Design of Robust PID Controller Using Hybrid Algorithm for Reduced Order Interval System

Thirumalaimuthu, Babu; Natarajan, Pappa
August 2012
Asian Journal of Scientific Research;2012, Vol. 5 Issue 3, p108
Academic Journal
A System with parameter variation within bound creates interval in coefficients in the System polynomial and hence it is called as interval System. In this study, a model order reduction for linear interval System is attempted. A convergence technique is attempted to reduce the numerator polynomial. The denominator polynomial is reduced by using the methods such as retention of Markov parameter and time moments technique. A numerical approach is proposed to compute the reduced order interval model for a higher order linear time variant model. Also in this study, a novel technique using Particle Swarm assisted Bacterial Foraging Optimization (PSO-BFO) based hybrid algorithm is proposed to search the PID controller parameters such as Kp, Ki and Kd. The algorithm is to obtain the best possible PID parameters with Integral Squared Error (ISE) criterion minimization is as the objective function. Initially the controller parameters are obtained for reduced order model; then it is tested with the higher order model. A simulation is carried out to shows that the effectiveness of proposed model reduction algorithm and the controller performance. From the result it is observed that, the projected method provides enhanced performance for the interval System.


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