Event-triggered optimal control of discrete-time nonlinear system with external disturbance

This article studies the event-triggered optimal control of discrete-time nonlinear system subject to external disturbance. To optimize the performance of nonlinear system, we define a nonlinear quadratic value function and then establish the corresponding Hamilton-Jocabl (HJ) equation. Based on the...

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Bibliographic Details
Published in:Chinese Control Conference pp. 345 - 350
Main Authors: Zou, Biao, Zhao, Wei, Zhang, Huaipin
Format: Conference Proceeding
Language:English
Published: Technical Committee on Control Theory, Chinese Association of Automation 25.07.2022
Subjects:
Event-triggered control
HJ equation
Mathematical models
Neural Network(NN)
Neural networks
Nonlinear systems
Optimal control
Quantization (signal)
Simulation
Stability analysis
ISSN:1934-1768
Online Access:Get full text
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Summary:This article studies the event-triggered optimal control of discrete-time nonlinear system subject to external disturbance. To optimize the performance of nonlinear system, we define a nonlinear quadratic value function and then establish the corresponding Hamilton-Jocabl (HJ) equation. Based on the Bellman optimization principle, we design the optimal control policy and the worst disturbance policy from the HJ equation. In order to reduce the update frequency of the control policy and the disturbance policy, we introduce an event-triggered updating mechanism. Subsequently, an event-triggered condition is designed and the stability of the system is proved using the Lyapunov method. The neural network structure is developed to approximate the optimal value function, the optimal control policy and the worst disturbance policy, respectively. Finally, simulation result demonstrates the feasibility of the proposed method.
ISSN:1934-1768
DOI:10.23919/CCC55666.2022.9902629