Robust reliable H∞ control based on observer for uncertain systems against sensors failures

This paper presents a new method based on the algebraic Riccati equation for designing robust reliable H_infin control laws for plants with structured uncertainty. The design method consists of incorporating information on the plant uncertainty into the algebraic Riccati equations(ARE) used for nominal H_infin disturbance-rejection designs. The development of the reliable H_infin controllers assumes that the sensor failures can be detected and the observer dynamics accordingly adjusted. For all admissible structure uncertainties, the designs provide a robust reliable controller, provided one exists, and the resulting control systems retain stability and disturbance rejection with robust H_infin-norm bounds despite any outages within a prespecified subset of sensors.