2026 Vol.9 Aug.N04

• Title: A Method for Optimizing the Performance of Linear Quadratic Regulators Based on the Solution of the Algebraic Riccati Equation
• Name: Wenbin Wan
• Company: East China University of Technology,Fuzhou,344000,China
• Abstract:

  Most performance optimization methods for linear quadratic regulators rely on manual, experience-based tuning of the weight matrix. Since these methods do not incorporate adaptive adjustments to meet quadratic regulation requirements, the quality of the optimization is often suboptimal. To address this, we propose a performance optimization method for linear quadratic regulators based on the solution of the algebraic Riccati equation. For industrial continuous linear controlled systems, we construct a refined state-space model tailored to the iterative operation of the algebraic Riccati equation .By defining the mapping relationship between the system’s state evolution and its output, while preserving the system’s intrinsic dynamic characteristics and control input drive characteristics, the core matrix parameters of the system are obtained. A quadratic regulator performance constraint is introduced to construct an improved algebraic Riccati equation, and matrix operations are performed in conjunction with operating condition-adaptive configuration rules for the state weight matrix and control weight matrix.The closed-loop control law of the linear quadratic regulator is reconstructed, and an optimal matrix parameter correction mechanism is matched to achieve performance optimization of the linear quadratic regulator. In the experiments, the proposed method was tested for optimization quality. The test comparison results clearly show that when the proposed method is used for regulator performance optimization, the closed-loop damping ratio can be maintained in the high range of 0.88–0.90, demonstrating relatively ideal optimization results.

• Keyword: Algebraic Riccati equation; Linear quadratic regulator; Performance optimization; Optimization quality;
• DOI: 10.12250/jpciams2026090803
• Citation form: Wenbin Wan.A Method for Optimizing the Performance of Linear Quadratic Regulators Based on the Solution of the Algebraic Riccati Equation[J]. Computer Informatization and Mechanical System,2026,Vol.9,pp.

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