Gradient flow approach to LQ cost improvement for simultaneous stabilization problem

Gradient flow approach to LQ cost improvement for simultaneous stabilization problem

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Article ID: iaor19972426
Country: United Kingdom
Volume: 17
Issue: 5
Start Page Number: 367
End Page Number: 375
Publication Date: Dec 1996
Journal: Optimal Control Applications & Methods
Authors:
Keywords: optimization
Abstract:

In this paper, the authors consider LQ cost optimization for the simultaneous stabilization problem. The objective is to find a single simultaneously stabilizing feedback gain matrix such that all closed-loop systems exhibit good transient behaviour. The cost function used is a quadratic function of the system states and the control vector. This paper proposes to seek an optimization solution by solving an ordinary differential equation which is a gradient flow associated with the cost function. Two examples are presented to illustrate the effectiveness of the proposed procedure.

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