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Order reduction of linear discrete systems using a genetic algorithm. (English) Zbl 1129.93436

Summary: Order reduction of linear discrete systems using classical methods of optimization is well understood and developed by various workers. The present effort is towards development of a method of linear discrete system order reduction using a genetic algorithm (GA) to get rid of usual difficulties of classical methods. The method developed is applied to a variety of systems and the reduced order models are obtained using the method. The results reported are encouraging and more work can be initiated in this area using a GA.

MSC:

93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
90C59 Approximation methods and heuristics in mathematical programming
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[1] Hsieh, C. S.; Hwang, C., Model reduction of linear discrete-time systems using bilinear Schwarz approximation, Ins. J. Systems Sci., 21, 1, 33-49 (1990) · Zbl 0695.93012
[2] Chung, C. G.; Han, K. W.; Yeh, H. H., Simplification and identification of transfer function via step-response matching, J. Franklin Inst., 311, 4, 231-241 (1981) · Zbl 0463.93036
[3] Sebhakhy, O. A.; Aly, M. N., Discrete-time model reduction with optimal zero locations by non-minimization, IEE. Proc. Contr. Theory Appl., 145, 6, 499-506 (1998)
[4] Lucas, T. N., Optimal discrete model reduction by multipoint pade approximation, J. Franklin Inst., 330, 5, 855-867 (1993) · Zbl 0812.93021
[5] Shoji, F. F.; Abe, K.; Takeda, H., A two-step iterative method for discrete-time systems reduction, J. Franklin Inst., 315, 4, 247-257 (1983) · Zbl 0514.93006
[6] Sreeram, V.; Agathoklis, P., Model reduction of linear discrete systems via weighted impulse response gramians, Int. J. Contr., 53, 1, 129-144 (1991) · Zbl 0723.93010
[7] K. Deb, Genetic algorithm in search and optimization: the technique and applications, Project report no. DST/PAC(6)/96-ET of Department of Science and Technology, Government of India; K. Deb, Genetic algorithm in search and optimization: the technique and applications, Project report no. DST/PAC(6)/96-ET of Department of Science and Technology, Government of India
[8] Deb, K., Optimization for Engineering Design: Algorithms and Examples (1998), Prentice Hall: Prentice Hall India
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