Consideration is given to the problem of computing a controller that is optimally robust with respect to the gap ball uncertainty of a nominal infinite-dimensional plant. A technique is outlined that allows the computation of the optimal robustness radius and the corresponding controller. This theory is applied to a first-order delay system. For this system, the optimal robustness margin is computed explicitly as the solution of a certain transcendental equation. A closed-form expression for the optimal controller is given.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the American Control Conference|
|State||Published - 1990|
|Event||Proceedings of the 1990 American Control Conference - San Diego, CA, USA|
Duration: May 23 1990 → May 25 1990