In this paper, the problem of adaptive fuzzy proportional integral (PI) output feedback control is addressed for nonstrict-feedback switched nonlinear systems. An adaptive output feedback control scheme is developed, in which the virtual control laws and the final controller are bounded. The bounds are known in advance, and they can be ascertained using the feedback control gains. The first step is to construct a state observer that can estimate the unmeasurable states. The second step is to design an adaptive fuzzy PI output feedback bounded controller by using backstepping method and fuzzy logic systems technique. To guarantee the virtual control laws and a final controller with a specific range, hyperbolic tangent functions and projection operator are introduced. Subsequently, the boundedness of all signals of the closed-loop system is proven via the average dwell time method and Lyapunov stability theory. Simulation results are employed to verify the effectiveness of the developed scheme.

中文翻译：

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一类具有输入约束的非线性切换系统的自适应模糊PI输出反馈有界控制

在本文中，针对非严格反馈切换非线性系统解决了自适应模糊比例积分 (PI) 输出反馈控制问题。开发了一种自适应输出反馈控制方案，其中虚拟控制律和最终控制器是有界的。边界是预先知道的，并且可以使用反馈控制增益来确定。第一步是构造一个可以估计不可测量状态的状态观察器。第二步是利用反步法和模糊逻辑系统技术设计自适应模糊PI输出反馈有界控制器。为了保证虚拟控制律和具有特定范围的最终控制器，引入了双曲正切函数和投影算子。随后，通过平均驻留时间法和李雅普诺夫稳定性理论证明了闭环系统所有信号的有界性。仿真结果被用来验证所开发方案的有效性。