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在现实世界中,存在一类实际系统,其相应的动力学系统可以用正系统来刻画。这类系统在交通流量控制,电力系统,系统生物学,经济学模型和化学工业等领域有着广泛的应用,因而近年来不断得到越来越多的来自不同学科研究学者的兴趣。本文研究的是用线性规划的形式表示时滞正系统稳定的充分、必要条件以及时滞正系统L_1诱导性能指标的刻化条件。在此基础上,推导出鲁棒静态输出反馈控制器的存在条件,并建立迭代优化方法来求解控制器存在的条件。最后,本文用一个实例来验证该理论方法的可行性和有效性。
In the real world, there is a kind of real system, the corresponding dynamic system can be described by a positive system. Such systems have been widely used in traffic flow control, power system, system biology, economics model and chemical industry, etc., and thus have been getting more and more interest from different disciplines in recent years. This paper studies the sufficient and necessary conditions for the stability of positive-delay systems with linear programming and the conditions for the induction of L_1-induced performance of time-delay systems. On this basis, the existence conditions of the robust static output feedback controller are deduced and an iterative optimization method is established to solve the existing conditions of the controller. Finally, this paper uses an example to verify the feasibility and effectiveness of the theoretical method.