This paper is concerned with fractional-order PI~λD~μcontrollers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of a fractional-order controller and fractional-o...This paper is concerned with fractional-order PI~λD~μcontrollers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of a fractional-order controller and fractional-order control systems are outlined. The effects on control systems of order variation for fractional-order PI~λD~μ controllers are investigated by qualitative analysis and simulation. The conclusions and simulation examples are given. The results show the fractional-order PI~λD~μ controller is not sensitive to variation of its order.展开更多
针对机器人焊接过程中的焊缝跟踪性能问题,提出一种分数阶PI^λD^μ控制方法。首先根据分数阶的原理,设计分数阶PI^λD^μ控制器,然后应用混合粒子群算法(HPSO)优化分数阶PI^λD^μ控制器的5个参数(kP, kI, kD,l,m),该算法以粒子群算法...针对机器人焊接过程中的焊缝跟踪性能问题,提出一种分数阶PI^λD^μ控制方法。首先根据分数阶的原理,设计分数阶PI^λD^μ控制器,然后应用混合粒子群算法(HPSO)优化分数阶PI^λD^μ控制器的5个参数(kP, kI, kD,l,m),该算法以粒子群算法为基础,融合遗传算法交叉,变异的特点,提升全局搜索能力。采用改进的误差绝对值时间积分函数(ITAE)作为优化目标,对系统进行多种信号仿真,结果表明HPSO-分数阶PI^λD^μ控制器收敛速度快,精度高,鲁棒性强,达到了预期的控制目的。展开更多
This article provides a graphical parameter tuning method of PI^λ controllers for fractional-order time-delay systems. First, the complete stabilizing region of PI^λ controller in proportional-integral plane, for a ...This article provides a graphical parameter tuning method of PI^λ controllers for fractional-order time-delay systems. First, the complete stabilizing region of PI^λ controller in proportional-integral plane, for a fixed A, is determined in terms of a graphical stability criterion applicable to fractional-delay systems. Then, the stabilizing region is maximized analytically with respect to parameter ), to expect the most various behaviors of the closed-loop systems. Finally, by defining appropriate functions relative to the requirements of gain and phase margins, the curves in the maximized stabilizing region satisfying the pre-specified gain and phase margins are drawn, which releases a flexible parameter tuning procedure. Numerical examples are given to illustrate the design steps.展开更多
基金Sponsored by Shanghai Science and Technology Development Funds (Grant No.011607033).
文摘This paper is concerned with fractional-order PI~λD~μcontrollers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of a fractional-order controller and fractional-order control systems are outlined. The effects on control systems of order variation for fractional-order PI~λD~μ controllers are investigated by qualitative analysis and simulation. The conclusions and simulation examples are given. The results show the fractional-order PI~λD~μ controller is not sensitive to variation of its order.
文摘针对机器人焊接过程中的焊缝跟踪性能问题,提出一种分数阶PI^λD^μ控制方法。首先根据分数阶的原理,设计分数阶PI^λD^μ控制器,然后应用混合粒子群算法(HPSO)优化分数阶PI^λD^μ控制器的5个参数(kP, kI, kD,l,m),该算法以粒子群算法为基础,融合遗传算法交叉,变异的特点,提升全局搜索能力。采用改进的误差绝对值时间积分函数(ITAE)作为优化目标,对系统进行多种信号仿真,结果表明HPSO-分数阶PI^λD^μ控制器收敛速度快,精度高,鲁棒性强,达到了预期的控制目的。
基金supported by the National Natural Science Foundation of China (No. 60874028)
文摘This article provides a graphical parameter tuning method of PI^λ controllers for fractional-order time-delay systems. First, the complete stabilizing region of PI^λ controller in proportional-integral plane, for a fixed A, is determined in terms of a graphical stability criterion applicable to fractional-delay systems. Then, the stabilizing region is maximized analytically with respect to parameter ), to expect the most various behaviors of the closed-loop systems. Finally, by defining appropriate functions relative to the requirements of gain and phase margins, the curves in the maximized stabilizing region satisfying the pre-specified gain and phase margins are drawn, which releases a flexible parameter tuning procedure. Numerical examples are given to illustrate the design steps.