Work

Nonfragile H∞ Static Output Feedback Control for Time-Delay Systems

Year: 2025

Type: article

Abstract: This study addresses the nonfragile static output feedback control problem in time-delay systems and introduces anH∞control strategy developed through the Chebyshev spectral continuous time approximation (CHsCTA). First, the time-delay system is transformed into a delay-free representation using the CHsCTA method. Subsequently, a control scheme is designed for this reformulated system, which leads to the derivation of bilinear matrix inequalities (BMIs) that determine the controller parameters. The proposed post-transformation design strategy significantly simplifies the control synthesis process. Finally, an iterative algorithm based on the Cone Complementarity Linearization (CCL) technique is developed to calculate the minimalH∞performance index and feedback gain matrix, thereby ensuring robust stability and disturbance rejection capability in the closed-loop system. Numerical simulations conducted on a liquid rocket engine propulsion system confirm the effectiveness of the proposed approach. Compared with conventional Lyapunov-Krasovskii functional-based techniques, the proposed method achieves a lowerH∞performance index.

Source: IEEE Access

DOI: 10.1109/access.2025.3626381

Authors: Zhiqiang Yu, Yuanguang Zheng

Institutions: Nanchang Hangkong University, Shanghai Dianji University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,075

Funder: National Natural Science Foundation of China