分数阶piλdμ控制器设计与应用研究控制理论与控制工程专业论文.docxVIP

分数阶PpD啦制器的设计和实验研究Study 分数阶PpD啦制器的设计和实验研究 Study on Design and Application of Fractional Order PI九D¨Controller Abstract The theory of fractional order calculus iS the theory of arbitrary order integral and differential．With the continuous development of the fractional order calculus theory study． the application of fractional order calculus theory in the field of control has become research hotspots gradually．Among them，the proposing of fractional order PI九D“controller is a milestone of the fractional order calculus theory applying in the field of contr01．Control parameters九and u are added to fractional order PI入Dp controllers on the base of integer order PID controller，which makes the design of controller more flexible and has better control performances，however，fractional order calculus iS introduced into the fractional order PIxDII controller which makes implement fractional order PI协“controller digitally more dimcult． the increase of control parameters also makes the controller parameters tuning becomes more complex，at the same time，the performance of fractional order PIXDp controller in practical application also needs to be further verified．Based on the above problems，the following research work were mainly done in this thesis． Firstly，the basic concepts of the fractional order calculus and the form of fractional order PImp controller were introduced，the approximation methods and the digital implementation methods were studied．including the time domain and Z domain approximation methods；then，the methods for design of the parameters of疗actional order PIm“controller were studied，including the roots and orders searching method．the gain and phase margin method and optimization method，and the genetic algorithm，particle swarlTl algorithm and quantum particle swarm algorithm were researched and compared in the thesis， quantum particle swaITn algorithm was used in fractional order PI协“controller parameters tuning for the first time in the thesis．Comparing the effects