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Design of ℓ1-optimal controllers with flexible disturbance rejection level

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4 Author(s)
Cadotte, P. ; Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada ; Mannor, S. ; Michalska, H. ; Boulet, B.

This note presents a new design methodology that allows for flexible management of the tradeoff between the ability of a system to attenuate disturbance signals versus its expected worst peak-to-peak amplification. The proposed strategy applies to linear time-invariant systems which are subject to persistent disturbance signals and combines a recently developed quasi-robust linear programming concept with a well-known ℓ1-optimal controller synthesis approach. The benefit of the resulting technique is demonstrated using an example.

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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 5 )