×

zbMATH — the first resource for mathematics

Robust control of uncertain systems with time-varying uncertainty: A computer-aided setting. (English) Zbl 0727.93060
Mechanics and control, Proc. 3rd Workshop Honor 65th Birthday G. Leitmann, Lect. Notes Control Inf. Sci. 151, 97-114 (1991).
Summary: [For the entire collection see Zbl 0723.00050.]
The problem of stabilizing a class of linear uncertain systems by using linear state feedback is addressed. The system possesses uncertainty which is time-varying, unknown, but lies within a prescribed bounded set. No statistical information of the uncertainty is imposed. Nor any matching condition is required. Necessary and sufficient conditions for quadratic stabilizability are formulated. The controller synthesis and stability analysis can be investigated by a two level optimization process. The result is believed to be practical (in the sense that it can be implemented for non-trivial dynamic systems) and non-conservative.

MSC:
93D15 Stabilization of systems by feedback
Keywords:
time-dependent