In this paper, fractional order PI(FOPI) control is developed for speed control of permanent magnet synchronous motor(PMSM). Designing the parameters for FOPI controller is a challenging task, especially for nonlinear...In this paper, fractional order PI(FOPI) control is developed for speed control of permanent magnet synchronous motor(PMSM). Designing the parameters for FOPI controller is a challenging task, especially for nonlinear systems like PMSM.All three PI controllers in the conventional vector controlled speed drive are replaced by FOPI controllers. Design of these FOPI controllers is based on the locally linearized model of PMSM around an operating point. This operating point changes with the load torque. The novelty of the work reported here is in use of Non Linear Disturbance Observer(NLDO) to estimate load torque to obtain this new operating point. All three FOPI controllers are then designed adaptively using this new operating point. The scheme is tested on simulation using MATLAB/SIMULINK and results are presented.展开更多
Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related gen...Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized convexities are given. In this paper, we give the convexity of (F, α ,p ,d ,b , φ )β vector-pseudo- quasi-Type I and formulate a higher-order duality for minimax fractional type programming involving symmetric matrices, and give the weak, strong and strict converse duality theorems under the condition of higher-order (F, α ,p ,d ,b , φ )β vector-pseudoquasi-Type I.展开更多
在系统分析与设计过程中,针对高阶动态系统所具有的时滞性,常常利用具有延迟环节的一阶(first order plus time delay,FOPTD)或者二阶系统(second order plus time delay,SOPTD)模型对其进行近似处理,由于建模误差过大影响所描述系统的...在系统分析与设计过程中,针对高阶动态系统所具有的时滞性,常常利用具有延迟环节的一阶(first order plus time delay,FOPTD)或者二阶系统(second order plus time delay,SOPTD)模型对其进行近似处理,由于建模误差过大影响所描述系统的准确性和控制性能。本文给出了具有延迟环节的新型非整数阶类一阶系统模型(non-integer order plus time delay,NIOPTD),并分别设计了某高阶系统降阶得到的传统模型与新型类一阶系统近似模型,对比分析新型类一阶系统模型的优点与可行性。针对上述3种系统模型(FOPTD、SOPTD、NIOPTD)在频域内给出分数阶PIλDμ控制器新的参数整定方法,通过仿真对比分析得出方法的有效性,并证实分数阶PIλDμ控制器作用于NIOPTD模型具有最好的控制性能和鲁棒稳定性。展开更多
文摘In this paper, fractional order PI(FOPI) control is developed for speed control of permanent magnet synchronous motor(PMSM). Designing the parameters for FOPI controller is a challenging task, especially for nonlinear systems like PMSM.All three PI controllers in the conventional vector controlled speed drive are replaced by FOPI controllers. Design of these FOPI controllers is based on the locally linearized model of PMSM around an operating point. This operating point changes with the load torque. The novelty of the work reported here is in use of Non Linear Disturbance Observer(NLDO) to estimate load torque to obtain this new operating point. All three FOPI controllers are then designed adaptively using this new operating point. The scheme is tested on simulation using MATLAB/SIMULINK and results are presented.
文摘Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized convexities are given. In this paper, we give the convexity of (F, α ,p ,d ,b , φ )β vector-pseudo- quasi-Type I and formulate a higher-order duality for minimax fractional type programming involving symmetric matrices, and give the weak, strong and strict converse duality theorems under the condition of higher-order (F, α ,p ,d ,b , φ )β vector-pseudoquasi-Type I.
文摘在系统分析与设计过程中,针对高阶动态系统所具有的时滞性,常常利用具有延迟环节的一阶(first order plus time delay,FOPTD)或者二阶系统(second order plus time delay,SOPTD)模型对其进行近似处理,由于建模误差过大影响所描述系统的准确性和控制性能。本文给出了具有延迟环节的新型非整数阶类一阶系统模型(non-integer order plus time delay,NIOPTD),并分别设计了某高阶系统降阶得到的传统模型与新型类一阶系统近似模型,对比分析新型类一阶系统模型的优点与可行性。针对上述3种系统模型(FOPTD、SOPTD、NIOPTD)在频域内给出分数阶PIλDμ控制器新的参数整定方法,通过仿真对比分析得出方法的有效性,并证实分数阶PIλDμ控制器作用于NIOPTD模型具有最好的控制性能和鲁棒稳定性。
