Nonlinear generalized minimum variance control of linear hybrid automata

Q3 Mathematics
Y. Pang, Wei-Liang Li, H. Xia
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引用次数: 0

Abstract

This paper investigates the linear hybrid automata(LHA) model. Under some certain conditions, linear hybrid automata(LHA) can be converted into their equivalent state-dependent space models, where equivalence means that the two systems generate the same trajectory. The controller of state-dependent space model can be designed by using a nonlinear generalized minimum variance(NGMV) algorithm. NGMV controller is designed for a very general nonlinear model, which can include a set of delay terms and external disturbances. The controller is easy to be computed and implemented. Simulation results show that the NGMV algorithm can control linear hyprid automata effectively, and satisfying effect is obtained under the condition of time delay, disturbance and noise exsiting in the system.
线性混合自动机的非线性广义最小方差控制
本文研究了线性混合自动机(LHA)模型。在一定条件下,线性混合自动机(LHA)可以转化为它们的等价状态相关空间模型,其中等价意味着两个系统产生相同的轨迹。采用非线性广义最小方差(NGMV)算法设计状态相关空间模型的控制器。NGMV控制器是针对一种非常一般的非线性模型设计的,该模型可能包含一组延迟项和外部干扰。该控制器易于计算和实现。仿真结果表明,NGMV算法可以有效地控制线性混合自动机,并且在系统存在时滞、干扰和噪声的情况下取得了满意的效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
控制与决策
控制与决策 Mathematics-Control and Optimization
CiteScore
2.40
自引率
0.00%
发文量
8840
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