An Eigenstructure Assignment Approach to Control Reconfiguration

I. K. Konstantopoulos and P. J. Antsaklis

Proceedings of the 4th IEEE Mediterranean Symposium on Control and Automation, pp. 328-333, Chania, Crete, Greece, June 10-14, 1996.

Abstract -- An optimization approach to control reconfiguration, based on eigenstructure assignment, for control systems with output feedback is presented. The proposed scheme preserves the max(r, q) most dominant eigenvalues of the nominal closed-loop system and determines their associated closed-loop eigenvectors as close to the corresponding eigenvectors of the nominal closed-loop system as possible. Additionally, the stability of the remaining closed-loop eigenvalues is guaranteed by the satisfaction of an appropriate Lyapunov equation. The overall design is robust with respect to uncertainties in the state-space matrices of the reconfigured system. The approach is applied to an aircraft control example, where it is shown to recover the shape of the transient response.

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