Sliding mode observer based control for T-S fuzzy descriptor systems

Dongyun Wang

doi:10.3934/mfc.2021017

Article Contents

2022, Volume 5, Issue 1: 17-32. Doi: 10.3934/mfc.2021017

This issue Previous Article Convergence of derivative of Szász type operators involving Charlier polynomials Next Article Sharp upper bounds on the maximum $M$-eigenvalue of fourth-order partially symmetric nonnegative tensors

Sliding mode observer based control for T-S fuzzy descriptor systems

Dongyun Wang^1,2, ,

1.
Qinhuangdao Vocational and Technical College, Qinhuangdao, Hebei, 066100, China
2.
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066100, China

^*Corresponding author: Dongyun Wang
^*Corresponding author: Dongyun Wang

Received: May 31, 2021

Revised: July 31, 2021

Early access: September 2021

Published: February 2022

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Abstract

In this paper, the problem of sliding mode observer (SMO) based sliding mode control (SMC) for nonlinear descriptor delay systems is studied. First, based on the T-S fuzzy dynamic modeling technique, the nonlinear descriptor system is transformed into a combination of local linear models. Then, a integral-type sliding surface (ITSS) based SMO is constructed for the error system. In the sequel, sufficient linear matrix inequality (LMI) conditions are established to ensure the admissibility of the sliding motions and obtain the observer gain matrix. Furthermore, two novel SMC laws are developed to ensure the reachability conditions and stabilize the descriptor systems. Finally, simulations are provided to show the effectiveness of the method.

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Figure 1. Trajectories of the open-loop system

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Figure 2. Trajectories of the open-loop system

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Figure 3. Trajectories of the error system

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Figure 4. Trajectories of the closed-loop system

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Figure 5. Sliding surfaces

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