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Stability-equation method for sampled-data systems

✍ Scribed by Y.T. Tsay; K.W. Han

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 979 KB
Volume: 301
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(76)90085-5

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✦ Synopsis

This paper presents a new transformation by which the stability-equation method can be applied for analysis and design of sampled-data systems. New stability criteria applicable to systems with transfer function having both real and complex coeficients are presented. Several kinds of examples are considered with computer results given. Notation Bi m4 H(e) = aM+ + an_-(M_-l, for i#O = a, for i = 0 and n even = -a,+-( + an_-(M_-i, for any i polynomial in z-domain polynomial in &domain 1 =2 for 12 even = i+O6 fornodd imaginary stability equation Coefficient of the highest order term of real stability equation coefficient of the highest order term of imaginary stability equation n/2 for n even; (n-1)/2 for n odd order of a system real stability equation Laplace operator sampling period operator in z-domain real part of 2 imaginary part of 2 operator [A = tan (o/2)] = B +j(uJT) operator (0 = &+j6,) = 812 root-distribution index of P(z) = 0 root-distribution index of G(W) = 0

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