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Keywords:
geometric control theory; disturbance decoupling; measurable input functions; model matching; unknown input observation
geometric control theory; disturbance decoupling; measurable input functions; model matching; unknown input observation
Summary:
In this paper the exact decoupling problem of signals that are accessible for measurement is investigated. Exploiting the tools and the procedures of the geometric approach, the structure of a feedforward compensator is derived that, cascaded to a linear dynamical system and taking the measurable signal as input, provides the control law that solves the decoupling problem and ensures the internal stability of the overall system.
References:
[1] Barbagli F., Marro, G., Prattichizzo D.: Previewed signal decoupling problem in discrete-time systems. In: Proc. 14th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2000), Perpignan 2000
[2] Basile G., Marro G.: Self-bounded controlled invariant subspaces: a straightforward approach to constrained controllability. J. Optim. Theory Appl. 38 (1982), 1, 71–81 DOI 10.1007/BF00934323 | MR 0687139 | Zbl 0471.93008
[3] Basile G., Marro G.: Controlled and Conditioned Invariants in Linear System Theory. Prentice Hall, Englewood Cliffs, NJy 1992 MR 1149379 | Zbl 0758.93002
[4] Basile G., Marro, G., Piazzi A.: A new solution to the disturbance localization problem with stability and its dual. In: Proc. ’84 International AMSE Conference on Modelling and Simulation, Vol. 1.2, Athens 1984, pp. 19–27
[5] Bhattacharyya S. P.: Disturbance rejection in linear systems. Internat. J. Systems Sci. 5 (1974), 7, 931–943 MR 0363580 | Zbl 0295.93003
[6] Marro G., Ntogramatzidis L.: A feedforward compensation scheme for perfect decoupling of measurable signals. In: Proc. 7th WSEAS CSCC International Multiconference (CSCC03), Corfu 2003
[7] Marro G., Prattichizzo, D., Zattoni E.: A unified algorithmic setting for signal-decoupling compensators and unknown input observers. In: Proc. 39th IEEE Conference on Decision and Control (CDC 2000), Sydney 2000
[8] Marro G., Zattoni E.: Feedforward and feedback model matching with stability in a unified geometric context. In: Proc. 41st IEEE Conference on Decision and Control (CDC2002), Las Vegas 2002
[9] Schumacher J. M.: On a conjecture of Basile and Marro. J. Optim. Theory Appl. 41 (1983), 2, 371–376 MR 0720781 | Zbl 0517.93009
[10] Trentelman H. L., Stoorvogel A. A., Hautus M.: Control Theory for Linear Systems. Springer (Communications and Control Engineering), 2001 MR 1851149 | Zbl 0963.93004
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