Optimal RGCC Control with H∞ norm and control input constraints

The problem of reliable guaranteed cost control (RGCC) with multiple constraints is investigated against sensor faults for a class of uncertain systems. By linear matrix inequalities (LMI) approach, the state-feedback reliable controller is developed to stabilize the closed-loop system with possible sensor faults and minimize the upper bound of a quadratic cost function. Meanwhile, the upper bounds on the amplitudes of control inputs and the given bound on H_infin norm index of disturbance rejection are also guaranteed. Thus, with the above multiple constraints, the resulting closed-loop system can provide satisfactory stability, external disturbance attenuation level and optimized quadratic cost performance despite of possible sensor faults.