New ℋ∞ controller design schemes are provided for a class of discrete-time systems with uncertain non-linear perturbations. The class includes both systems with time-varying delays and systems without delay. One design scheme is generated by state-feedback and the other scheme is based on proportional–summation–difference (PSD) feedback. An appropriate Lyapunov–Krasovskii functional (LKF) is constructed and a new parametrised characterisation is established in terms of feasibility-testing of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the theoretical developments.
Inspec keywords: H∞ control; uncertain systems; time-varying systems; discrete time systems; linear matrix inequalities; perturbation techniques; stability; nonlinear systems; Lyapunov methods; delay systems; state feedback; control system synthesis
Other keywords:
Subjects: Nonlinear control systems; Optimal control; Stability in control theory; Control system analysis and synthesis methods; Time-varying control systems; Linear algebra (numerical analysis); Distributed parameter control systems; Discrete control systems
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