Robust synthesis of a PID controller by uncertain multimodel approach

Authors:
R. Toscano
Affiliations:
Laboratoire de Tribologie et de Dynamique des Systèmes, CNRS UMR5513, ECL/ENISE, 58, rue Jean Parot, 42023 Saint-Etienne Cedex 2, France
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

This paper presents an effective method to design a PID (or PI) controller for nonlinear systems where desirable robustness and performance properties must be maintained across a large range of operating conditions. For this purpose, an uncertain multimodel of the original nonlinear system is used. The uncertainties affecting the system are treated as stochastic matrices. Based on this multimodel representation a robust PID controller can be designed in order to obtain acceptable performance for all operating conditions. Numerical examples show the practical applicability of the proposed method.