H_∞ Fault-Tolerant Control For Singular Switched Systems

As an important type of the hybrid systems, singular switched systems have extensive applicability. When the large complex equipment is running, multiple subsystems are frequently switched in this equipment. If some sensors or actuators of subsystems in aging or failure may cause the whole system cannot work normally or even damage, resulting in huge economic losses. If the fault-tolerant control technique is introduced to the singular switched system, it can help to improve the stability and reliability of switched systems and assurance the system even under the condition of normal operation ofBase on Lyapunov stability theory of the singular system, common Lyapunov function approach, multiple Lyapunov function approach and linear matrix inequalities (LMIs) are used to study the sufficient conditions of H∞ fault-tolerant controller for linear singular switched systems with actuator failures. The main contributions of this thesis are listed as follows:(1) This thesis develops the H∞ fault-tolerant control for singular switched systems. When the actuator is failed, common Lyapunov function approach, multiple Lyapunov function approach, linear matrix inequalities and the so-called average dwell time method are used to study linear singular switched systems and uncertain singular switched systems. Based on these methods, this thesis develops the sufficient condition of H∞ fault-tolerant controller for the singular switched systems. The corresponding controllers and switching rules are designed. This thesis also ensures the H∞ norm of the transfer function matrix in a given level of attenuation in the case of actuator fault. Finally, this thesis presents computer simulation to demonstrate these methods are feasible.(2) This thesis develops the H∞ fault-tolerant control for singular switched systems with time-delay. Based on the first three methods, when the actuator is failed, this thesis develops the sufficient condition of H∞ fault-tolerant controller for singular switched systems with time-delay and uncertain singular switched systems with time-delay. The corresponding controllers and switching rules are designed. This thesis also ensures the of the transfer function matrix in a given level of attenuation in the case of actuator fault Finally, this thesis presents computer simulation to demonstrate these methods are feasible.