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Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and
Kou-Cheng Hsu1, Wei-Yen Wang, Ping-Zong Lin
1Department of Electronic Engineering, Fu-Jen Catholic University, Hsin-Chuang 24205, Taipei, Taiwan, ROC.
Summary
This study introduces a robust sliding mode control (SMC) method for uncertain nonlinear systems. The novel approach ensures system stability and exponential convergence, even with input nonlinearities like deadzones.
Area of Science:
- Control Systems Engineering
- Nonlinear Dynamics
Background:
- Uncertain nonlinear systems present significant control challenges.
- Input nonlinearities, such as sector nonlinearities and deadzones, complicate controller design.
Purpose of the Study:
- To develop a robust control strategy for uncertain nonlinear systems with multiple inputs.
- To address the presence of sector nonlinearities and deadzones in system inputs.
Main Methods:
- Sliding Mode Control (SMC) is employed to design stabilizing controllers.
- The proposed controllers guarantee the global reaching condition of the sliding mode.
- The approach is effective for systems with or without input nonlinearities.
Main Results:
- The developed controllers ensure global exponential convergence of system trajectories to the sliding mode.
- The controllers are effective for uncertain nonlinear systems with sector nonlinearities and deadzones.
- Illustrative examples confirm the efficacy of the proposed SMC approach.
Conclusions:
- The proposed robust sliding mode control approach effectively stabilizes uncertain nonlinear systems.
- The method provides guaranteed performance in the presence of input nonlinearities.
- The controllers offer a reliable solution for complex control applications.