Nonsingular Practical Fixed-Time Adaptive Output Feedback Control of MIMO Nonlinear Systems

This article studies the nonsingular fixed-time control problem of multiple-input multiple-output (MIMO) nonlinear systems with unmeasured states for the first time. A state observer is designed to solve the problem that system states cannot be measured. Due to the existence of the unknown system no...

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Published inIEEE transaction on neural networks and learning systems Vol. 34; no. 10; pp. 7222 - 7234
Main Authors Xu, Hao, Yu, Dengxiu, Sui, Shuai, Zhao, Yin-Ping, Chen, C. L. Philip, Wang, Zhen
Format Journal Article
LanguageEnglish
Published United States IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Adding power integration technology
Algorithms
Artificial neural networks
Closed loops
Computer simulation
Control design
Control theory
Convergence
Dynamical systems
Feedback
Feedback control
fixed-time control
Mathematical models
MIMO (control systems)
MIMO communication
neural network (NN) adaptive control
Neural networks
Nonlinear control
Nonlinear dynamics
Nonlinear systems
nonsingular control
Output feedback
output feedback control
State observers
Technology
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Summary:This article studies the nonsingular fixed-time control problem of multiple-input multiple-output (MIMO) nonlinear systems with unmeasured states for the first time. A state observer is designed to solve the problem that system states cannot be measured. Due to the existence of the unknown system nonlinear dynamics, neural networks (NNs) are introduced to approximate them. Then, through the combination of adaptive backstepping recursive technology and adding power integration technology, a nonsingular fixed-time adaptive output feedback control algorithm is proposed, which introduces a filter to avoid the complicated derivation process of the virtual control function. According to the fixed-time Lyapunov stability theory, the practical fixed-time stability of the closed-loop system is proven, which means that all signals of the closed-loop system remain bounded in a fixed time under the proposed algorithm. Finally, the effectiveness of the proposed algorithm is verified by the numerical simulation and practical simulation.
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ISSN:2162-237X
2162-2388
DOI:10.1109/TNNLS.2021.3139230