“Robustness Analysis of a Class of Decentralized Control Systems”

Authors: Ole A. Solheim,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1986, Vol 7, No 3, pp. 145-153.

Keywords: Robustness, decentralized control, decentralized estimation, singular values, block Gerschgorin theorem

Abstract: The paper presents a method for analysing the robustness properties of a class of decentralized control systems. Perturbations both in local and in interconnection parameters are dealt with. The method is based on the use of singular values. Several numerical examples are presented to illustrate the method.

PDF PDF (747 Kb)        DOI: 10.4173/mic.1986.3.3

References:
[1] DARWISH, M., SOLIMAN, H.M., FANTIN, J. (1979). Decentralized stabilization of large-scale dynamic systems, IEEE Trans. Syst. Man. Cybernet., 9, 717-720 doi:10.1109/TSMC.1979.4310111
[2] DOYLE, J.C., STEIN, G. (1981). Multivariable feedback design: Concepts for a classical/modern synthesis, IEEE Trans. Autom. Contr., 26, 4-16 doi:10.1109/TAC.1981.1102555
[3] LEE, W.H., GULLY, S.W., ETERNO, J.S., SANDELL, N.R. (1982). Structural information in robustness analysis, American Control Conference.ACC, Arlington, Va, June 14-46, 1982.
[4] LEHTOMAKI, N.A., CASTANON, D., LEVY, B., STEIN, G., SANDELL, N.R., ATHANS, (1981). Robustness tests utilizing the structure of modelling errors, 20th CDC, San Diego, Dec. 16-18, 1981.
[5] MACFARLANE, A.G.J. (1981). Characteristic and principal gains and phases and their use as multivariable control design tools, AGARD Lecture series No. 117, Paper No. 2, 1-34.
[6] SOLHEIM, O.A. (1972). Design of optimal control systems with prescribed eigenvalues, Int. J. Control, 15, 142-160 doi:10.1080/00207177208932136
[7] SOLHEIM, O.A. (1979). Design of a class of optimal controller via low-order Riccati equations, IFAC Symposium on Computer Aided Design of Control Systems. Zürich, Aug. 29-31, 1979.
[8] SOLHEIM, O.A. (1980). On the use of a block analogue of the Gerschgorin circle theorem in the design of decentralized control of large-scale systems, IFAC Symposium on Large Scale Systems, Toulouse, June 24-26,1980.
[9] SUNDARESHAN, M.K. (1977). Generation of Multilevel Control and Estimation Schemes for Large-Scale Systems: A Perturbational Approach, IEEE Transactions on Systems Man and Cybernetics, pp. 144-52 doi:10.1109/TSMC.1977.4309678


BibTeX:
@article{MIC-1986-3-3,
  title={{Robustness Analysis of a Class of Decentralized Control Systems}},
  author={Solheim, Ole A.},
  journal={Modeling, Identification and Control},
  volume={7},
  number={3},
  pages={145--153},
  year={1986},
  doi={10.4173/mic.1986.3.3},
  publisher={Norwegian Society of Automatic Control}
};