Abstract
This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty. The new control algorithm is characterized by a new discrete switching surface. Although the exponential reaching law can reduce oscillation, the control effectiveness will be suppressed when the rate of change of disturbance is high. The exponential reaching law cannot force the system states to approach sliding surface sk=0. In order to solve the contradiction between guaranteeing the basic property of quasi-sliding mode and reducing oscillation, a new discrete reaching law is proposed to improve the reaching process of discrete exponent reaching laws. The proposed method not only can force system state to approach the sliding surface sk=0 in less width of the switching manifold than existing studies, but also can alleviate chattering when the system representative points are near zero point. Simulation results are provided to validate the feasibility and reasonability of the method.
Highlights
IntroductionContinuous-time variable-structure control theory and its application have been extensively studied since the early 1960s [1,2,3]
This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty
Continuous-time variable-structure control theory and its application have been extensively studied since the early 1960s [1,2,3]
Summary
Continuous-time variable-structure control theory and its application have been extensively studied since the early 1960s [1,2,3] Thanks to their computational efficiency and robustness [4, 5], this control method has been applied widely and relevant results can be found in [6,7,8,9]. It works by applying a switching controller to bring the state of the system to a predefined sliding surface in finite time. In [33], Niu et al proposed a novel reaching law for systems with
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