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Robust Guaranteed Cost Control for a Class of Nonlinear 2-D Systems with Input Saturation

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  • Control Theory and Applications
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Abstract

In this paper, a robust guaranteed cost controller is designed for a class of two-dimensional(2-D) discrete-time systems described by Roesser model, where the system simultaneously contains input saturation, parametric uncertainty and sector nonlinearity. Firstly, a convex hull representation is used to describe saturated input of the system. Secondly, a sufficient condition for ensuring the asymptotic stability of the closed-loop system and the existence of the robust guaranteed cost controller is given according to the Lyapunov stability theory. Then, this sufficient condition is transformed into a linear matrix inequality form by using Schur complement lemma and the design of robust guaranteed cost controller is realized by the solution of LMI. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Henan Polytechnic University, Century Avenue 2001, Jiaozuo, 454000, China

    Xuhui Bu, Jiaqi Liang, Sen Wang & Wei Yu

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  1. Xuhui Bu
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  2. Jiaqi Liang
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  4. Wei Yu
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Correspondence to Xuhui Bu.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Guangdeng Zong under the direction of Editor Hamid Reza Karimi. This work was supported by the National Natural Science Foundation of China (Nos. 61573129, U1804147), the Innovative Scientists and Technicians Team of Henan Polytechnic University (T2019-2, T2017-1), the Innovative Scientists and Technicians Team of Henan Provincial High Education (20IRTSTHN019), and the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (CXTD2016054).

Xuhui Bu received his Bachelor’s and Master’s degrees in automation control from Henan Polytechnic University, Jiao-Zuo, China, in 2004 and 2007, respectively, and his Ph.D. degree in control thoery and application from Beijing Jiaotong University, Beijing, China, in 2011. He is currently an Associate Professor in Henan Polytechnic University, JiaoZuo, China. He has authored over 50 peer-reviewed journal papers and over 20 papers in prestigious conference proceedings. His research is mainly related to data-driven control, iterative learning control, traffic control and networked system control.

Jiaqi Liang was born in 1992. She is currently a doctor graduate student in mining control engineering, with Henan Polytechnic University, jiaozuo, China. She received her Bachelor’s degree in computer science and technology from Henan University of Science and Technology and Master’s degree in Control Science and Engineering from Henan Polytechnic University, in 2014 and 2018, respectively. Her research is mainly related to iterative learning control, mulit-agent systems control.

Sen Wang was born in 1994. He received his Bachelor’s degree in automation control from Henan Polytechnic University, Jiaozuo, China, in 2016. He is currently pursuing an Master’s degree in Control Science and Engineering with Henan Polytechnic University, Jiaozuo, China. His current research interests include two-dimensional system theory, network control systems.

Wei Yu was born in 1994, and received his B.Sc. from Henan Polytechnic University in 2018. Now he is an M.Sc. candidate in Henan Polytechnic University. The main researchdirection is model-free adaptive control.

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Bu, X., Liang, J., Wang, S. et al. Robust Guaranteed Cost Control for a Class of Nonlinear 2-D Systems with Input Saturation. Int. J. Control Autom. Syst. 18, 513–520 (2020). https://doi.org/10.1007/s12555-019-0455-0

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  • DOI: https://doi.org/10.1007/s12555-019-0455-0

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