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| Titel: |
Perturbations of closed-loop systems in robust feedback stabilization |
| Auteur: |
Zhu, S. Q. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 56 (1992) nr. 6 pagina's 1429-1440 |
| Jaar: |
1992 |
| Inhoud: |
The largest robust stability radius γ(P0) of a system P0 is defined as the radius of the largest ball Bmax in the gap metric centred at P0 which can be stabilized by one single controller. Any controller stabilizing Bmax is called an optimally robust controller of P0. A controller, regarded as a system, should have its own largest robust stability radius also. In this note it is first shown that the largest robust stability radius of any optimally robust controller of P0 is larger than or equal to γ(Po)- The main result of this paper is the estimate of the variations (in the L∞-norm) of the closed-loop transfer matrix caused by the perturbations of the system or of the optimally robust controller. Finally, the schemes of designing finite-dimensional controllers are presented via the largest robust stability radius. These schemes guarantee that the designed finite-dimensional controllers will stabilize the original infinite-dimensional systems. Moreover, the closed-loop transfer matrices can be estimated. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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