Work

Analysis of linear‐quadratic optimal control via a hybrid control lens

Year: 2024

Type: article

Abstract: Linear‐quadratic regulator (LQR) is a landmark problem in the field of optimal control, which is investigated based on the method of hybrid dynamic system and continuous‐time optimization algorithms. We show that the above‐mentioned hybrid system converges exponentially to the optimal feedback gain with any order, and the solution trajectory is Zeno‐free. Then, the forward‐Euler method is utilized to discretize the hybrid system, and a new algorithm called hybrid dynamics‐based gradient descent (HGD) is proposed that could converge to the optimal controller exponentially.

Source: Asian Journal of Control

DOI: 10.1002/asjc.3551

Authors: Lechen Feng, Yuan‐Hua Ni

Institution: Nankai University

Language: English

Topic: Advanced Control Systems Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G7172555431