Semiglobal Positive Stabilization of Discrete-Time Compartmental Systems With Actuator Saturation

• 成果类型: Article
• 署名作者: Qiu, Hongling; Shen, Jun; Gong, Xin
• 署名单位: Nanjing University of Aeronautics & Astronautics; Southeast University - China
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3596107
• 发表日期: 2026
• 关键词: Input saturation; linear-systems; exponential stabilization; Constrained control; SUBJECT; STABILITY; DESIGN; DELAYS

摘要

This article explores semiglobal positive stabilization of discrete-time compartmental systems using saturated linear feedback. For compartmental systems with positive stabilizability and irreducible system matrix, a parameterized linear feedback is determined using linear programming, which makes the closed loop without saturation constraints nonnegative, compartmental, and Schur stable. Furthermore, this linear feedback achieves the semiglobal stabilization of the system subject to actuator saturation while maintaining the positivity. For the case when the system matrix is reducible, an iterative algorithm is proposed to determine the parameterized linear feedback. We show that this algorithm can be terminated in finite number of steps if and only if, in the digraph corresponding to the closed loop without saturation nonlinearities, each vertex is outflow connected or has direct outflow to the environment. Finally, simulation examples are given to verify the validity of the results.