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: | Sreeram V. |
Keywords: | optimization |
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.