Method for evaluating stability bounds for discrete-time singularly perturbed systems
| Autor: | Rahul Ghosh, K.B. Datta, Suvrajeet Sen |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Singular perturbation
Computational complexity theory Direct method Upper and lower bounds Stability (probability) Discrete system Quadratic equation Discrete time and continuous time Control and Systems Engineering Control theory Applied mathematics Electrical and Electronic Engineering Instrumentation Mathematics |
| Zdroj: | IEE Proceedings - Control Theory and Applications. 146:227-233 |
| ISSN: | 1359-7035 1350-2379 |
| Popis: | The problem of evaluating the stability bounds of discrete-time singularly perturbed systems is considered. A direct method using critical stability criteria has been developed to obtain the exact upper bound /spl epsi//sub 0/ of the singular perturbation parameter /spl epsi/ for which the overall system will remain stable /spl forall//spl epsi//spl isin/[0, /spl epsi//sub 0/). The concept of the block bialternate product is utilised to substantially reduce the order of the matrices to be dealt with. It appears that the proposed method is more efficient than that suggested by Li and Li (1992), which makes use of the generalised Nyquist plot. It also completely removes the computational complexity associated with the quadratic dependence on the system matrix A(/spl epsi/) as encountered by Tesi and Vicino (1990). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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