Abstract
A nonlinear predictive control method for a fractional-order hydraulic turbine governing system (HTGS) with a time delay is studied in this paper. First, a fractional-order model of a time-delay hydraulic turbine governing system is presented. Second, the fractional-order hydraulic servo subsystem is transformed into a standard controlled autoregressive moving average (CARMA) model according to the Grünwald-Letnikov (G-L) definition of fractional calculus. Third, based on the delayed Takagi-Sugeno fuzzy model, the fuzzy prediction model of the integer-order part of the HTGS is given. Then, by introducing a fourth-order Runge-Kutta algorithm, the fuzzy prediction model can be easily transformed into the CARMA model. Furthermore, a nonlinear predictive controller is proposed to stabilize the time-delay HTGS. Finally, the experiment results are consistent with the theoretical analysis.
Highlights
Efforts to develop clean energy and to improve the status of clean energy in international energy architecture are urgently needed because of the burning of large amounts of fossil fuels
The Grünwald-Letnikov (G-L) definition is used to deal with the fractional order model of hydraulic turbine governing system (HTGS) with time delay, and the fractional hydraulic servo system is transformed into the standard controlled autoregressive moving average (CARMA) model, which provides a model basis for the control of the system
Based on the obtained CARMA model and the generalized predictive control (GPC) theory, a nonlinear fuzzy generalized predictive controller is designed for the fractional-order time-delay HTGS
Summary
Efforts to develop clean energy and to improve the status of clean energy in international energy architecture are urgently needed because of the burning of large amounts of fossil fuels. Can fuzzy techniques and generalized predictive control (GPC) be combined for the control of the fractional-order nonlinear time-delay HTGS? Considering the mechanical inertia of a hydraulic servo system and the strong historical dependence of relay parts, a fractional-order nonlinear HTGS with a time delay is presented. The Grünwald-Letnikov (G-L) definition is used to deal with the fractional order model of HTGS with time delay, and the fractional hydraulic servo system is transformed into the standard CARMA model, which provides a model basis for the control of the system. Based on the obtained CARMA model and the generalized predictive control (GPC) theory, a nonlinear fuzzy generalized predictive controller is designed for the fractional-order time-delay HTGS.
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