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Observer-based Fixed-time Fuzzy Adaptive Output Feedback Tracking Control for a Class of Nonlinear Systems

  • Control Theory and Applications
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Abstract

This paper is concerned with the fixed-time tracking control problem for a class of uncertain strict-feedback nonlinear systems with external disturbances and unmeasured states. The fuzzy state observer and fuzzy logic systems (FLSs) are adopted to estimate the unmeasurable states and approximate the unknown nonlinear functions, respectively. To improve the performance of the system, we attempt to introduce a disturbance observer into the design of the controller. A first-order filter is applied to avoid the computational complexity problem in the backstepping scheme. Subsequently, the fixed-time stability of the closed-loop system is guaranteed in the light of the Lyapunov stability theory, and the tracking error can converge to an adjustable domain under the proposed control method. Compared with the existing finite-time control strategy, the settling time of the presented fixed-time control scheme is unrelated to the initial conditions of the system. Finally, two simulation experiments are given to illustrate the effectiveness of the developed control approach.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Mathematics, Fujian University of Technology, Fuzhou, 350118, China

    Yujing Shi & Shanqiang Li

  2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, 150080, China

    Yujing Shi & Chen Wang

Authors
  1. Yujing Shi
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  2. Chen Wang
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  3. Shanqiang Li
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Corresponding author

Correspondence to Yujing Shi.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12071102 and 12171124).

Yujing Shi received her Ph.D. degree in control science and engineering from Northeastern University, Shenyang, China in 2009. She is currently an associate professor with the Fujian University of Technology, Fuzhou, China. Her research interests include control of nonlinear systems and synchronization control of complex networks.

Chen Wang received her B.S. degree in mathematics and applied mathematics from Shanxi Datong University, Datong, China, in 2019. She is currently working toward an M.Sc. degree in operational research and cybernetics from the Department of Mathematics, Harbin University of Science and Technology, Harbin, China. Her current research interests include nonlinear control, adaptive control, and fixed-time control.

Shanqiang Li received his Ph.D. degree in systems engineering in 2019 from Harbin Engineering University, Harbin, China. He is currently an associate professor Fujian University of Technology, Fuzhou, China. His research interests include model predictive control and its applications.

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Shi, Y., Wang, C. & Li, S. Observer-based Fixed-time Fuzzy Adaptive Output Feedback Tracking Control for a Class of Nonlinear Systems. Int. J. Control Autom. Syst. 20, 2569–2582 (2022). https://doi.org/10.1007/s12555-021-0581-3

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