Optimal approximation of linear systems using a Teaching-Learning-Based Optimization algorithm

In simulation of complex dynamic system or controller design, approximation of linear system models is one important task. In this paper, an optimization algorithm named Teaching-Learning-Based Optimization (TLBO) is presented for optimal approximating linear systems. The novel algorithm performance was tested on two linear systems, a stable linear system and an unstable one. Experimental results show that the proposed TLBO can effectively approximate stable and unstable linear systems.

[1]  R. Rao,et al.  Multi-objective optimization of heat exchangers using a modified teaching-learning-based optimization algorithm , 2013 .

[2]  R. Venkata Rao,et al.  Parameter optimization of modern machining processes using teaching-learning-based optimization algorithm , 2013, Eng. Appl. Artif. Intell..

[3]  R. Venkata Rao,et al.  Teaching-Learning-Based Optimization: An optimization method for continuous non-linear large scale problems , 2012, Inf. Sci..

[4]  Du Hai-feng,et al.  Optimal approximation of linear systems by artificial immune response , 2006 .

[5]  Vivek Patel,et al.  An elitist teaching-learning-based optimization algorithm for solving complex constrained optimization problems , 2012 .

[6]  Zhou Jianzhong,et al.  Hybrid DE-TLBO algorithm for solving short term hydro-thermal optimal scheduling with incommensurable objectives , 2013, Proceedings of the 32nd Chinese Control Conference.

[7]  R. Venkata Rao,et al.  Multi-objective optimization of combined Brayton and inverse Brayton cycles using advanced optimization algorithms , 2012 .

[8]  Bin Wang,et al.  Multi-objective optimization using teaching-learning-based optimization algorithm , 2013, Eng. Appl. Artif. Intell..

[9]  Brian D. O. Anderson,et al.  Unstable rational function approximation , 1987 .

[10]  Jyh-Horng Chou,et al.  Optimal approximation of linear systems using Taguchi-sliding-based differential evolution algorithm , 2011, Appl. Soft Comput..

[11]  Swagatam Das,et al.  Two decomposition-based modem metaheuristic algorithms for multi-objective optimization — A comparative study , 2013, 2013 IEEE Symposium on Computational Intelligence in Multi-Criteria Decision-Making (MCDM).

[12]  C. Hwang,et al.  Optimal reduced-order models for unstable and nonminimum-phase systems , 1996 .

[13]  Chyi Hwang,et al.  Optimal approximation of linear systems by a differential evolution algorithm , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[14]  Paul A. Taylor,et al.  Approximate Dynamic Models for Recycle Systems , 1996 .

[15]  R. Venkata Rao,et al.  Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems , 2011, Comput. Aided Des..

[16]  Liu Guang-bin A modified differential evolution algorithm for linear system approximation , 2008 .

[17]  R. V. Rao,et al.  Teaching–learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems , 2012 .