Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (3): 571-579.doi: 10.21629/JSEE.2018.03.14

• Control Theory and Application • Previous Articles     Next Articles

Integral terminal sliding mode control for nonlinear systems

Jianguo GUO*(), Yuchao LIU(), Jun ZHOU()   

  • Received:2016-09-06 Online:2018-06-28 Published:2018-07-02
  • Contact: Jianguo GUO E-mail:guojianguo@nwpu.edu.cn;lyc-me@qq.com;zhoujun@nwpu.edu.cn
  • About author:GUO Jianguo was born in 1975. He is a Ph.D. and a professor in School of Astronautics, Northwestern Polytechnical University. In the process of scientific research work, he studied on directions: precision guidance and control technology of aircraft; modern control theory and application. E-mail: guojianguo@nwpu.edu.cn|LIU Yuchao was born in 1990. He is a Ph.D. and gets his bachelor’s degree and master’s degree in School of Astronautics, Northwestern Polytechnical University. In the process of scientific research work, he studied on directions: precision guidance and control technology of aircraft, modern control theory and application. E-mail: lyc-me@qq.com|ZHOU Jun was born in 1966. He is a Ph.D. and a professor in School of Astronautics, Northwestern Polytechnical University. In the process of scientific research work, he gradually formed three main research directions: spacecraft control and simulation technology, modern control theory and application, precision guidance and control technology. E-mail: zhoujun@nwpu.edu.cn
  • Supported by:
    the National Natural Science Foundation of China(61473226);This work was supported by the National Natural Science Foundation of China (61473226)

Abstract:

This paper proposes a fast integral terminal sliding mode (ITSM) control method for a cascaded nonlinear dynamical system with mismatched uncertainties. Firstly, an integral terminal sliding mode surface is presented, which not only avoids the singularity in the traditional terminal sliding mode, but also addresses the mismatched problems in the nonlinear control system. Secondly, a new ITSM controller with finite convergence time based on the backstepping technique is derived for a cascaded nonlinear dynamical system with mismatched uncertainties. Thirdly, the convergence time of ITSM is analyzed, whose convergence speed is faster than those of two nonsingular terminal sliding modes. Finally, simulation results are presented in order to evaluate the effectiveness of ITSM control strategies for mismatched uncertainties.

Key words: terminal sliding mode (TSM), finite-time convergence, mismatched disturbance, Lyapunov stability, nonlinear systems