Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials

Journal of the Franklin Institute

Volumn 341, Issue 3, 2004, Pages 279-293

  Marzban, H R ^a   Razzaghi, M ^b,c  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

^c AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Delay; Hybrid; Optimal control

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONSTRAINT THEORY; FUNCTIONS; INTEGRATION; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; POLYNOMIALS;

DELAY; HYBRID;

LINEAR CONTROL SYSTEMS;

EID: 1842502575     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2003.12.011     Document Type: Article

References (15)

1. Jamshidi M., Wang C.M. A computational algorithm for large-scale nonlinear time-delay systems. IEEE Trans. Systems Man Cybernet. SMC 14:1984;2-9.
2. Kharatishvili G.L. The maximum principle in the theory of optimal process with time-lags. Dokl. Akad. Nauk SSSR. 136:1961;39-42.
3. Inoue K., Akashi H., Ogino K., Sawaragi Y. Sensitivity approaches to optimization of linear systems with time-delay. Automatica. 17:1971;671-679.
4. Jamshidi M., Razzaghi M. Optimization of linear systems with input time-delay. Kybernetika. 11:1975;375-384.
5. Malek-Zavarei M. Near-optimum design of nonstationary linear systems with state and control delays. J. Optim. Theory Appl. 30:1980;73-88.
6. Palanisamy K.R., Rao G.P. Optimal control of linear systems with delays in state and control via Walsh functions. IEEE Proc. 130:1983;300-312.
7. Hwang C., Shih Y.P. Optimal control of delay systems via block pulse functions. J. Optim. Theory Appl. 45:1985;101-112.
8. Perng M.H. Direct approach for the optimal control of linear time-delay systems via shifted Legendre polynomials. Int. J. Control. 43:1986;1897-1904.
9. Horng I.R., Chou J.H. Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series. Int. J. Control. 41:1985;1221-1234.
10. Hwang C., Shih Y.P. Solution of Integral equations via Laguerre polynomials. Comput. Electron. Eng. 9:1982;123-129.
11. Razzaghi M., Razzaghi M., Arabshahi A. Solutions of convolution integral and Fredholm integral equation via double Fourier series. Appl. Math. Comput. 40:1990;215-224.
12. Datta K.B., Mohan B.M. Orthogonal Functions in Systems and Control. 1995;World Scientific, Singapore.
13. Razzaghi M., Marzban H.R. A hybrid analysis direct method in the calculus of variations. Int. J. Comput. Math. 75:2000;259-269.
14. Lancaster P. Theory of Matrices. 1969;Academic Press, New York.
15. Soliman M.A., Ray W.H. Optimal feedback control for linear quadratic systems having time delays. Int. J. Control. 15:1972;609-627.