Robust design of PID controller for interval plants

We consider the problem of designing P, PI and PID controllers for interval plants. It is known from the area of parametric robust control that the stabilization problem for an interval plant are reduced to the equivalent problem of stabilizing either a finite set of certain extremal plants. This pa...

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Published inSICE '99. Proceedings of the 38th SICE Annual Conference. International Session Papers (IEEE Cat. No.99TH8456) pp. 933 - 936
Main Authors Cho, T.S., Choi, S.W., Kim, Y.C.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1999
Subjects
Control system synthesis
Control systems
Feedback
Polynomials
Robust control
Robust stability
Robustness
Sparks
Stability analysis
Three-term control
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Summary:We consider the problem of designing P, PI and PID controllers for interval plants. It is known from the area of parametric robust control that the stabilization problem for an interval plant are reduced to the equivalent problem of stabilizing either a finite set of certain extremal plants. This paper shows that under special conditions imposed on controller parameters and the order of plant, the number of extremal plants required for stabilization on PID controllers are reduced. Thereafter, using Ho's method, it allows one to obtain all the stabilizing set of PID gains for a interval plant family. We assure that the coefficient diagram method (CDM) is very useful for designing a controller because the design in CDM is not only carried out directly in the parameter space but also easy to meet the time domain specification, as shown in a numerical example.
ISBN:9784907764135
4907764138
DOI:10.1109/SICE.1999.788674