This study is concerned with the generalised ℋ2 and the ℋ∞ static control problems for discrete-time fuzzy systems with time-varying norm-bounded parametric uncertainties. Based on the solutions to certain linear matrix inequalities LMIs, static output feedback controllers are designed, which can ensure the asymptotic stability and the generalised ℋ2 and ℋ∞ performance level, respectively. Differenting from the existing results, the design conditions in this study are derived in terms of LMIs directly, and the local output matrices are allowed to be different. Three illustrative examples are provided to demonstrate the effectiveness and the reduced conservatism of the proposed methods.
Inspec keywords: linear matrix inequalities; fuzzy control; H∞ control; control system synthesis; robust control; feedback; discrete time systems; asymptotic stability; time-varying systems; fuzzy systems
Other keywords:
Subjects: Discrete control systems; Time-varying control systems; Linear algebra (numerical analysis); Stability in control theory; Fuzzy control; Optimal control; Control system analysis and synthesis methods
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