Optimal fault-tolerant tracking control of systems with parameter uncertainty

For a class of linear systems which are subject to both time-varying norm-bounded parameter uncertainty and exogenous disturbance, the design method for reliable tracking controller against actuator faults is presented. A sufficient condition about reliable tracking control is obtained with the goal to track reference inputs and achieve optimal performances. D-stability pole assignment theory, H∞ control theory and robust Fault-Tolerant Control (FTC) theory are applied to guarantee the reliability of system and Linear Matrix Inequality (LMI) technique is used for the design. A simulation example is performed to illustrate the effectiveness of the proposed approach.