Linear Systems
Mathematics and Computers in Simulation
International Journal of Systems Science
Reliable guaranteed cost sampling control for nonlinear time-delay systems
Mathematics and Computers in Simulation
Technical communique: Terminal sliding mode observers for a class of nonlinear systems
Automatica (Journal of IFAC)
Sliding mode control: A survey with applications in math
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation
LMI-based stability analysis of impulsive high-order Hopfield-type neural networks
Mathematics and Computers in Simulation
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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.