No abstract

No abstract

A mass-dashpot-spring system with proportional damping is considered in this paper. On the basis of an appropriate nonlinear mapping and the root-locus technique, the interlacing property of transmission zeros and poles is investigated if the columns of the input matrix are in the column space generated by the transpose of the output matrix. It is verified that transmission zeros interlace with poles on a specific circle and the nonpositive real axis segments for a proportional damping system. Finally, three examples are given to illustrate the property.

In literature, it is shown by Åström et al. that a sampled system may become nonminimum phase for sufficiently fast sampling, even though the continuous-time system is minimum phase. However, it is verified in this paper that the sampled system of a modal damping mass-dashpot-spring structural dynamics with sufficient condition B=CTΓ is minimum phase independent of the sampling period. From a control point of view, this significant result is essential and beneficial to the digital controllers design for a large-scale structure. In addition, it also provides a criterion to locate the sensors and actuators of a structural system.