wang, Guoliang; Li, Boyu; Zhang, Qingling; Yang, Chunyu
- Abstract
This paper considers the stabilization problem for a class of discrete-time delayed systems by exploiting a partially delay-dependent controller whose gains suffer a disordering phenomenon simultaneously. Two stochastic variables are used to describe the partially delay-dependent and disordering properties, which are not independent, and referred to the original operation modes here. By introducing an augmented Markov chain, the corresponding closed-loop system is transformed into a Markovian jump system with four new operation modes (NOMs). Based on the proposed model, a kind of controller depending on NOMs is firstly proposed with linear matrix inequalities forms. Moreover, without designing a controller containing NOMs directly, another kind of stabilizing controller referring to one depending on original operation modes is developed, which is composed of a series of NOM-dependent controllers and satisfies a minimum variance approximation. Finally, two numerical examples are used to demonstrate the utility and superiority of the proposed methods. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
TIME delay systems; DISCRETE-time systems; AUTOMATIC control systems; MARKOV processes; ADAPTIVE control systems
- Publication
International Journal of Robust & Nonlinear Control, 2017, Vol 27, Issue 16, p2646
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.3703