A ROBUST PI CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS WITH UNCERTAINTY USING SUM OF SQUARES DECOMPOSITION

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ZAKERI HASAN; OZGOLI SADJAAD

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Journal: Journal of Control Year:2012 | Volume:6 | Issue:3 Page(s): 27-35

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Title

A ROBUST PI CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS WITH UNCERTAINTY USING SUM OF SQUARES DECOMPOSITION

Author(s)

ZAKERI HASAN | OZGOLI SADJAAD | Issue Writer Certificate

Keywords

ROBUST PI CONTROLQ3

SUM OF SQUARES DECOMPOSITIONQ3

DENSITY FUNCTIONQ3

NONLINEAR CONTROL SYNTHESISQ3

PARAMETRIC UNCERTAINTYQ2

Abstract

This paper presents a new algorithmic method to design PI controller for a class of nonlinear systems whose state space description is in the form of polynomial functions. Design procedure is taken place based on certain or uncertain nonlinear model of system and sum of squares optimization. A so called DENSITY FUNCTION is employed to formulate the design problem into a convex optimization program of sum of squares optimization form. Robustness of the design is guaranteed by taking PARAMETRIC UNCERTAINTY into account with an approach similar to that of generalized S-Procedure. Validity and applicability of the proposed method is certified with numerical simulation. This paper, besides presenting an innovated PI control design which is not based on local linearization and works globally, announces a new approach in formulating PARAMETRIC UNCERTAINTY in nonlinear systems. Derived stability conditions do not suffer from any drawbacks seen in previous results, such as depending on a linearized model or a stable model and it can overcome most control difficulties. Furthermore, employing sum of squares techniques makes it possible to drive stability conditions with least conservatism and directly derive stability of nonlinear system.

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APA: Copy

ZAKERI, HASAN, & OZGOLI, SADJAAD. (2012). A ROBUST PI CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS WITH UNCERTAINTY USING SUM OF SQUARES DECOMPOSITION. JOURNAL OF CONTROL, 6(3), 27-35. SID. https://sid.ir/paper/120880/en

Vancouver: Copy

ZAKERI HASAN, OZGOLI SADJAAD. A ROBUST PI CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS WITH UNCERTAINTY USING SUM OF SQUARES DECOMPOSITION. JOURNAL OF CONTROL[Internet]. 2012;6(3):27-35. Available from: https://sid.ir/paper/120880/en

IEEE: Copy

HASAN ZAKERI, and SADJAAD OZGOLI, “A ROBUST PI CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS WITH UNCERTAINTY USING SUM OF SQUARES DECOMPOSITION,” JOURNAL OF CONTROL, vol. 6, no. 3, pp. 27–35, 2012, [Online]. Available: https://sid.ir/paper/120880/en

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