Multivariable Finite Settling Time Stabilisation: Parametrisation and Properties
نویسندگان
چکیده
The problem of Finite Settling Time Stabilisation (FSTS) for multivariable, discrete-time systems is discussed in this paper. The approach is algebraic and the problem reduces to the solution of a polynomial Diophantine equation; many of the solvability conditions are expressed as standard linear algebra tests. A Kučera-YoulaBonjiorno type parametrisation of the family of the FSTS controllers is obtained and necessary and sufficient conditions for strong FSTS are derived. Finally, solvability conditions for FST tracking and disturbance rejection are given and l1 and l∞ FSTS controllers are obtained using linear programming optimisation. Copyright © 2002 IFAC
منابع مشابه
Finite settling time stabilisation of a family of discrete-time systems
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