publication . Article . 2011

Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions

Chen, Xiaoming; Lam, James; Gao, Huijun; Zhou, Shaosheng;
Open Access
  • Published: 17 Nov 2011 Journal: Multidimensional Systems and Signal Processing, volume 24, pages 395-415 (issn: 0923-6082, eissn: 1573-0824, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
Abstract
This paper investigates the problem of stability analysis and stabilization for two-dimensional (2-D) discrete fuzzy systems. The 2-D fuzzy system model is established based on the Fornasini---Marchesini local state-space model, and a control design procedure is proposed based on a relaxed approach in which basis-dependent Lyapunov functions are used. First, nonquadratic stability conditions are derived by means of linear matrix inequality (LMI) technique. Then, by introducing an additional instrumental matrix variable, the stabilization problem for 2-D fuzzy systems is addressed, with LMI conditions obtained for the existence of stabilizing controllers. Finally...
Subjects
free text keywords: Signal Processing, Hardware and Architecture, Software, Applied Mathematics, Artificial Intelligence, Information Systems, Computer Science Applications, Lyapunov equation, symbols.namesake, symbols, Mathematics, Mathematical optimization, Control theory, Stability conditions, Linear matrix inequality, Fuzzy control system, Control-Lyapunov function, Lyapunov function, Matrix (mathematics), Lyapunov redesign
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publication . Article . 2011

Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions

Chen, Xiaoming; Lam, James; Gao, Huijun; Zhou, Shaosheng;