Parameter Identification of Bilinear System Based on Genetic Algorithm

• Published in: Bio-Inspired Computational Intelligence and Applications Vol. 4688; pp. 83 - 91
• Main Authors: Wang, Zhelong, Gu, Hong
• Format: Book Chapter
• Language: English
• Published: Germany Springer Berlin / Heidelberg 2007; Springer Berlin Heidelberg
• Series: Lecture Notes in Computer Science
• Subjects: Bilinear System; Combine Algorithm; Genetic Algorithm; Genetic Operation; Recursive Little Square
• ISBN: 3540747680; 9783540747680
• ISSN: 0302-9743; 1611-3349
• DOI: 10.1007/978-3-540-74769-7_10

The paper presents a method for the identification of bilinear system parameters by using an improved Genetic Algorithm. Good results could still be obtained when the system output was influenced by Gaussian noise in the simulation. By comparing with RLS and COR through a simulation experiment to a SISO bilinear system, it is found that the method can get better result than the other two methods. Through a simulation experiment to a MIMO bilinear system, the method can get reasonably good results too. These simulations show that the method is simpler and can get better results than RLS and COR. Through a simulation study to an MIMO bilinear system, good results can still be got. In the last section, the paper describes that a hybrid GA, the combination of Genetic Algorithm and nonlinear Least Square, was developed to identify bilinear system structure and parameters simultaneously.