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Title: H ∞ control for two-dimensional markovian jump systems with state-delays and defective mode information
Authors: Wei, Y 
Wang, M
Karimi, H.R
Qiu, J
Keywords: Fornasini marchesini local state spaces
Markovian jump linear
Markovian jump systems
Performance analysis
State-feedback controllers
Transition probabilities
Transition probability matrix
Underlying systems
Delay control systems
Linear matrix inequalities
Mathematical models
Two dimensional
Uncertain systems
Markov processes
Issue Date: 2013
Citation: Wei, Y, Wang, M, Karimi, H.R, Qiu, J (2013). H ∞ control for two-dimensional markovian jump systems with state-delays and defective mode information. Mathematical Problems in Engineering 2013 : 520503. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: This paper investigates the problem of H? state-feedback control for a class of two-dimensional (2D) discrete-time Markovian jump linear time-delay systems with defective mode information. The mathematical model of the 2D system is established based on the well-known Fornasini-Marchesini local state-space model, and the defective mode information simultaneously consists of the exactly known, partially unknown, and uncertain transition probabilities. By carefully analyzing the features of the transition probability matrices, together with the convexification of uncertain domains, a new H? performance analysis criterion for the underlying system is firstly derived, and then the H? state-feedback controller synthesis is developed via a linearisation technique. It is shown that the controller gains can be constructed by solving a set of linear matrix inequalities. Finally, an illustrative example is provided to verify the effectiveness of the proposed design method. © 2013 Yanling Wei et al.
Source Title: Mathematical Problems in Engineering
ISSN: 1024-123X
DOI: 10.1155/2013/520503
Rights: Attribution 4.0 International
Appears in Collections:Staff Publications

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