Abstract
Terminal sliding mode control (TSMC) was designed with introduction nonlinear function into sliding hyper-plane, which makes tracing error converge to zero in finite time. The standard TSMC (STSMC) control and non-singular TSMC (NTSMC) control was designed for an uncertain two-order nonlinear dynamic system, the sliding function and controller of STSMC control and NTSMC control are designed respectively, also the finite time of arrival was analyze. The stability was proved with Lyapunov theory, the performance comparison of STSMC and NTSMC was simulated with conclusions that STSMC control and NTSMC control are all feasible control for nonlinear system, STSMC control exist singular problem, but NTSMC control without singular problem, with sliding surface and control law with different parameters, the control characteristic can realized, which was suitable for special control system.
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