Disturbance Rejection Problem with Stability By Static Output Feedback Of Linear Continuous Time System
Keywords:
Linear system, Disturbance rejection problem, (AB)-invariant subspace, (CA)-invariant subspaceAbstract
Disturbance rejection problem with stability by static output feedback of linear-time invariant continuous time system is solvable if there is found a static output feedback control law, u(t) = Ky(t) (if possible), such that disturbance q(t) has no in°uence in controlled output z(t). So, it is needed the necessary and su±cient condition disturbance rejection problem is solvable. By using the definition and characteristics of (A, B)-invariant subspace, and (C, A)-invariant subspace, then it will be find the necessary and su±cient condition disturbance rejection problem of that system will be solved if and only if maximal element of a set of (C, A)-invariant is an (A, B)-invariant subspace that internally stabilizable and externally stabilizable.
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References
Basile G. and Marro G. Controlled and Conditioned Invariants in Linear System Theory. Prentice-Hall, 1992
Burghes D.N. and Graham A. Introduction to control Theory Including Optimal Control. John Wiley and Sons. Inc, New York, 1980
Dorea C.E.T. and Milani B.E.A. Disturbance Decoupling via Static Output Feedback for Particular Classes of Linear Systems, 2000 (http:// www.univperp.r/mtns2000/articles/B221.pdf)
Decarlo R.A. Linear System: A State Variable Approach with Numerical Implementation. Prentice-Hall, New York, 1989
Goldberg J.L. Matrix Theory with Application. Mc Graw-Hall. Inc, New York, 1991
Jacob B. Linear Algebra. W.H. Freeman and Company, New York, 1990
Lang. Linear Algebra. Columbia University, New York, 1980
Olsder G.J. Mathematical System Theory. Deltse Uitgevers, Maatschappij, Netherlands, 1994
Wonham W.M. Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York, 1979



