Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2005.11.1.001

Time Discretization of Nonlinear System with Variable Time-delay Input Using Taylor Series Expansion  

Choi Hyung Jo (전북대학교 메카트로닉스공학과)
Park Ji Hyang (삼성 SDI)
Lee Su Young (전북대학교 전자정보공학부)
Chong Kil To (전북대학교 전자정보공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.11, no.1, 2005 , pp. 1-8 More about this Journal
Abstract
A new discretization algorithm for nonlinear systems with delayed input is proposed. The algorithm is represented by Taylor series expansion and ZOH assumption. This method is applied to the sampled-data representation of a nonlinear system with the time-delay input. Additionally, the delay in input is time varying and its amplitude is bounded. The maximum time-delay in input is assumed to be two sampling periods. The mathematical expressions of the discretization method are presented and the ability of the algorithm is tested for some of the examples. The computer simulation proves the proposed algorithm discretizes the nonlinear system with the variable time-delay input accurately.
Keywords
time delay; discretization; nonlinear system; taylor series;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 M. Vidyasagar, 'Nonlinear systems analyses.' Prentice Hall, Englewood Cliffs, 1978
2 N. Kazantzis, K. T. Chong, J. H. Park, A. G. Parlos, 'Control-relevant discretization of nonlinear systems with time-delay using taylor-lie series', Journal of ASME, 2003   DOI
3 B. R. Holt, and M. Morari, 'Design of resilient processing plants-V.: The effect of deadtime on dynamic resilience.' Chem. Eng. Sci., pp. 1229-1237, 1985   DOI   ScienceOn
4 임흥재, 정완균, 서일홍, '시간 지연이 있는 양방향 원격 제어 시스템의 예측 제어', 제어자동화시스템공학 논문지 제6권, 제4호, pp. 295-304, 4, 2000   과학기술학회마을
5 C. T. Chen, 'Linear system theory and design. holt', Rinhart and Winston, Orlando 1984
6 S. Hohmann, A. Konrad, and Y. Krebs, 'Exact sampled-data representation of continuous-time nonlinear systems by finite polynomials with exactly determined coefficients', Proceedings of the 2001 American Control Conference, pp. 1628-1633, 2001   DOI
7 Franklin, G. F., Powell, J. D. and Workman, M. L., 'Digital control of dynamic system.' Addison-Wesley, New York 1988
8 R. J. Vaccaro, 'Digital control.' McGraw-Hill, New York 1995
9 A. Isidori, 'Nonlinear control systems: an introduction', Springer-Verlag, Berlin, 1989
10 N. Kazantzis, and C. Kravaris, 'System-theoretic properties of sampled-data representations of nonlinear systems obtained via taylor-lie series', Int. J. Control, pp. 997-1020, 1997   DOI
11 N. Kazantzis, and C. Kravaris, 'Time-discretization of nonlinear control systems via taylor methods, Comp. Chem. Engn. pp. 763-784,1999   DOI   ScienceOn
12 M. Boutayeb, 'Observer design for lienar time-delay systems', System & Control Letters, 2001   DOI   ScienceOn
13 R. C. Luo, L.-Y. Chung, 'Stabilization for linear uncertain systems with time latency', IEEE Transactions on Industrial electronics, 2002   DOI   ScienceOn
14 M. Nihtila, T. Damak, J. P. Babary, 'On-line estimation of the time delay via orthogonal collocation', Simulation Practice and Theory, 1997
15 노영훈, 오준호, '시간지연 시스템에서의 불확실성 추정을 갖는 슬라이딩 모드제어', 제어자동화시스템공학 논문지, 제6권, 제11호,pp. 963-967, 11, 2000   과학기술학회마을
16 송성호, 박섭형, 이봉영, '시변 시간 지연을 갖는 불확실한 이산 시간 선형 시스템의 견실 안정성', 제어자동화시스템공학 논문지, 제5권, 제6호,pp. 641-646, 8,1999   과학기술학회마을