Discrete fractional order PID controller design for nonlinear systems. Issue 15 (18th November 2021)

• Record Type: Journal Article
• Authors: Li, Zhijie; Ding, Jie; Wu, Min; Lin, Jinxing
• Is Part Of: International journal of systems science. Volume 52:Issue 15(2021)
• Page Start: 3206
• Page End: 3213
• Publication Date: 2021-11-18
• Subjects: Discrete nonlinear system -- fractional order PID controller -- U-model -- robust stability; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2021.1924307
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: 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.