ON THE TRANSMISSION ZEROS AND STRUCTURALLY STABLE PROPERTIES WITHOUT STEADY ERRORS OF LINEAR MULTIVARIABLE TIME-INVARIANT SYSTEMS

WANG ENPING WANG CHAOZHU

Journal of Systems Science and Mathematical Sciences ›› 1982, Vol. 2 ›› Issue (3) : 196-206.

PDF(542 KB)
PDF(542 KB)
Journal of Systems Science and Mathematical Sciences ›› 1982, Vol. 2 ›› Issue (3) : 196-206. DOI: 10.12341/jssms09340
论文

ON THE TRANSMISSION ZEROS AND STRUCTURALLY STABLE PROPERTIES WITHOUT STEADY ERRORS OF LINEAR MULTIVARIABLE TIME-INVARIANT SYSTEMS

  • WANG ENPING WANG CHAOZHU
Author information +
History +

Abstract

This paper shows that the transmission zeros play an important role in a system withoutsteady errors and with structurally stable properties without steady errors.From the point ofview of the frequency domain,all our discussions are based on the Smith-McMillan form oflinear multivariable systems.The engineering sense of the“internal model principle”is revealedthrough the study of transmission zeros of the systems.The main results demonstrate that alinear multivariable time-invariant system possesses structurally stable properties without steadyerrors iff every numerator polynomialε_i(s)(i=1,2,…,min(r,m))of Smith-McMillanform of the closed loop transfer function matrix from f(s)to e(s)can be divided by α_1(s),the greatest invariant factor of N(S).The property thatε_i(s)can be divided by α_1(s)isstructurally stable.

Key words

Cite this article

Download Citations
WANG ENPING WANG CHAOZHU. ON THE TRANSMISSION ZEROS AND STRUCTURALLY STABLE PROPERTIES WITHOUT STEADY ERRORS OF LINEAR MULTIVARIABLE TIME-INVARIANT SYSTEMS. Journal of Systems Science and Mathematical Sciences, 1982, 2(3): 196-206 https://doi.org/10.12341/jssms09340
PDF(542 KB)

290

Accesses

0

Citation

Detail

Sections
Recommended

/