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Pole assignment in a disk for linear systems by static output feedback

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4 Author(s)
Garcia, G. ; Lab. d''Autom. et d''Anal. des Syst., CNRS, Toulouse, France ; Tarbouriech, S. ; da Silva, J.M.G. ; Castelan, E.B.

A systematic approach for pole assignment in a disk for continuous or discrete-time linear systems using a static output control law is proposed. It is shown that if the open-loop system satisfies certain structural conditions, a static output feedback gain can be easily computed, using a formula that simply involves the original system matrices and the parameters that define the disk. Among the conditions the system has to satisfy, the key one relies on a minimum phase argument. Square and non-square, proper and non-proper systems are considered. The main results are derived invoking the limiting behaviour of the optimal linear quadratic regulator for discrete-time systems. Some other implications are also presented.

Published in:

Control Theory and Applications, IEE Proceedings -  (Volume:151 ,  Issue: 6 )