Browsing by Author "Wei, Q.F."
Now showing 1 - 2 of 2
Results Per Page
Sort Options
Item H∞ Control for Impulsive Disturbances: A State-Space Solution(1994) Wei, Q.F.; Dayawansa, Wijesuriya P.; Krishnaprasad, Perinkulam S.; ISRIn this paper we formulate and study an interesting (sub) optimal H∞ 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 [1,2]. 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 (sub) optimal controller, and give a procedure to compute such a controller when one exists.Item Modeling of Impact on a Flexible Beam(1993) Wei, Q.F.; Krishnaprasad, Perinkulam S.; Dayawansa, Wijesuriya P.; ISRWe consider the problem of modeling dynamical effects of impact of an elastic body on a flexible beam. We derive a nonlinear integral equation by using the Hertz law of impact in conjunction with the beam equation. This equation does not admit a closed form solution. We demonstrate the existence of solutions, derive a reliable numerical method for computing solutions, and compare the numerical results with those obtained by others.