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本文叙述一种关于工作在滑动模式下的变结构单变量控制系统的设计和仿真的计算机方法。对于给定的一个以状态变量形式表示的线性系统,本文提出了一些算法。这些算法可用于寻求在变结构状态反馈规律上的条件。这些条件将保证:有一个滑动超平面存在、从状态空间的任何地方均可命中这个平面并保证运动的稳定性。由于不需要系统以友形式来表示,并且给出了基于有限个状态量测的修正条件,因此这些算法是有独创性的。文中给出的计算机辅助设计程序包是采用了一系列可链接的 BASIC 程序段来实现这些算法。这里还给出了程序的流程图。在控制器设计之后,接着就可以对这种变结构控制系统进行仿真并绘出其相位和时间响应曲线。这里包括一些典型的变结构控制系统的结果并讨论了这种控制方式的实际好处。
This article describes a computerized approach to the design and simulation of variable structure single variable control systems operating in sliding mode. For a given linear system expressed in state variables, some algorithms are proposed in this paper. These algorithms can be used to find the condition of the feedback law of variable structure. These conditions will ensure that: there is a sliding hyperplane exists, from the state space anywhere can hit this plane and to ensure the stability of movement. These algorithms are ingenious because they do not require the system to be presented in a friend’s form, and given the correction conditions based on finite number of state measurements. The computer aided design package presented in this article uses a series of linkable BASIC blocks to implement these algorithms. Here is also the flow chart of the program. After designing the controller, the variable structure control system can then be simulated and its phase and time response curves plotted. Here are the results of some typical VSC systems and the practical benefits of this control method.