Internal model principle and robust control of nonlinear systems

2002 ◽  
Author(s):  
Jie Huang ◽  
Ching-Fang Lin
Keyword(s):  
Robust Control ◽  
Nonlinear Systems ◽  
Internal Model ◽  
Internal Model Principle

K-Fold Exosystem and the Robust Nonlinear Servomechanism Problem

1998 ◽  
Vol 120 (1) ◽  
pp. 149-153 ◽  
Author(s):  
Jie Huang
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Disturbance Rejection ◽  
Internal Model ◽  
Output Feedback Control ◽  
Uncertain Nonlinear Systems ◽  
Internal Model Principle ◽  
Asymptotic Tracking

Asymptotic tracking and disturbance rejection in uncertain nonlinear systems is studied in the context of output feedback control. This study is facilitated by formalizing the notion of k-fold exosystem and generalizing the internal model principle to the nonlinear setting.

scholarly journals Adaptive Optimal Robust Control for Uncertain Nonlinear Systems Using Neural Network Approximation in Policy Iteration

2021 ◽  
Vol 11 (5) ◽  
pp. 2312
Author(s):  
Dengguo Xu ◽  
Qinglin Wang ◽  
Yuan Li
Keyword(s):  
Neural Network ◽  
Optimal Control ◽  
Robust Control ◽  
Nonlinear Systems ◽  
Policy Iteration ◽  
Control Law ◽  
Globally Asymptotically Stable ◽  
Control Approach ◽  
Input Uncertainties ◽  
Theoretical Results

In this study, based on the policy iteration (PI) in reinforcement learning (RL), an optimal adaptive control approach is established to solve robust control problems of nonlinear systems with internal and input uncertainties. First, the robust control is converted into solving an optimal control containing a nominal or auxiliary system with a predefined performance index. It is demonstrated that the optimal control law enables the considered system globally asymptotically stable for all admissible uncertainties. Second, based on the Bellman optimality principle, the online PI algorithms are proposed to calculate robust controllers for the matched and the mismatched uncertain systems. The approximate structure of the robust control law is obtained by approximating the optimal cost function with neural network in PI algorithms. Finally, in order to illustrate the availability of the proposed algorithm and theoretical results, some numerical examples are provided.

scholarly journals A pedagogical path from the internal model principle to Youla-Kučera parametrization

2020 ◽  
Vol 53 (2) ◽  
pp. 17374-17379
Author(s):  
Erik Hedberg ◽  
Johan Löfberg ◽  
Anders Helmersson
Keyword(s):  
Internal Model ◽  
Internal Model Principle
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