Gain-Scheduling Controller Synthesis for Nested Systems With Full Block Scalings

• 成果类型: Article
• 署名作者: Rosinger, Christian A.; Scherer, Carsten W.
• 署名单位: University of Stuttgart
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3329851
• 发表日期: 2024
• 页码: 2205-2220
• 关键词: Control system synthesis; decentralized control; Linear matrix inequalities; Optimal scheduling

摘要

This work presents a framework to synthesize structured gain-scheduled controllers for structured plants whose dynamics change according to time-varying scheduling parameters. Both the system and the controller are assumed to admit descriptions in terms of a linear time-invariant system in feedback with the so-called scheduling blocks, which collect all the scheduling parameters into a static system. We show that such linear fractional representations permit to exploit a so-called lifting technique in order to handle several structured gain-scheduling design problems. These could arise from a nested inner and outer loop control configuration with partial or full dependence on the scheduling variables. Our design conditions are formulated in terms of convex linear matrix inequalities and permit to handle multiple performance objectives.