Affiliation:
1. Assistant Professor Department of Electrical and Electronic Engineering, Shiraz University of Technology, Modares Boulevard, P.O. Box 71555-313 Shiraz, Iran e-mail:
Abstract
This paper considers the problem of finite-time output tracking for a class of nonautonomous nonlinear fractional-order (FO) systems in the presence of model uncertainties and external disturbances. The finite-time control methods indicate better properties in terms of robustness, disturbance rejection, and settling time. Thus, design of a robust nonsingular controller for finite-time output tracking of a time-varying reference signal is considered in this paper, and a novel FO nonsingular terminal sliding mode controller (TSMC) is designed, which can conquer the uncertainties and guarantees the finite-time convergence of the system output toward the desired time-varying reference signal. For this purpose, an appropriate nonsingular terminal sliding manifold is designed, where maintaining the system's states on this manifold leads to finite-time vanishing of error signal (i.e., ensures the finite-time occurrence of both reaching and sliding phases). Moreover, by tacking the fractional derivative of the sliding manifold, the convergence of system's trajectories into the terminal sliding manifold in a finite time is proven, and the convergence time is estimated. Finally, in order to verify the theoretical results, the proposed method is applied to an FO model of a horizontal platform system (FO-HPS), and the computer simulations show the efficiency of the proposed method in finite-time output tracking.
Subject
Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering
Reference26 articles.
1. Continuous Finite-Time Stabilization of the Translational and Rotational Double Integrators;IEEE Trans. Autom. Control,1998
2. Stabilization of Uncertain Chained Form Systems Within Finite Settling Time;IEEE Trans. Autom. Control,2005
3. Polyakov, A., Efimov, D., and Perruquetti, W., 2013, “Finite-Time Stabilization Using Implicit Lyapunov Function Technique,” 9th Symposium on Nonlinear Control Systems, Toulouse, France.https://hal.inria.fr/hal-00844386/
4. An Overview of Finite-Time Stability,2006
Cited by
26 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献