Principal gains and phases: insensitive robustness measures for assessing the closed-loop stability property
Principal gains and phases: insensitive robustness measures for assessing the closed-loop stability property
- Author(s): B. Kouvaritakis and I. Postlethwaite
- DOI: 10.1049/ip-d.1982.0052
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- Author(s): B. Kouvaritakis 1 and I. Postlethwaite 1
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View affiliations
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Affiliations:
1: Department of Engineering Science, University of Oxford, Oxford, UK
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Affiliations:
1: Department of Engineering Science, University of Oxford, Oxford, UK
- Source:
Volume 129, Issue 6,
November 1982,
p.
233 – 241
DOI: 10.1049/ip-d.1982.0052 , Print ISSN 0143-7054, Online ISSN 2053-793X
In the paper, the use of principal gains and phases in assessing the robustness of the closed-loop stability property is examined. An improved version of the recently developed principal gain-phase method is presented, and conditions are derived under which the technique is insensitive to small perturbations.
Inspec keywords: stability; closed loop systems; multivariable control systems
Other keywords:
Subjects: Stability in control theory; Multivariable control systems
References
-
-
1)
- A.G.J. MacFarlane , I. Postlethwaite . The generalised Nyquist stability criterion and multivariable root loci. Int. J. Control , 81 - 127
-
2)
- M.G. Safonov , A.J. Laub , G. Hartmann . Feedback properties ofmultivariable systems: The role and use of the return difference matrix. IEEE Trans. , 47 - 65
-
3)
- F.R. Gantmacher . (1959) , Theory of matrices.
-
4)
- J.H. Wilkinson . (1965) , The algebraic eigenvalue problem.
-
5)
- I. Postelthwaite , J.M. Edmunds , A.G.J. MacFarlane . Principal gains and principal phases in the analysis of linear multivariable feedback systems. IEEE Trans. , 32 - 46
-
6)
- Daniel, R.W.: `Regulators and the design of linear multivariable control systems', 1981, Cambridge thesis, .
-
7)
- B. Kouvaritakis , R. Husband . Multivariable circle criteria: An approach based on sector conditions. Int. J. Control , 227 - 254
-
8)
- M. Athans . (1981) , Views on linear time-variant multivariable control system design.
-
9)
- F.L. Bauer , C.T. Fike . Norms and exclusion theorems. Numer. Math. , 137 - 141
-
10)
- R.W. Daniel . Sensitivity of principal phases. Electron. Lett. , 17 , 754 - 755
-
11)
- I. Postlethwaite . Sensitivity of the characteristic gain loci. Automatica
-
12)
- C.A. Desoer , Y.T. Wang . On the generalised Nyquist stability criterion. IEEE Trans. , 187 - 196
-
13)
- J.C. Doyle , G. Stein . Multivariable feedback design: Concepts for aclassical/modern synthesis. IEEE Trans. , 4 - 16
-
14)
- Lehtomaki, N.A.: `Practical robustness measures in multivariable control system analysis', 1981, thesis, Massachusetts Institute of Technology.
-
15)
- G.W. Stewart . (1976) , Introduction to matrix computations.
-
16)
- A.R. Amir-Moez , A. Horn . Singular values of a matrix. Am. Math. Monthly , 742 - 748
-
17)
- H.H. Rosenbrock . (1974) , Computer-aided design of control systems.
-
18)
- M. Marcus , H. Minc . (1964) , A survey of matrix theory and matrix inequalities.
-
1)