Summary: Dynamics and Control, 9, 255270 (1999)
c 1999 Kluwer Academic Publishers, Boston. Manufactured in The Netherlands.
An Optimization Approach to
IOANNIS K. KONSTANTOPOULOS firstname.lastname@example.org
Control Systems Research, Department of Engineering, University of Leicester, Leicester, LE1 7RH, U.K.
PANOS J. ANTSAKLIS email@example.com
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, U.S.A.
Received December 29, 1997; Accepted March 30, 1999
Abstract. An optimization algorithm for the problem of control reconfiguration in response to operating condition
changes or abrupt system component failures is presented here. The algorithm utilizes a version of the Broyden-
Fletcher-Goldfarb-Shanno (BFGS) optimization method of conjugate directions. The algorithm provides an output
feedback controller that not only stabilizes the new/impaired system, when possible, but also preserves much of
the dynamics of the original/unfailed system. The design is such that the closed-loop system is robust with respect
to inevitable uncertainties/modelling errors on the state-space matrices of the impaired system. The algorithm is
applied to an aircraft longitudinal control system, for which two severe cases of failure are considered, first the
loss of an actuator and then the loss of a sensor in addition to the actuator loss.
Keywords: Reconfigurable control, optimization, stability robustness, component failures
1. Motivation-Previous Work
Reconfigurable control systems are control systems that are characterized by the ability