Abstract

We propose a control method for dynamical systems that permits one to guarantee that the plant output signal is in a given set at any time. To solve the problem, a special change of coordinates is used that permits one to reduce the original problem with constraints to the problem of studying the input–state stability of the new extended unconstrained system. Examples of coordinate changes are given, and control algorithms for linear plants and systems with a sector nonlinearity in the presence of parametric uncertainty and disturbances are synthesized. The results obtained are accompanied by modeling that illustrates the efficiency of our method and confirms the theoretical conclusions.

中文翻译：

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动态植物的控制，保证控制信号保持在给定集中

摘要

我们提出了一种用于动态系统的控制方法，该方法允许任何时候保证工厂的输出信号处于给定的集合中。为了解决该问题，使用了一种特殊的坐标更改，该坐标更改允许通过研究新的扩展无约束系统的输入状态稳定性的约束来减少原始问题。给出了坐标变化的示例，并合成了在存在参数不确定性和干扰的情况下具有扇区非线性的线性工厂和系统的控制算法。获得的结果伴随有建模，该建模说明了我们的方法的有效性并证实了理论结论。