Session: 05-04 Fault Detection, Optimization & Uncertainty

Paper Number: 127368

127368 - Stability and Robustness Analysis and Optimization for Gain-Scheduled Control of Aero-Engines 

Gain-scheduled control has been widely applied in aerospace systems, yet there remains a lack of theoretical guidance for some key issues. One such issue relates to the determining the quantity of design points in a gain-scheduled control system to ensure stability and robustness within the range of scheduling variables. To address this issue, this study presents an optimization approach based on polytopic linear parameter-varying (LPV) systems. Initially, we characterize the gain-scheduled control system as a polytopic LPV system, with the design points of the gain-scheduled control system corresponding to the vertices of the polytopic LPV system. Subsequently, using linear matrix inequalities (LMIs) techniques, we demonstrate the stability and robustness of the polytopic LPV system with a corresponding number of vertices. By measuring the approximation between the polytopic LPV system and the gain-scheduled control system with the same number of design points, we can assess and ensure the stability and robustness of the gain-scheduled control system, thereby determining the minimum number of design points for the gain-scheduled control system. Based on ensuring system stability and robustness, this method further optimizes the number of design points in the gain-scheduled control system, achieving optimal stability margin and robust performance of gain-scheduled control systems. The effectiveness of this method was validated in a high-fidelity turbofan engine model in PROOSIS. This provides a new perspective and method to help engineers more effectively balance the relationship between stability margin, robust performance, and the number of design points when designing gain-scheduled controllers.

Presenting Author: Jincen Jiang Tsinghua University

Presenting Author Biography: Jingcen Jiang received his bachelor's degree in Flight vehicle propulsion Engineering from Northwestern Polytechnical University in 2021. He is currently pursuing a Ph.D. degree in Aerospace Science and Technology at Tsinghua University. His research interests include modeling and simulation of aero-engines, remaining useful life prediction of aero-engines, and research on robust control techniques for aero-engines.

Authors:

Jincen Jiang Tsinghua University
Jiali Yang Tsinghua University
Xiting Wang Tsinghua University
Xiao Yang Tsinghua University
Zhongzhi Hu Tsinghua University