Non‐singular terminal sliding mode controller design for nonlinear systems with prescribed convergence time guarantees

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Abstract
This paper considers the prescribed‐time non‐singular terminal sliding mode control (TSMC) for nonlinear systems with uncertainties bounded by non‐negative functions. At first, a new Lyapunov theorem for prescribed‐time stability is introduced. Then, a novel terminal sliding surface together with a non‐singular TSMC input is constructed by using a time‐varying scaling function. Strict analysis shows that the proposed controller is able to ensure the exact reaching of the sliding surface as well as the system states to zero in a prescribed time independent of the system initial conditions. Moreover, all the state signals and the control input remain uniformly bounded. Finally, simulation comparison with the existing fixed‐ and prescribed‐time TSMC is given to verify the effectiveness of the theoretical results.
Funding Information
  • National Natural Science Foundation of China (62373135, 62203221, 62173125, 62003131)
  • Natural Science Foundation of Jiangsu Province (BK20200520, BK20220943)
  • China Postdoctoral Science Foundation (2022M710682)

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