Stabilization of Nonlinear Vibration of a Fractional-Order Arch MEMS Resonator Using a New Disturbance-Observer-Based Finite-Time Sliding Mode Control

被引:12
作者
Alsubaie, Hajid [1 ]
Yousefpour, Amin [2 ]
Alotaibi, Ahmed [1 ]
Alotaibi, Naif D. [3 ]
Jahanshahi, Hadi [4 ]
机构
[1] Taif Univ, Coll Engn, Dept Mech Engn, Taif 21944, Saudi Arabia
[2] Univ Calif Irvine, Dept Mech & Aerosp Engn, Irvine, CA 92697 USA
[3] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Commun Syst & Networks Res Grp, Jeddah 21589, Saudi Arabia
[4] Univ Manitoba, Dept Mech Engn, Winnipeg, MB R3T 5V6, Canada
关键词
fractional calculus; MEMS resonator; arch beam; chaos; finite-time disturbance observer; terminal sliding mode control; MICROELECTROMECHANICAL SYSTEMS MEMS; CHAOS;
D O I
10.3390/math11040978
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with chaos control in an arch microelectromechanical system (MEMS) from the fractional calculus perspective. There is a growing need for effective controllers in various technological fields, and it is important to consider disruptions, uncertainties, and control input limitations when designing a practical controller. To address this problem, we propose a novel disturbance-observer-based terminal sliding mode control technique for stabilizing and controlling chaos in a fractional-order arch MEMS resonator. The design of this technique takes into account uncertainty, disturbances, and control input saturation in the fractional-order system. The proposed control technique is practical for real-world applications because it includes control input saturation. The equation for a fractional-order arch MEMS resonator is presented, and its nonlinear vibration and chaotic behavior are studied. The design process for the proposed control technique is then described. The Lyapunov stability theorem is used to prove the finite-time convergence of the proposed controller and disturbance observer. The proposed controller is applied to the arch MEMS resonator, and numerical simulations are used to demonstrate its effectiveness and robustness for uncertain nonlinear systems. The results of these simulations clearly show the effectiveness of the proposed control technique.
引用
收藏
页数:14
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