College of Science, Liaoning University of Technology, Jinzhou 121001, China.
Math Biosci Eng. 2023 Jan;20(2):2628-2650. doi: 10.3934/mbe.2023123. Epub 2022 Nov 25.
This paper develops an adaptive output feedback control for a class of functional constraint systems with unmeasurable states and unknown dead zone input. The constraint is a series of functions closely linked to state variables and time, which is not achieved in current research results and is more general in practical systems. Furthermore, a fuzzy approximator based adaptive backstepping algorithm is designed and an adaptive state observer with time-varying functional constraints (TFC) is constructed to estimate the unmeasurable states of the control system. Relying on the relevant knowledge of dead zone slopes, the issue of non-smooth dead-zone input is successfully solved. The time-varying integral barrier Lyapunov functions (iBLFs) are employed to guarantee that the states of the system remain within the constraint interval. By Lyapunov stability theory, the adopted control approach can ensure the stability of the system. Finally, the feasibility of the considered method is conformed via a simulation experiment.
本文针对一类具有不可测状态和未知死区输入的函数约束系统，提出了一种自适应输出反馈控制方法。约束条件是与状态变量和时间紧密相关的一系列函数，这在当前的研究成果中并未实现，在实际系统中更为普遍。此外，设计了一种基于模糊逼近器的自适应反推算法，并构建了一个具有时变函数约束（TFC）的自适应状态观测器，以估计控制系统的不可测状态。利用死区斜率的相关知识，成功解决了非光滑死区输入的问题。采用时变积分障碍李雅普诺夫函数（iBLF）来保证系统的状态保持在约束区间内。通过李雅普诺夫稳定性理论，所采用的控制方法可以保证系统的稳定性。最后，通过仿真实验验证了所考虑方法的可行性。
