State-Feedback Design for Nonlinear Saturating Systems

• 成果类型: Article
• 署名作者: Valmorbida, Giorgio; Papachristodoulou, Antonis
• 署名单位: Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Institut Polytechnique de Paris; Ecole Polytechnique; University of Oxford
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3099457
• 发表日期: 2022
• 页码: 3157-3164
• 关键词: Symmetric matrices; State feedback; programming; trajectory; stability analysis; Predator prey systems; Level set; control design; input saturation; Linear matrix inequalities; nonlinear control systems; sum-of-squares

摘要

This article presents strategies for state-feedback control law design of nonlinear control laws with saturating inputs. The input constraints are handled by considering a generalized local sector inequality allowing the study of nonsymmetric saturation bounds. A numerical formulation is presented for polynomial systems and is based on the solution of Lyapunov inequalities with sum-of-squares programming.