An LMI-based composite nonlinear feedback terminal sliding-mode controller design for disturbed MIMO systems

Saleh Mobayen, Vahid Johari Majd and Mahdi Sojoodi

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 85, issue C, 1-10

Abstract: This paper proposes a new nonlinear sliding surface for a terminal sliding mode (TSM) controller to achieve robustness and high performance tracking for the disturbed MIMO systems. The proposed method improves the transient performance and steady state accuracy in a finite time simultaneously. The control law is designed to guarantee the existence of the sliding mode around the nonlinear surface, and the damping ratio of the closed-loop system is increased as the output approaches the set-point. The conditions on the state error bound in finite time are expressed in the form of linear matrix inequalities (LMIs). A DC motor position tracking problem is considered as a case study. Simulation results are presented to show the effectiveness of the proposed method as a promising approach for controlling similar nonlinear systems.

Keywords: Sliding-mode control; Terminal sliding mode; Nonlinear sliding surface; Composite nonlinear feedback; Linear matrix inequality (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:85:y:2012:i:c:p:1-10

DOI: 10.1016/j.matcom.2012.09.006

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