Computation of the frequency-response gain of sampled-data systems via projection in the lifted domain

IEEE Transactions on Automatic Control

Volumn 47, Issue 9, 2002, Pages 1505-1510

  Mirkin, Leonid ^a   Palmor, Zalman J ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Frequency response; Lifting technique; Sampled data (SD) systems

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; HAMILTONIANS; MATRIX ALGEBRA; SAMPLED DATA CONTROL SYSTEMS; THEOREM PROVING; TRANSFER FUNCTIONS;

FREQUENCY-RESPONSE GAIN; LIFTING TECHNIQUE;

FREQUENCY RESPONSE;

EID: 0036742747     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.802760     Document Type: Article

References (12)

1. T. Chen and B. A. Francis Optimal Sampled-Data Control Systems. London, U.K.: Springer-Verlag, 1995.
2. K. Sugimoto, M. Suzuki, and A. Satoh "On γ-positive real sampled-data control systems," in Proc. MTNS'98 Symp., Padova, Italy, 1998, 409-412.
3. M. Araki, Y. Ito, and T. Hagiwara "Frequency response of sampled-data systems," Automatica, Vol. 32, no. 4, pp. 483-497, 1996.
4. Y. Yamamoto and P. P. Khargonekar "Frequency response of sampled-data systems," IEEE Trans. Automat. Contr., vol. 41, pp. 166-176, Feb. 1996.
5. B. Bamieh and J. B. Pearson "A general framework for linear periodic systems with applications to H∞ sampled-data control," IEEE Trans. Automat. Contr., vol. 37, pp. 418-435, Apr. 1992.
6. Y. Yamamoto, A. G. Madievski, and B. D. O. Anderson "Approximation of frequency response for sampled-data control systems," Automatica, vol. 35, pp. 729-734, 1999.
7. Y. Ito, T. Hagiwara, H. Maeda, and M. Araki "Bisection algorithm for computing the frequency response gain of sampled-data systems-Infinite-dimensional congruent transformation approach," IEEE Trans. Automat. Contr., vol. 46, pp. 369-381, Mar. 2001.
8. L. Mirkin and Z. J. Palmor "A new representation of parameters of lifted systems," IEEE Trans. Automat. Contr., vol. 44, pp.833-840, Apr. 1999.
9. T. Hagiwara, M. Suyama, and M. Araki "Upper and lower bounds of the frequency response gain of sampled-data systems," Automatica,, vol. 37, no. 9, pp. 1363-1370, 2001.
10. L. Mirkin and Z. J. Palmor (1995) A new representation of lifted systems with applications, Faculty Mech. Eng., Technion-IIT. [Online]. Available: http://leo.technion.ac.il/publications
11. I. Gohberg and M. A. Kaashoek "Time varying linear systems with boundary conditions and integral operators, I. The transfer operator and its properties," Int. Eq. Oper. Theory, vol. 7, pp. 325-391, 1984.
12. ∞ design of sampled-data systems using lifting--Part II: Properties of systems in the lifted domain," SIAM J. Control Optim., vol. 38, no. 1, pp. 197-218, 1999.