Generalized System Of Fault-tolerant Control

Modern systems are developing towards larger and more complicated scale. Vast loss of wealth and people is caused if system failures occur in this kind of control systems. It is important for people to improve reliability and safety of systems. Fault-tolerant control pioneers a new way to enhance the reliability of complicated systems. Fault-tolerant control for singular systems is not only a reasonable extension to control for normal systems but also a practical demand for singular systems, which have abundant applied backgrounds. So it is of important theoretical and practical engineering meaning to study the fault-tolerant control for singular systems.In this dissertation, a detailed analysis of the current situation of study on fault-tolerant control and a discussion about the problems of fault-tolerant for singular systems are stressed. The main results in this dissertation are as follows.l.The background related to the subject is summarized and some preparation information on LMI and MATLABLMI toolbox and lemmas used in the dissertation are given.2.For linear continuous or discrete-time singular systems, a D - admissible criterion in terms of generalized Riccati equation is established. Based on this result, a controller possessing integrality is developed by modifying the above-generalized Riccati equation.3.Based on the concept of generalized quadratic stability, the sufficient condition of robust fault-tolerant controller for uncertain singular systems is obtained by using a class of LMIs, and the analytical expression of the robust fault-tolerant controller is derived.4. By assuming the output of failure actuator to be any arbitrary energy-bounded disturbance signal, a design method of H∞ fault-tolerant feedback controller is put forward for a Class of continuous and discrete-time singular systems with uncertainties, respectively. It is shown that the proposed state feedback systems are of integrity against the actuator failures occurring among the prespecified subset of actuators.5.Our attention is focused on the problems of robust fault-tolerant H∞ control for singular systems with normal-bounded parameter uncertainty. A design method of robust fault-tolerant H∞ control for uncertain singular systems is proposed against actuator failures, and the parameter expression of the controller is given by utilizing corresponding LMIs.6. The problem of guaranteed cost fault-tolerant control design for a class of uncertain singular systems with actuator failures is discussed. First of all, a sufficient condition for the existence condition of guaranteed cost controller isderived. Furthermore, the condition for the existence of guaranteed cost fault-tolerant controller is obtained. Secondly, The proof is given that performance index is improved by the normal actuators among the prespecified subset of actuators, and the improvement degree is quantificationally described. A group of linear matrix inequalities provide a parameterized representation of guaranteed cost fault-tolerant controllers. Based on that, the optimal guaranteed cost fault-tolerant controller, which guarantees the adequate small level of the associated with quadratic cost performance index, is designed.