摘要
研究了一类利用微分代数方程描述的生物经济系统的分岔、脉冲及控制问题。基于微分代数系统分岔、矩阵束指数等理论,研究了该类生物经济系统在参数临界状态下,出现的奇异诱导分岔及脉冲行为,以及构造该系统的广义T-S模糊模型;并利用T-S模糊广义系统控制方法,设计状态反馈控制器,抑制种群的变化,使系统达到稳定状态,从而消除系统中的奇异诱导分岔及脉冲行为。数值仿真实例说明了该控制器的有效性。
The problems of singularity-induced bifurcation （SIB）, impulsive behavior and corresponding control are discussed for a class of bioeconomic systems with differential-algebraic equations. It is obtained that there exist the SIB and impulsive behavior in the system when the bifurcation parameter crosses a critical value, based on theories of the bifurcation and index of matrix pencil in differential-algebraic systems. The T-S fuzzy descriptor models are constructed. A feedback controller is designed to control the change of population so as to make the system stable. The SIB and impulsive behavior can be eliminated by the control method of T-S fuzzy descriptor systems. Numerical simulation result shows the effectiveness of the proposed controller.
出处
《控制工程》
CSCD
2007年第6期599-602,共4页
Control Engineering of China
基金
国家自然科学基金资助项目(60574011)
辽宁省自然科学基金资助项目(20052002)
辽宁省博士启动基金资助项目(1040341)
关键词
广义生物经济系统
奇异诱导分岔
脉冲
T-S模糊广义系统
descriptor bioeconomic system
singularity-induced bifurcation
impulse
T-S fuzzy descriptor system
