The purpose of this paper is to develop an analytic way for designing optimal PI-controllers for the interval plant family. Optimality means that the coefficient intervals of the plant stabilized by a PI-controller is...The purpose of this paper is to develop an analytic way for designing optimal PI-controllers for the interval plant family. Optimality means that the coefficient intervals of the plant stabilized by a PI-controller is maximized. It will be shown that the optimization problem can be formulated in terms of an eigenvalue minimization problem of matrix pairs of the form （H（h0, g0）, H（δ1,k, δ2,k））, where k= 1, 2, 3, 4 and both H（h0, g0） and H（δ1,k,δ2,k） are frequency independent Hurwitz-like matrices. A numerical example is provided to illustrate that optimal controller parameters can be successfully obtained by a two-dimensional search.展开更多
文章研究负荷频率控制(Load frequency control,LFC)电力系统的采样周期相关稳定性问题.首先,使用采样数据比例-积分(Proportional-integral,PI)控制策略构建LFC电力系统闭环模型.其次,应用闭环Lyapunov泛函方法和自由矩阵不等式技术,...文章研究负荷频率控制(Load frequency control,LFC)电力系统的采样周期相关稳定性问题.首先,使用采样数据比例-积分(Proportional-integral,PI)控制策略构建LFC电力系统闭环模型.其次,应用闭环Lyapunov泛函方法和自由矩阵不等式技术,得到一个低保守性的采样周期相关稳定判据.最后,通过两个算例讨论了LFC电力系统中PI控制器增益与采样周期最大允许上界之间的关系,并且验证了所提稳定判据的有效性和优越性.展开更多
基金the National Natural Science Foundation of China (No.69904003)the Research Fund for Doctoral Program of the Higher Education (RFDP) (No.1999000701.)
文摘The purpose of this paper is to develop an analytic way for designing optimal PI-controllers for the interval plant family. Optimality means that the coefficient intervals of the plant stabilized by a PI-controller is maximized. It will be shown that the optimization problem can be formulated in terms of an eigenvalue minimization problem of matrix pairs of the form （H（h0, g0）, H（δ1,k, δ2,k））, where k= 1, 2, 3, 4 and both H（h0, g0） and H（δ1,k,δ2,k） are frequency independent Hurwitz-like matrices. A numerical example is provided to illustrate that optimal controller parameters can be successfully obtained by a two-dimensional search.
文摘文章研究负荷频率控制(Load frequency control,LFC)电力系统的采样周期相关稳定性问题.首先,使用采样数据比例-积分(Proportional-integral,PI)控制策略构建LFC电力系统闭环模型.其次,应用闭环Lyapunov泛函方法和自由矩阵不等式技术,得到一个低保守性的采样周期相关稳定判据.最后,通过两个算例讨论了LFC电力系统中PI控制器增益与采样周期最大允许上界之间的关系,并且验证了所提稳定判据的有效性和优越性.
