Design of PID and FOPID Controllers Via Geometric Programming

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Rezagholipour, Mehdi | 2014

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 45525 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Sadati, Nasser
Abstract:
PID controllers are very famous and widely used in industry due to their simplicity, effectiveness,robustness and readily tunable parameters. They have been known since 1890 and various methods for its design have been introduced until now. Among them, we can name Ziegler-ichols and CHR that are widely used. Fractional order PID (FIPID) controllers are a more generel case of classic PID controllers and have a better capability to control dynamic systems beacause they have more free parameters. The present project demonestrates application of geometric programming (GP) to design PI, PID and FOPID controllers. GP is a kind of optimization problem in which the objective and constraint functions have a particular form. GP problems are not generally convex, but they can be tronsformed to a convex form by a ogarithmic change of variables,and a logarithmic transformation of of the objective and constraint functions. Here, we transform a method of designing PID controllers into GP optimization and solve it. Then we will generalize this method for designing FOPID controllers
Keywords:
Proportional-Integral-Derivative (PID)Controller ; Fractional Order Proportional Integrated Derivative (FOPID)Controller ; Geometric Programming ; Loop Shaping