摘要
提出了满意优化不同于传统优化的基本特点,并依此建立了控制系统参数设计的满意优化模型.由所建立的效用函数及其期望,设计了效用函数下的满意优化算法,并进一步探讨了文中所设计的效用函数具有有界闭凸性及其在可测非负实值函数下的基本运算性质,为该算法的应用推广提供了理论基础.单回路控制系统下的仿真算例数据表明,效用函数下的满意优化算法具有良好的收敛性.
The basic characteristics of satisfactory optimization are put forward which are different from the traditional optimization,and a new satisfactory optimization model of parameter design of control system is proposed.Through the utility function and its expectation function,the satisfactory algorithm based on utility function is put forward,and the characters of boundary closed convexity and the basic operation characters under nonnegative measurable value function are discussed,which offers the basic theory for the application of the proposed algorithm.A simulation example of single loop control system is given to prove that the satisfactory optimization algorithm under the utility function has a favorable astringency.
出处
《信息与控制》
CSCD
北大核心
2011年第2期237-242,共6页
Information and Control
关键词
满意优化
测度论
效用理论
满意解
满意度函数
satisfactory optimization
measure theory
utility theory
satisfactory solution
satisfactory-degree function
