Abstract

In practical applications of automatic control theory, one often deals with situations where the controls must range in some domain, in particular, take only nonnegative values. In this case, popular synthesis methods such as modal and optimal control are not applicable. We propose methods for stabilizing the output variables in linear time-invariant SISO systems under nonnegative (unilateral) control constraints. The main idea is to implement the controls in the form of saturated linear functions whose saturation values coincide with the constraints on the controls. As an illustration of our algorithms, a pulsed DC voltage converter with an on/off switch control is considered. The results of simulation in Matlab Simulink are presented.

中文翻译：

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具有单边控制约束的稳定系统的综合

摘要

在自动控制理论的实际应用中，人们经常处理控制必须在某个域内变化的情况，特别是只取非负值。在这种情况下，模态和最优控制等流行的综合方法不适用。我们提出了在非负（单边）控制约束下稳定线性时不变 SISO 系统中输出变量的方法。主要思想是以饱和线性函数的形式实现控件，其饱和度值与控件上的约束一致。作为我们算法的说明，考虑了具有开/关开关控制的脉冲直流电压转换器。给出了在 Matlab Simulink 中的仿真结果。