H (infinity) Control for Impulsive Disturbances: A State-Space Solution
MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
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In this paper we formulate and study an interesting suboptimal Hat infinity control problem related to the attenuation of impulsive disturbances to a class of linear systems. Among the motivating factors is the need to study control problems related to mechanical systems subject to impulsive forces, e.g. active control of the suspension system of a vehicle, accurate pointing of guns, stabilization of an antenna on the space station subject to impact from space debris, or active damping of vibrations of flexible structures caused by impact forces. A reasonable control objective in all these problems is to design a stabilizing controller to minimize the induced operator norm from the impulsive disturbances to the controlled outputs. We derive necessary and sufficient conditions for the existence of a suboptimal controller, and give a procedure to compute such a controller when one exists.
- Operations Research