Stability equation method for control systems with lags and distributed-parameters

✍ Scribed by Y.T. Tsay; K.W. Han

• Publisher: Elsevier Science
• Year: 1977
• Tongue: English
• Weight: 992 KB
• Volume: 303
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(77)90073-4

✦ Synopsis

In this paper, control systems with Jags and v,ith distributed-parameters are considered. First, the relation between the stability equation method and the theorem of Pontryagin for testing stability of the zeros of exponential polynomials is considered, then the distributions of roots of double-valued functions are analyzed, and finally the applications of the stability equation method for stability analysis of process control systems are presented.

Notation F(A) g,(o), g*(w) GO) H(S)

Im K LHP(S) P(S) Re i(o) A 8-M S) 0 real part of H(jA) function: of 0 imaginary of H(jA) a polynomial or a characteristic equation imaginary part parameter left half of S-plane polynomial of S real part Laplace operator function of 0, &J = & +& an operator (jA = S) root distribution index of H(S) = 0 in LHP, I-axis and RHP of S-plane a real variable.