MASSACHUSETTS INST OF TECH CAMBRIDGE ELECTRONIC SYSTEMS LAB
This report contains a method of approach and theoretical framework which advances the state of the art in the design of reliable multivariable control systems, with special emphasis on actuator failures and necessary actuator redundancy levels. The mathematical model consists of a linear time invariant discrete time dynamical system. Configuration changes in the system dynamics, such as actuator failures, repairs, introduction of a back up actuator are governed by a Markov chain that includes transition probabilities from one configuration state to another. The performance index is a standard quadratic cost functional, over an infinite time interval.