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A model to represent multiple actuator failure cases is developed by polytopic concept.The design of passive fault-tolerant control (FTC) with considerations of both normal and actuator failure cases is investigated,depending on the availability of actuator redundancies.By introducing the parameter dependent Lyapunov and slack methods,an improved algorithm to minimize the peak-to-peak gain of the closed-loop system is proposed.Numerical simulation studies subject to all elevon outages are conducted to illustrate the effectiveness of the designed approach to passive FTC.