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This paper investigates the robust stability of an asymptotic second-order sliding mode (2nd-SM) control system, where a first-order sliding mode (1st-SM) control law is implemented to realize an asymptotic 2nd-SM control for a linear time-invariant continuous-time system with a relative degree of two. It is found in the paper that a 2nd-SM can be reached locally and asymptotically by a 1st-SM control...
In this paper a fuzzy sliding mode control (FSMC) for spacecraft attitude tracking in terms of quaternion is designed. For this purpose, at first, the spacecraft dynamic and kinematic equations based on quaternion are described. Then, the design procedure of related variable structure controller is presented. To prove the system stability in sliding mode and also to guarantee the convergence of quaternion...
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