A reduced-order discrete-time H-infinity norm bounding controller

Hoover, D.N.,Perkins, W.R.,Medanic, J.V.

Decision and Control, 1995., Proceedings of the 34th IEEE Conference（1995）

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摘要

Sufficient conditions to design a discrete-time reduced-order H ∞ norm bounding controller using measurement feedback are given. The solution method is based on the bounded real lemma, and a novel approach involving matrix inequalities and repeated use of positive semi-definiteness preserving transformations. The result is given in the form of two design equations. The first is a Riccati equation fully decoupled from the second and can be solved directly using the Hamiltonian approach. The second design equation depends on the solution of the first and must be solved using an iterative technique based on the solution to a Riccati equation

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关键词

h∞ control,riccati equations,discrete time systems,feedback,iterative methods,linear systems,matrix algebra,reduced order systems,h∞ norm bounding controller,hamiltonian approach,riccati equation,bounded real lemma,bounding controller,discrete-time systems,iterative method,matrix inequality,measurement feedback,reduced-order systems,sufficient conditions,computational complexity,robust control,algorithm design and analysis,control systems,positive semi definite,discrete time,intelligent control

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