Parametric Optimization of a Second Order Time Delay System with a PID-Controller

J. Duda
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Abstract

Paper addresses parametric optimization problem for second order system with delay in control. Control is realized by means of PID-Controller in feedback loop. As an index is taken the integral of squared error. The value of that index is computed using the Lyapunov functional, which is defined applying the Lyapunov matrix. The value of that functional at the initial function of the time delay deferential equation equals the index value.
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带pid控制器的二阶时滞系统参数优化
研究了二阶时滞控制系统的参数优化问题。在反馈回路中采用pid控制器实现控制。取误差平方的积分作为指标。该索引的值是使用Lyapunov函数计算的,该函数是应用Lyapunov矩阵定义的。该泛函在时滞时滞方程初始函数处的值等于指标值。
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