Abstract

L2 stability for null-controllable linear systems with bounded controls is achieved by scheduling a parameterized state feedback control law constructed from a parameterized family of solutions of an H∞-type Riccati equation. The scheduling is based on the magnitude of a virtual control signal and explicitly allows saturation and non-monotonicity (in time) of the scheduling parameter. These properties enhance convergence of the state by allowing the full utilization of the available control authority. Robustness to both a class of memoryless input uncertainties and a class of input-additive disturbances is also guaranteed. Simulation results for a case study illustrate the main features of the proposed control scheme.

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