ROBUST STABILIZATION OF A CLASS OF NONLINEAR TIME-VARYING UNCERTAIN SYSTEMS WITH MULTI-OPERATING POINTS

摘要

Robust stabilization problem is dealt with for nonlinear time-varying uncertain systems with multi-operating points. A new method will be proposed to design a linear time-invariant robust stabilizing controller. An artificial nominal plant is introduced and the real plant is regarded as the nominal one plus nonlinear time-varying uncertainties and unmodelled dynamics. A nominal controller is first designed for the nominal plant, then a robust compensator is designed to restrain the influence of the real plant perturbations from the nominal one. Under certain assumptions, robust stability can be achieved.