Discrete fractional order PID controller design for nonlinear systems

作者：Zhijie Li, Jie Ding, Min Wu, Jinxing Lin · 发表于：International Journal of Systems Science · 年份：2021 · DOI：10.1080/00207721.2021.1924307 · 被引用次数：39 · 研究领域：Advanced Control Systems Design、Fractional Differential Equations Solutions、Extremum Seeking Control Systems

In this study, a discrete fractional order PID controller for nonlinear systems is proposed. U-model is firstly employed to transform nonlinear systems into a linear-like model and model complexity is then degraded and easier for controller design. Then, a new discrete fractional order PID control law in difference equation is presented which takes advantage of two more adjustable parameters. Finally, robust stability of the control law is analysed. Both deterministic and stochastic examples are provided to illustrate the effectiveness and superiority of the proposed controller.