This paper studies the terminal sliding mode control (TSMC) issue considering the fault-tolerant design. In the proposed scheme, TSMC can keep the merits of conventional sliding mode control (SMC), including robustness to uncertainties and/or disturbances, fast response, and easy implementation. Moreover, by using TSMC, the system states of TSMC will converge in finite time to the control objective point, i.e., equivalent point, after the systems states intersect the sliding surface. Simulation results show the advantages of the proposed method. I. INTRODUCTIONRecently, the issue concerning fault-tolerant control (FTC) design has attracted much attention (e.g., see [1]-[24]). Its main concept is to develop a proper control law such that the stability can be maintained when the system is in normal and/or abnormal operation. In general, the fault detection and diagnosis (FDD) scheme (e.g., see [4], [24], [26]-[28]) is accompanied with the FTC to detect fault and thus the FTC mission can be started and achieved. The recent novel theories and applications concerning FTC and FDD can be referred to [1]-[29] and the references therein. On the other hand, sliding mode control (SMC) [1], [13]-[14], [29]-[37] is a class of powerful control scheme in research area of nonlinear control systems. On the subject in terms of the improvement SMC, Zak [38]-[40] first proposed the concept of the terminal sliding mode control and then it was studied by many researchers (see, e.g., [38]-[55]). It was manly developed to achieve finite-time convergence of system dynamics on the nonlinear sliding surface. By suitably designing the parameter matrices of the TSMC, the system states can reach the control objective point on the sliding surface in a finite amount of time and then the closed-loop system will be infinitely stable. Therefore, TSMC not only has the advantages of rapid response and robustness but also owns the benefit of finite-time convergence.The organization of this paper is as follows. Section II describes the problem formulation and main goal of this paper. Section III states the design of terminal-sliding-mode FTC
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