Rationalization realization method of fractional-order PID controller

Abstract

The invention discloses a rationalization realization method of a fractional-order PID controller. The rationalization realization method comprises the steps of: S1, acquiring an optimum rational approximation realization criterion according to an optimum approximation principle, and establishing an optimum rational approximation function according to the optimum rational approximation realization criterion; S2, establishing an optimum rational approximation function of a fractional-order integral term and a fractional-order differential item in the fractional-order PID controller, and substituting a transfer function of the fractional-order PID controller, so as to carry out rational design of the fractional-order PID controller. The rationalization realization method can improve the transient-state response and steady-state response features of the fractional-order PID controller, enriches and perfects a fractional-order control theory, and can be effectively applied to the design, analysis and realization of the fractional-order controller.

Description

technical field [0001] The invention relates to the technical field of fractional-order control, in particular to a rational realization method of a fractional-order PID controller. Background technique [0002] The fractional-order controller proposed in recent years has the characteristics of strong adaptability and many adjustable parameters, so it has strong engineering applicability, especially for nonlinear coupled systems. At present, the research and application of fractional order controllers have achieved some results. Fractional PD by VahidBadri α The controller was synthesized and analyzed, and Koteswara et al. designed fractional-order PI based on energy flow α controller, and analyzed the stability of the controller, KarimaAmoura et al. designed a fine-tuning fractional order PI β D. α Controller, P.Lanusse, D.Valerio et al. studied the crone controller respectively, and De-Jin Wang proposed the design method of the fractional order lead / lag compensation co...

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Problems solved by technology

The digital realization method of the differential operator mostly adopts the oustaloup calculation method, because the oustaloup method requires the boundary frequency index of the approximation interval in the frequency domain to be strictly symmetrical in the implementation process, and the approximation accuracy of the oustaloup at the boundary of the approximation interval is poor, resulting in insufficient implementation methods Flexible, so the implementation method of calculus operator needs to be improved

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