Algebraic-function theory in the analysis of multivariable feedback systems
Algebraic-function theory in the analysis of multivariable feedback systems
- Author(s): I. Postlethwaite
- DOI: 10.1049/piee.1979.0133
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): I. Postlethwaite 1
-
-
View affiliations
-
Affiliations:
1: Control and Management Systems Division, Engineering Department, University of Cambridge, Cambridge, UK
-
Affiliations:
1: Control and Management Systems Division, Engineering Department, University of Cambridge, Cambridge, UK
- Source:
Volume 126, Issue 6,
June 1979,
p.
555 – 562
DOI: 10.1049/piee.1979.0133 , Print ISSN 0020-3270, Online ISSN 2053-7891
The ‘characteristic locus design method’ is essentially a complex-variable approach, which relies heavily on algebraic-function theory for its rigorous foundation. In the paper, a summary is given of results developed during the past three years from an algebraic-function theoretic approach to the analysis of multivariable feedback systems.
Inspec keywords: multivariable control systems; control system analysis; stability; closed loop systems
Other keywords:
Subjects: Multivariable control systems; Control system analysis and synthesis methods; Stability in control theory
References
-
-
1)
- I. Postlethwaite . The asymptotic behaviour, the angles of departure, and the angles of approach of the characteristic frequency loci. Int. J. Control. , 677 - 695
-
2)
- G. Springer . (1957) , Introduction to Riemann surfaces.
-
3)
- A.G.J. Macfarlane . Return-difference and return-ratio matrices and their use in analysis and design of multivariable feedback control systems. Proc. IEE , 10 , 2037 - 2049
-
4)
- H.H. Rosenbrock . Design of multivariable control systems using the inverse Nyquist array. Proc. IEE , 11 , 1929 - 1936
-
5)
- A.G.J. MacFarlane , B. Kouvaritakis . A design technique for linear multivariable feedback systems. Int. J. Control. , 837 - 874
-
6)
- R. Saeks . On the encirclement condition and its generalization. IEEE Trans. , 780 - 785
-
7)
- A.G.J. MacFarlane , I. Postlethwaite . Characteristic frequency functions and characteristic gain functions. Int. J. Control. , 265 - 278
-
8)
- Postlethwaite, I.: 1978, Ph.D. thesis, University of Cambridge.
-
9)
- A.G.J. MacFarlane , N. Karcanias . Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex variable theory. Int. J. Control. , 33 - 74
-
10)
- A.G.J. MacFarlane , I. Postlethwaite . Extended principle of the argument. Int. J. Control. , 49 - 55
-
11)
- A.G.J. MacFarlane , I. Postlethwaite . The generalized Nyquist stability criterion and multivariable root loci. Int. J. Control. , 81 - 127
-
12)
- G.A. Bliss . (1933) , Algebraic functions.
-
13)
- MacFarlane, A.G.J., Kouvaritakis, B., Edmunds, J.M.: `Complex variable methods for feedback systems analysis and design', International forum on alternatives for multivariable control, 1977, national engineering consortium.
-
14)
- J.L. Willems . (1970) , Stability theory of dynamical systems.
-
15)
- V. Zakian , U. Al-Naib . Design of dynamical and control systems by the methodof inequalities. Proc. IEE , 11 , 1421 - 1427
-
16)
- I. Postlethwaite . A generalized inverse Nyquist stability criterion. Int. J. Control. , 325 - 340
-
17)
- H.H. Rosenbrock . (1970) , State space and multivariable theory.
-
18)
- J.F. Barman , J. Katzenelson . A generalized Nyquist-type stability criterion for multivariable feedback systems. Int. J. Control. , 593 - 622
-
19)
- D.H. Owens . Dyadic expansion for the analysis of linear multivariable systems. Proc. IEE , 7 , 713 - 716
-
20)
- H. Nyquist . The regeneration theory. Bell Syst. Tech. J. , 126 - 147
-
21)
- W.R. Evans . Graphical analysis of control systems. Trans. Am. Inst. Elect. Engrs. , 547 - 551
-
22)
- D.Q. Mayne . The design of linear multivariable systems. Automatica , 201 - 207
-
23)
- I. Postlethwaite . A note on the characteristic frequency loci of multivariable linear optimal regulators. IEEE Trans. , 757 - 760
-
24)
- A.G.J. MacFarlane , J.J. Belletrutti . The characteristic locus design method. Automatica , 575 - 588
-
25)
- E.G. Phillips . (1957) , Functions of a complex variable.
-
1)