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In this paper, a new sliding mode control algorithm for the second-order dynamic system is designed. The algorithm employs a nonlinear and time-varying switching line. At the initial time t=t0, the line naturally consists of these points in the error state space which represent all the admissible initial conditions of the system. Afterwards, the line moves smoothly to reach its ultimate shape and location in the error state space. The line moves in such a way that a good trade-off between the minimisation of the integral of the absolute value of the system error over the whole period of the control actin and maintaining reasonable values of the error derivative is achieved. By this means, the reaching phase is eliminated, insensitivity of the system to the external disturbance is guaranteed from the very beginning of the proposed control action and fast, monotonic, and finite time error convergence to zero is achieved.
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Tom
Strony
61--69
Opis fizyczny
Bibliogr. 10 poz., rys.
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autor
- Technical University of Łódź, Institute of Automatic Control, ul. Stefanowskiego 18/22, 90-924 Łódź, Poland.
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Bibliografia
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bwmeta1.element.baztech-article-BPW1-0001-0080