On the zeros, initial undershoot, and relative degree of lumped-mass structures

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 394-399

  Hoagg, Jesse B ^a   Bernstein, Dennis S ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); POSITION CONTROL; TRANSFER FUNCTIONS; VELOCITY CONTROL;

LUMPED-MASS STRUCTURES; SINGLE-INPUT SINGLE-OUTPUT (SISO);

CONTROL SYSTEM ANALYSIS;

EID: 34047226390     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1655388     Document Type: Conference Paper

References (14)

1. J. C. Doyle, B. A. Francis, and A. R. Tannenbaum, Feedback Control Theory. New York: Macmillan, 1992.
2. D. S. Bernstein, "What makes some control problems hard?" IEEE Contr. Sys. Mag., vol. 22, pp. 8-19, 2002.
3. E. H. Maslen, "Positive real zeros in flexible beams," Shock and Vibration, vol. 2, pp. 429-435, 1995.
4. D. K. Miu, Mechatronics. New York: Springer-Verlag, 1993.
5. T. S. Wu, "Structural analysis by system theory," Developments in Theoretical and Applied Mechanics, vol. 2, pp. 605-628, 1964.
6. K. Arczewski, "Applications of graph theory to the mathematical modelling of a class of rigid body systems," J. Franklin Institute, vol. 327, no. 2, pp. 209-223, 1990.
7. R. Merris, "Laplacian matrices and graphs: a survey," Linear Algebra Appl., vol. 177 - 178, pp. 143-176, 1994.
8. A. Berman, M. Neumann, and R. J. Stern, Nonnegative Matrices in Dynamic Systems. New York: Wiley, 1989.
9. A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences. New York: Academic Press, 1979.
10. D. S. Bernstein, Matrix Mathematics. Princeton University Press, 2005.
11. D. S. Bernstein and S. P. Bhat, "Lyapunov stability, semistability, and asymptotic stability of matrix second-order systems," Trans. ASME, vol. 117, pp. 145-152, 1995.
12. T. Norimatsu and M. Ito, "On the zero non-regular control system," J. Inst. Elec. Eng. Japan, vol. 81, pp. 566-575, 1961.
13. T. Mita and H. Yoshida, "Undershooting phenomenon and its control in linear multivariable servomechanisms," IEEE Trans. Autom. Contr., vol. 26, pp. 402-407, 1981.
14. M. Vidyasagar, "On undershoot and nonminimum phase zeros," IEEE Trans. Autom. Contr., vol. 31, no. 5, p. 440, 1986.