Control of linear discrete-time systems by quantised feedback

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Control of linear discrete-time systems by quantised feedback

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In this study the authors, we investigate the problem of designing quantised ℋ feedback control for a class of discrete-time systems with and without bounded uncertainties. The quantiser has arbitrary form. A linear matrix inequality-based method using static and dynamic quantised output-feedback controller are designed to render the closed-loop system asymptotically stable with guaranteed γ-level. The authors illustrate the theoretical developments by numerical simulations.

Inspec keywords: asymptotic stability; control system synthesis; linear systems; discrete time systems; H∞ control; linear matrix inequalities; closed loop systems; feedback; numerical analysis

Other keywords: linear matrix inequality-based method; static quantised output-feedback controller; dynamic quantised output-feedback controller; closed-loop system; linear discrete-time systems; bounded uncertainties; quantised H feedback control; asymptotic stability; γ-level; numerical simulations

Subjects: Optimal control; Linear algebra (numerical analysis); Discrete control systems; Control system analysis and synthesis methods; Stability in control theory

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