Adaptive neural tracking control for nonlinear switched systems with dynamic uncertainties

2018 ◽  
Author(s):  
Wanlu Zhou ◽  
Huan Li ◽  
Ben Niu
Keyword(s):  
Switched Systems ◽  
Tracking Control ◽  
Nonlinear Switched Systems ◽  
Dynamic Uncertainties

scholarly journals On Stability of Perturbed Nonlinear Switched Systems with Adaptive Reinforcement Learning

Energies ◽  
2020 ◽  
Vol 13 (19) ◽  
pp. 5069
Author(s):  
Phuong Nam Dao ◽  
Hong Quang Nguyen ◽  
Minh-Duc Ngo ◽  
Seon-Ju Ahn
Keyword(s):  
Optimal Control ◽  
Reinforcement Learning ◽  
Switched Systems ◽  
Tracking Control ◽  
Control Method ◽  
Learning Algorithm ◽  
Hjb Equation ◽  
Control Approach ◽  
Nonlinear Switched Systems ◽  
Hamilton Jacobi Bellman

In this paper, a tracking control approach is developed based on an adaptive reinforcement learning algorithm with a bounded cost function for perturbed nonlinear switched systems, which represent a useful framework for modelling these converters, such as DC–DC converter, multi-level converter, etc. An optimal control method is derived for nominal systems to solve the tracking control problem, which results in solving a Hamilton–Jacobi–Bellman (HJB) equation. It is shown that the optimal controller obtained by solving the HJB equation can stabilize the perturbed nonlinear switched systems. To develop a solution to the translated HJB equation, the proposed neural networks consider the training technique obtaining the minimization of square of Bellman residual error in critic term due to the description of Hamilton function. Theoretical analysis shows that all the closed-loop system signals are uniformly ultimately bounded (UUB) and the proposed controller converges to optimal control law. The simulation results of two situations demonstrate the effectiveness of the proposed controller.

scholarly journals Adaptive Asymptotic Tracking Control for a Class of Uncertain Switched Systems via Dynamic Surface Technique

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Xuemiao Chen ◽  
Qianjin Zhao ◽  
Chunsheng Zhang ◽  
Jian Wu
Keyword(s):  
Switched Systems ◽  
Tracking Control ◽  
Control Method ◽  
Reference Signal ◽  
Adaptive Controller ◽  
Dynamic Surface Control ◽  
Dynamic Surface ◽  
Adaptive Tracking Control ◽  
Nonlinear Switched Systems ◽  
Control Scheme

A novel adaptive tracking control scheme is proposed for a class of uncertain nonlinear switched systems with perturbations in this paper. The common Lyapunov function method is introduced to handle the switched system in the design process of the desired adaptive controller. In addition, a dynamic surface control method is proposed by employing a nonlinear filter such that the “explosion of complexity” problem existing in the conventional backstepping design can be overcome. Under the presented adaptive controller, all the closed-loop signals are semiglobally bounded, and especially the output signal of the controlled system can follow the given reference signal asymptotically. To show the availability of the presented control scheme, a simulation is given in this paper.

Sign in / Sign up

Export Citation Format

Share Document