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Barrier Lyapunov Functions-based Output Feedback Control for a Class of Nonlinear Cascade Systems With Time-varying Output Constraints

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  • Control Theory and Applications
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Abstract

In this study, a class of nonlinear systems with integral input to state stability (iISS) inverse dynamics and unknown control direction are examined for the issue of time-varying asymmetric output constraints of adaptive output feedback controller. To deal with unmeasured state variables and unknown directions, the state observer is constructed using a Rickati matrix differential equation with time variation. A backstepping-based method is recommended for establishing the dynamic output feedback control law. By ensuring boundedness for the time-dependent barrier Lyapunov function (BLF) in the closed loop, we may not only maintain the boundedness and stability of other signals, but also avoid breaking the time-varying asymmetric constraint of the output. Finally, simulation analyses are used to confirm the scheme’s efficacy.

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Authors and Affiliations

  1. School of Engineering, Qufu Normal University, Rizhao, China

    Jing Yang, Jie Zhang, Zhongcai Zhang & Yuqiang Wu

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  1. Jing Yang
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Correspondence to Yuqiang Wu.

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Jing Yang received her B.S. degree in electrical engineering and automation, in 2020, from Qufu Normal University, Rizhao, China, where she is currently pursuing a Ph.D. degree with the School of Engineering. Her research interests include nonholonomic system control and nonlinear system control.

Jie Zhang received her M.S. degree in operations research and cybernetics from Qufu Normal University, Rizhao, China, in 2023, and currently pursuing a Ph.D. degree in control science and engineering from Northeastern University. Her research interests include nonlinear system control, digital twins, and optimization compensation method.

Zhongcai Zhang received his M.S. degree in operations research and cybernetics from Qufu Normal University, Qufu, China, in 2013, and a Ph.D. degree in control science and engineering from Southeast University, Nanjing, China, in 2016. He is currently an Associate Professor with the School of Engineering, Qufu Normal University, Rizhao, China. His current research interests include nonlinear system control, nonholonomic system control, underactuated system control, adaptive theory, and robot applications.

Yuqiang Wu received his M.S. degree in automatic engineering from Qufu Normal University, Qufu, China, in 1988, and a Ph.D. degree in control science and engineering from Southeast University, Nanjing, China, in 1994. He is currently a Professor with the School of Engineering, Qufu Normal University, Rizhao, China. His current research interests include variable structure control, switching control, nonlinear system control, stochastic systems, and process control.

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Yang, J., Zhang, J., Zhang, Z. et al. Barrier Lyapunov Functions-based Output Feedback Control for a Class of Nonlinear Cascade Systems With Time-varying Output Constraints. Int. J. Control Autom. Syst. 22, 517–526 (2024). https://doi.org/10.1007/s12555-022-0955-1

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