CONTROL OF DEAD-TIME SYSTEMS USING HYBRID ANT COLONY OPTIMIZATION

This paper introduces two improved forms of the ant colony optimization (ACO) algorithm applied to a proportional integral derivative (PID) controller and Smith predictor design. Derivative free optimization methods, namely simplex derivative based pattern search (SDPS) and implicit filtering (IMF), are used to intensify the search mechanism in the ACO algorithm with improved convergence over the original ACO. The effectiveness of the controller schemes using the proposed algorithms, namely SDPS-ACO, and IMF-ACO, is demonstrated using unit step set point response for a class of dead-time systems, and the results are compared with some existing methods of controller tuning.

[1]  Carl Tim Kelley,et al.  Iterative methods for optimization , 1999, Frontiers in applied mathematics.

[2]  Marco Dorigo,et al.  The ant colony optimization meta-heuristic , 1999 .

[3]  Tamara G. Kolda,et al.  Asynchronous Parallel Pattern Search for Nonlinear Optimization , 2001, SIAM J. Sci. Comput..

[4]  Charles Audet,et al.  Analysis of Generalized Pattern Searches , 2000, SIAM J. Optim..

[5]  Teodor Gabriel Crainic,et al.  Parallel Strategies for Meta-Heuristics , 2003, Handbook of Metaheuristics.

[6]  Charles Audet,et al.  Mesh Adaptive Direct Search Algorithms for Constrained Optimization , 2006, SIAM J. Optim..

[7]  Jovitha Jerome,et al.  Design of PID controllers for dead-time systems using simulated annealing algorithms , 2010, Int. J. Autom. Control..

[8]  V. Torczon,et al.  RANK ORDERING AND POSITIVE BASES IN PATTERN SEARCH ALGORITHMS , 1996 .

[9]  Teodor Gabriel Crainic,et al.  Introduction to the Special Issue on Parallel Meta-Heuristics , 2002, J. Heuristics.

[10]  Günther R. Raidl,et al.  A Unified View on Hybrid Metaheuristics , 2006, Hybrid Metaheuristics.

[11]  Enrique Alba,et al.  Parallel Metaheuristics: A New Class of Algorithms , 2005 .

[12]  Günther R. Raidi.  A unified view on hybrid metaheuristics , 2006 .

[13]  John L. Nazareth,et al.  Introduction to derivative-free optimization , 2010, Math. Comput..

[14]  William L. Luyben,et al.  Identification and Tuning of Integrating Processes with Deadtime and Inverse Response , 2003 .

[15]  Luís N. Vicente,et al.  Using Sampling and Simplex Derivatives in Pattern Search Methods , 2007, SIAM J. Optim..

[16]  Marco Dorigo,et al.  Ant colony optimization theory: A survey , 2005, Theor. Comput. Sci..

[17]  R. Padma Sree,et al.  A simple method of tuning PID controllers for integrator/dead-time processes , 2003, Comput. Chem. Eng..

[18]  W. Luyben.  Tuning proportional-integral-derivative controllers for integrator/deadtime processes , 1996 .

[19]  Seid H. Pourtakdoust,et al.  An Extension of Ant Colony System to Continuous Optimization Problems , 2004, ANTS Workshop.

[20]  A. Visioli.  Optimal tuning of PID controllers for integral and unstable processes , 2001 .

[21]  W. Luyben,et al.  Tuning PI controllers for integrator/dead time processes , 1992 .