时滞系统分数阶PI^λD^μ鲁棒控制  

Fractional Order PI~λD~μ Robust Control for Time Delay System

作　　者：梁涛年[1] 陈建军[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《振动．测试与诊断》2011年第3期357-361,399,共5页Journal of Vibration,Measurement & Diagnosis

基　　金：国家高技术研究发展计划("八六三"计划)资助项目(编号:2006AA042402)

摘　　要：利用控制系统在满足相位裕度和幅值裕度的鲁棒性条件下,设计了对时间常数变化具有鲁棒性分数阶PIλDμ控制器;利用相位裕度条件和截至频率在指定点处的波特图局部平坦的鲁棒性条件,设计了对增益常数变化具有鲁棒性的分数阶PIλDμ控制器;利用非线性优化函数对分数阶PIλDμ控制器的5个可调参数进行寻优;最后采用两个时滞系统算例分别进行设计方法验证和鲁棒性能仿真分析。结果表明,分数阶PIλDμ控制器比传统的整数阶PID控制器具有较强的鲁棒性和系统稳定性能。The paper finds out optimum controller parameters for a fractional order PIλDμcontroller to fulfill stability condition of gain and phase margins and gain robustness condition and the phase is force to be flat at cut off frequency in the bode plot.According to above robustness conditions,the fractional order PIλDμcontrollers with five control parameters are designed for the time constant change and gain constant change system with time delay,respectively.The nonlinear optimization method can solve the controller parameters.Finally,two systems with time delay were adopted to illustrate the design method and to simulation analysis. Results show that the fractional order PIλDμcontrollers have stronger robustness and stability performance than the conventional PID controller.

关 键 词：鲁棒性 分数阶PIλDμ控制器 时滞系统 相位裕度 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]