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Decentralized Adaptive Control of Interconnected Nonlinear Systems with Unknown Control Directions and Actuator Failure

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  • Control Theory and Applications
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Abstract

In this paper, we propose a decentralized adaptive control scheme for a class of interconnected nonlinear systems without a priori knowledge of subsystems’ control directions and unknown actuator failure. To address this problem, a novel Nussbaum-type function is proposed and a key theorem is drawn which involves quantifying the interconnections of multiple Nussbaum-type functions of the subsystems with different control directions in a single inequality. The effect of actuator failures is successfully compensated. Global stability of the closed-loop system and asymptotic stabilization of subsystems’ output are proved and a simulation example is given to illustrate the effectiveness of the proposed control scheme.

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Authors and Affiliations

  1. Chongqing Institute of Engineering, South hot spring, Ba Nan District, Chongqing, 400056, China

    Guiju Xu

  2. School of Automation, Chongqing University, 400044, Chongqing, China

    Jiangshuai Huang & Xiaojie Su

Authors
  1. Guiju Xu
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  2. Jiangshuai Huang
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  3. Xiaojie Su
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Corresponding author

Correspondence to Jiangshuai Huang.

Additional information

Recommended by Associate Editor Hyo-Sung Ahn under the direction of Editor PooGyeon Park.

Guiju Xu received the Bachelor of Engineering in communication and electronic engineering from Harbin Institute of Technology, China in 1998. From 1998 to 2015, he worked in Chongqing Communications College. He is a lecturer with the school of electronic information, Chongqing Institute of Engineering. He has published more than 10 research papers. His research interest includes adaptive control, phased array antenna, system performance analysis and information processing.

Jiangshuai Huang received his B.Eng and M.Sc. degrees in School of Automation from Huazhong University of Science & Technology, Wuhan, China in July 2007 and August 2009 respectively, and his Ph.D. from Nanyang Technological University in 2015. He was a Research Fellow in the Department of Electricity and Computer Engineering, National University of Singapore from August 2014 to September 2016. He is currently with the School of Automation, Chongqing University, Chongqing, China. His research interests include adaptive control, nonlinear systems control, underactuated mechanical system control and multi-agent system control.

Xiaojie Su received his B.S. degree in Automation from Jiamusi University, China in 2008; an M.E. degree in Control Theory and Control Engineering from Harbin Institute of Technology, China in 2010; and a Ph.D. degree in Control Theory and Control Engineering from Harbin Institute of Technology, China in 2013. He is currently a professor with the College of Automation, Chongqing University, Chongqing, China. His current research interests include fuzzy systems, optimal filtering, optimal controller design, and model reduction.

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Xu, G., Huang, J. & Su, X. Decentralized Adaptive Control of Interconnected Nonlinear Systems with Unknown Control Directions and Actuator Failure. Int. J. Control Autom. Syst. 17, 29–37 (2019). https://doi.org/10.1007/s12555-017-0787-6

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  • DOI: https://doi.org/10.1007/s12555-017-0787-6

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