Adaptive Optimal Discrete-Time Output-Feedback Using an Internal Model Principle and Adaptive Dynamic Programming

In order to address the output feedback issue for linear discrete-time systems, this work suggests a brand-new adaptive dynamic programming (ADP) technique based on the internal model principle (IMP). The proposed method, termed as IMP-ADP, does not require complete state feedback-merely the measure...

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Bibliographic Details
Published in:IEEE/CAA journal of automatica sinica 2024-01, Vol.11 (1), p.131-140
Main Authors: Wang, Zhongyang, Wang, Youqing, Kowalczuk, Zdzislaw
Format: Article
Language:English
Subjects:
Adaptation models
Adaptive dynamic programming (ADP)
Control methods
Discrete time systems
Dynamic programming
Dynamical systems
Heuristic algorithms
Internal model principle
internal model principle (IMP)
Inverters
Iterative algorithms
Iterative methods
Mathematical models
Observers
Output feedback
output feedback problem
policy iteration (PI)
Regulators
State feedback
System dynamics
value iteration (VI)
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Summary:In order to address the output feedback issue for linear discrete-time systems, this work suggests a brand-new adaptive dynamic programming (ADP) technique based on the internal model principle (IMP). The proposed method, termed as IMP-ADP, does not require complete state feedback-merely the measurement of input and output data. More specifically, based on the IMP, the output control problem can first be converted into a stabilization problem. We then design an observer to reproduce the full state of the system by measuring the inputs and outputs. Moreover, this technique includes both a policy iteration algorithm and a value iteration algorithm to determine the optimal feedback gain without using a dynamic system model. It is important that with this concept one does not need to solve the regulator equation. Finally, this control method was tested on an inverter system of grid-connected LCLs to demonstrate that the proposed method provides the desired performance in terms of both tracking and disturbance rejection.
ISSN:2329-9266
2329-9274
DOI:10.1109/JAS.2023.123759