Analysis and Stabilization of Linear Cone-Preserving Systems With Bounded Inputs

• 成果类型: Article
• 署名作者: Qiu, Hongling; Shen, Jun
• 署名单位: Nanjing University of Aeronautics & Astronautics
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3566638
• 发表日期: 2025
• 页码: 6977-6983
• 关键词: Lyapunov methods; Ellipsoids; vectors; trajectory; Linear systems; Level set; convex hulls; Upper bound; stability analysis; training; Cone-preserving system; domain of attraction; input saturation; invariant set

摘要

This article focuses on estimating the domain of attraction for linear cone-preserving systems subject to saturated linear feedback. The considered system model belongs to a category of control systems whose state trajectories are constrained within proper cones. In terms of cone max norms induced by proper cones, an extended max-separable Lyapunov function is constructed. Furthermore, sufficient criteria are given to show that the level set of this Lyapunov function is contractively invariant for the closed loop through the reproducing property of proper cones, and the controller to enlarge this set is synthesized via iterative algorithms. For the single-input case, we show that once the direction of the upper bound vector of the contractive invariant set is determined, an exact characterization of the maximal contractively invariant set can be given. Finally, two numerical examples are provided to verify the validity of the results.