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Ma, Haifeng; Li, Yangmin; Xiong, Zhenhua

Design of funnel function-based discrete-time sliding mode control. (English) Zbl 1542.93246

IET Control Theory Appl. 14, No. 16, 2413-2418 (2020).
Summary: This study presents the design and analysis of a novel funnel function-based sliding mode reaching law for uncertain discrete-time systems. The presented reaching law is featured by the funnel function, which is established on the basis of the switching function, and the perturbation estimation technique. As compared with previous researches, the developed method is capable of regulating both transient and steady-state performance. The system trajectory can be maintained within a predefined boundary, i.e. the desired limit of the trajectory evolution, described by the funnel function in the presence of disturbances. Theoretical analyses confirm the convergence and boundedness of the controlled system. A practical verification example is given to demonstrate the validity of the presented method.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology

MSC:

93C55 Discrete-time control/observation systems
93B12 Variable structure systems
93C41 Control/observation systems with incomplete information

Keywords:

uncertain systems; discrete time systems; control system synthesis; variable structure systems; mode reaching law; uncertain discrete-time systems; switching function; perturbation estimation technique; system trajectory; controlled system; funnel function-based discrete-time sliding mode control design; transient performance; steady-state performance
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