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Adaptive Prescribed Performance Output Regulation of Nonlinear Systems with Nonlinear Exosystems
Fujin Jia,Cui Lei,Junwei Lu,Yuming Chu 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.8
The paper studies the prescribed performance output regulation problem for a class of nonlinear uncertain strict-feedback systems which are driven by nonlinear exosystems. Fuzzy logic systems (FLSs) are used to approximate the unknown functions. A fuzzy adaptive observer is designed to estimate the system state. A fuzzy internal model is designed to reject disturbance. Simultaneously, a parameter-type Lyapunov function and L function are designed to ensure the prescribed performance of the system. As illustrated by example, the proposed prescribed performance fuzzy adaptive output feedback control scheme is shown to guarantee semi-globally uniformly ultimately bounded, and the dynamic performance and steady-state performance of the tracking error are dependent on the prescribed performance functions.
Global Output Feedback Stabilization Control for Nonlinear Systems without Backstepping
Xiao Yan,Hongzheng Quan,Fujin Jia 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.6
In this paper, we study the global output feedback stabilization (GOFS) of nonlinear systems with unknown functions (UFs). Firstly, a lemma is introduced to solve UFs, which avoids the shortcomings of the approximate algorithms. At the same time, this lemma avoids the assumptions of UFs, thus reducing the conservatism of the algorithms. Secondly, based on Lyapunov function analysis, the controller is designed, which solves the GOFS problem of the controlled system. This control algorithm adopts nonbackstepping, so it avoids the complicated calculation of backstepping. Finally, the control algorithm is applied to the Duffing system to verify its effectiveness.