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MULTIVARIABLE FINITE SETTLING TIME STABILISATION: PARAMETRISATION AND PROPERTIES
E. Milonidis1 and N. Karcanias2
1 TEI of Thessaloniki, Dept. of Electronics, P.O. Box 145 61, GR-541 01 Sindos,
Thessaloniki, GR. e-mail: em@el.teithe.gr
2 Control Engineering Research Centre, City University, Northampton Square,
London ECIV 0HB, UK. e-mail: n.karcanias@city.ac.uk
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 Kuèera-Youla-Bonjiorno 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 l-one and l-infinity FSTS controllers are obtained using linear programming optimisation.
Keywords: finite settling time, strong stabilisation, parametrisation, tracking, disturbance rejection, optimisation
Session slot T-Tu-M16: New Approaches to Controller Design/Area code 2a : Control Design
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