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]

Read more

Summary

Introduction

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

Objectives
Methods
Conclusion
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call