School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, 266061, China.
School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, 266061, China; Research Institute for Mathematics and Interdisciplinary Sciences, Qingdao University of Science and Technology, 266061, China.
ISA Trans. 2023 May;136:323-333. doi: 10.1016/j.isatra.2022.10.048. Epub 2022 Nov 8.
The finite-time control of switched nonlinear systems subject to multiple objective constraints is investigated in this article. Firstly, with the aim of dealing with the major challenge brought by multiple objective constraints, the time-varying and asymmetric barrier function is designed, which transforms multiple objective constrained systems into unconstrained systems. Secondly, the dynamic surface control technique is introduced into the backstepping design process, and the error generated in the filtering process is reduced by constructing the error compensation systems. Then, an adaptive finite-time controller based on multi-dimensional Taylor network (MTN) is proposed. The controller proposed in this article can avoid the "singularity" problem and ensure that the objective functions never violate constraints. Finally, the effectiveness of the finite-time control strategy proposed in this article is verified by the aircraft system simulation.
本文研究了具有多个目标约束的切换非线性系统的有限时间控制。首先，为了应对多个目标约束带来的主要挑战，设计了时变和非对称的障碍函数，将多目标约束系统转化为无约束系统。其次，将动态面控制技术引入到反推设计过程中，并通过构建误差补偿系统来减少滤波过程中产生的误差。然后，提出了一种基于多维泰勒网络（MTN）的自适应有限时间控制器。本文提出的控制器可以避免“奇异”问题，并确保目标函数从不违反约束。最后，通过飞机系统仿真验证了本文提出的有限时间控制策略的有效性。
