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Part of the book series: NATO ASI Series ((NATO ASI F,volume 47))

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Abstract

The structural design methods for decentralized control systems determine if the structure of the system to be controlled and the proposed local feedback loops are sufficient to make controllability and observability possible under nearly all conditions.

The structure of the system is represented by a digraph of which the nodes represent the state variables. The structural design methods are based on the Boolean form of the matrices describing the system and therefore they imply only simple Boolean matrix operations. The rank conditions included in the Kalman criteria for controllability and observabili ty are substi tuted by term rank conditions in the structural case.

The structural design methods for control systems supplement the numerical methods, which determines the specified dynamical system behaviour.

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References

  • Mason, S.J. (1953) Feedback Theory - Some Properties of Signal Flow Graphs. Proc. IRE 41, pp 1144–56.

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  • Mason, S.J. (1956) Feedback Theory - Further Properties of Signal Flow Graphs. Proc. IRE, p 920.

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  • Harary, F. (1959) A Graph Theoretic Method for the Complete Reduction of a Matrix with a view towards Finding its Eigen values. J. Math. and Phys. 38. pp 104–111.

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  • Kalman, R.E. (1960) On the General Theory of Control Systems. Proc. 1st IFAC Congress, Moscow 1960. Vol 1, pp 481–92. Butterworth, London.

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  • Evans, F.J. & Larsen, P. Martin (1983) Structural Design of Control Systems. Lecture Notes, Electric Power Eng. Dept. Tech.Univ. DK

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© 1988 Springer-Verlag Berlin Heidelberg

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Larsen, P.M., Evans, F.J. (1988). Structural Design of Decentralized Control Systems. In: Denham, M.J., Laub, A.J. (eds) Advanced Computing Concepts and Techniques in Control Engineering. NATO ASI Series, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83548-3_10

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  • DOI: https://doi.org/10.1007/978-3-642-83548-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83550-6

  • Online ISBN: 978-3-642-83548-3

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