Brief Augmented gradient flows for on-line robust pole assignment via state and output feedback

Authors:
Danchi Jiang;Jun Wang
Affiliations:
Delano Technology Corporation, Toronto, Ont., Canada M5C 1E5;Department of Automation and Computer-Aided Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Brief A gradient flow approach to on-line robust pole assignment for synthesizing output feedback control systems

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Abstract

This paper is concerned with robust pole assignment in synthesis of linear control systems via state and output feedbacks. First, both the pole assignment and robustness requirements are appropriately formulated as two optimization problems. Then, gradient flow models are developed for the on-line computation of feedback gain matrices that result in robust pole assignment by solving these two optimization problems. A technique is introduced to facilitate the real-time matrix inverse involved for realizing the gradient flow models. The resulting augmented gradient flows have desired convergence properties. Simulation results are included to show the effectiveness of the proposed approach.