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Linear feedback approach to the stabilisation of uncertain discrete systems. (English) Zbl 0664.93072

The paper presents a linear feedback approach to solve the stabilisation problem of linear discrete systems with additive-type bounded uncertainties. The approach is based on the linear quadratic (LQ) regulator theory and establishes that stable performance is guaranteed for the system but within a prescribed region of attraction. Both state- feedback and output-feedback schemes are developed to implement the proposed controller.

MSC:

93D15 Stabilization of systems by feedback
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
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