✦ LIBER ✦
Gradient flow approach to LQ cost improvement for simultaneous stabilization problem
✍ Scribed by V. Sreeram; W.-Q. Liu; K. L. Teo; W.-Y. Yan
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 382 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0143-2087
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✦ Synopsis
In this paper we consider LQ cost optimization for the simultaneous stabilization problem. The objective is to find a single simultaneously stabilizing feedback gain mamx 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.