Optimizing the guaranteed cost in the control of uncertain linear systems. (English) Zbl 0780.93043
Robustness of dynamic systems with parameter uncertainties, Proc. 2nd Workshop, Ascona/Switz. 1992, 241-250 (1992).
[For the entire collection see Zbl 0752.00060.]
The Riccati equation approach is extended to the problem of quadratically stabilizing open loop uncertain linear systems. An upper bound on the value of the quadratic cost function is seen to be the best achievable for a large class of control laws. Uncertainty in the input matrix is investigated.
The Riccati equation approach is extended to the problem of quadratically stabilizing open loop uncertain linear systems. An upper bound on the value of the quadratic cost function is seen to be the best achievable for a large class of control laws. Uncertainty in the input matrix is investigated.
Reviewer: P.Loridan (Rantigny)
MSC:
| 93C05 | Linear systems in control theory |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
