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Design of Fixed Structure Pid Controller for Nonlinear System with Saturation
Author(s) -
Fang Bin
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.760
Subject(s) - control theory (sociology) , pid controller , nonlinear system , saturation (graph theory) , amplitude , inverse , controller (irrigation) , open loop controller , mathematics , control engineering , computer science , engineering , closed loop , physics , control (management) , temperature control , artificial intelligence , agronomy , geometry , quantum mechanics , combinatorics , biology
An approach is presented to design a PID controller for a given plant with saturation. Based on the describing function models of saturation and the method of determining the sets of stabilizing a PID controller for a linear plant with time delay or one that is delay free, the new equivalent inverse N yquist plots are given for different sinusoidal input amplitudes of saturation. The PID controller parameters are selected from intersecting sets of stabilizing PID parameter regions for different input amplitudes. The controller can effectively mitigate the saturation effect. For an open‐loop unstable plant, a prefilter is added on the reference input. Within the proposed framework, this approach can improve the stability of the system and reduce the degree of saturation. The simulation examples demonstrate the validity of the proposed approach.