摘要
研究了同时具有多个扇形非线性环节和多个未建模动态的多变量系统的鲁棒绝对稳定性．用带有Ｐｏｐｏｖ乘子的线性分式变换模型对线性和非线性不确定性进行了统一处理．得到了系统的鲁棒绝对稳定性判据，并将这一判据的计算化为凸优化问题，最后给出了计算示例．
This paper discusses the robust absolute stability of multivariable systems with multiple sector bounded nonlinearities and unmodeled dynamics. Linear and nonlinear uncertainties are handled by a unified linear fractional transformation(LFT) model with Popov multipliers. A robust absolute stability criterion is obtained for the discussed systems. A convex optimization procedure is proposed to compute the given criterion. Finally, an illustrative example is given to show the efficiency of the obtained criterion.
出处
《自动化学报》
EI
CSCD
北大核心
1998年第1期16-23,共8页
Acta Automatica Sinica
基金
国家自然科学基金
关键词
鲁棒绝对稳定性
多非线性
多变量系统
Robust absolute stability, multiple nonlinearities, unmodeled dynamics, multivariable Popov criterion.
