In this paper, the control problem for a class of second‐order sliding mode (SOSM) systems with a nonvanishing mismatched disturbance is investigated via a composite SOSM hybrid control manner. The composite SOSM hybrid control is proposed by utilizing a fixed‐time disturbance observer (DOB) and a fixed‐time composite SOSM controller. The fixed‐time DOB is firstly developed to estimate mismatched disturbances. Secondly, by using adding a power integrator technique, the fixed‐time composite SOSM controller can be designed step by step. Based on the hybrid strategy, the proposed controller can switch from a finite‐time SOSM controller to a fixed‐time SOSM controller. The former finite‐time controller is proposed to avoid finite‐time escape problem for the controlled system within the setting time of the proposed fixed‐time DOB. The latter fixed‐time controller can drive system states to zero within a fixed time whose setting time is free of initial values. The novelty of the developed control methodology is that it cannot only avoid the finite‐time escape problem but also provide fixed‐time stability for the controlled system. Moreover, strict Lyapunov analysis is provided to show that the controlled system under the fixed‐time DOB and the fixed‐time composite SOSM controller is fixed‐time stable. Finally, the validity of the proposed control methodology is verified by an academic example.
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