Control of positive systems with an unknown state-dependent power law input delay and input saturation.

卷:151

Article

关键词: DYNAMIC OUTPUT-FEEDBACK;    REACHABILITY ANALYSIS;    STRUCTURAL STABILITY;    NONLINEAR-SYSTEMS;    TRACKING CONTROL;    CONTROLLABILITY;    COMPENSATION;    STABILIZATION;    PREDICTION;    OBSERVERS;   

DOI  :  10.1016/j.automatica.2023.110853

来源: SCIE

【 摘 要 】

This paper is motivated by a class of positive systems with an input that is subject to an unknown state dependent power law delay as well as saturation. For example, biological networks have non-negative protein concentration states. Mass action kinetics in these systems result in power law behavior, while complex interactions cause signal propagation delays. Incomplete network characterization makes delay state-dependence unknown. Manipulating network activity via modulated protein concentrations to attain desired performance is restricted by upper-bounds on concentration actuator authority. Here, an innovative control law exploits system dynamics to compensate for control domain restrictions. A Lyapunov stability analysis establishes that the reference tracking error of the closed-loop system is uniformly ultimately bounded. Numerical simulations on a human coagulation model show controller efficacy and better performance compared to the relevant literature. This example application steps toward personalized, closed-loop treatments for trauma coagulopathy, which currently has 30% mortality with open-loop clinical approaches. (c) 2023 Elsevier Ltd. All rights reserved.

【 授权许可】

Free