Best achievable performance: non-switching compensation for multiple models
✍ Scribed by Dennis D. Sourlas; Vasilios Manousiouthakis
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 239 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1049-8923
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✦ Synopsis
This paper presents a solution to the best achievable performance problem for a family of process models that are simultaneously stabilized by a non-switching LTI compensator. Speci"cally, a method is presented that can quantify the best dynamic performance achievable by a dynamic feedback compensator, for a "nite family of process models. Closed-loop dynamic performance is quanti"ed through a new performance measure that guarantees performance with respect to all allowable disturbances and allows for closed-loop response shaping with respect to "xed disturbances. The simultaneous performance problem is then formulated as a quadratically constrained minimax optimization problem that is non-di!erentiable and in"nite dimensional. It is shown that the simultaneous performance problem can be solved through the iterative solution of appropriately constructed "nite-dimensional nonlinear programming problems. A method that identi"es -globally optimal solutions to this type of problems is presented. Finally, the proposed approach is demonstrated through an illustrative numerical example problem.