Frequency-domain approach to the absolute stability analysis of discrete-time linear-quadratic regulators

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Frequency-domain approach to the absolute stability analysis of discrete-time linear-quadratic regulators

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© The Institution of Electrical Engineers
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A frequency-domain approach to the absolute stability analysis of multivariable time-invariant discrete-time linear quadratic regulators is developed in the paper. An imbedding form of a fundamental equality relating the return-difference and the open-loop transfer matrices is the key for the application of the Popov criterion in the analysis. This imbedding form also establishes a necessary condition for a closed-loop matrixtransfer function to have been obtained through an LQ design.

Inspec keywords: multivariable control systems; optimal control; matrix algebra; frequency-domain analysis; discrete time systems; stability criteria

Other keywords: imbedding form; Popov criterion; return-difference; open-loop transfer matrices; closed-loop matrix transfer function; frequency-domain; multivariable time-invariant discrete-time linear quadratic regulators; optimal control; fundamental equality; absolute stability analysis; LQ design; stability criteria

Subjects: Discrete control systems; Control system analysis and synthesis methods; Stability in control theory; Multivariable control systems; Algebra; Optimal control

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