Reduced-Order Observer-Based Preassigned Finite-Time Control of Nonlinear Systems and Its Applications
研究了严格反馈非线性系统的预设有限时间控制问题，通过构造预设有限时间性能函数和降阶观测器，使系统输出在预设时间内收敛到任意小区域，且收敛时间与初始条件和设计参数无关。
In this article, a preassigned finite time control problem of nonlinear systems in strict-feedback form is investigated. From the perspective of arbitrary settling time, an appropriate preassigned finite-time performance function (PFPF) is constructed, and the preassigned finite-time stability (PAFS) is established, where the settling (convergence) time is not only completely unconcerned with initial conditions and design parameters but also more flexible. Furthermore, the backstepping technique and reduced-order observer are used to obtain the preassigned finite-time control scheme. The stability criteria of PAFS are developed to guarantee that the output can quickly converge to an arbitrarily small zone in preassigned time, and all signals of the closed-loop control system are PAFS. In the end, simulation examples verify the effectiveness of the presented method.