Linear feedback approach to the stabilisation of uncertain discrete systems

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Linear feedback approach to the stabilisation of uncertain discrete systems

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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.

Inspec keywords: discrete systems; stability; optimal control; linear systems; feedback

Other keywords: uncertain systems; output-feedback; discrete systems; region of attraction; linear systems; linear feedback; linear quadratic regulator theory; state-feedback; stabilisation; optimal control

Subjects: Stability in control theory; Discrete control systems; Optimal control

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