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Output feedback control of linear two-time-scale systems

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1 Author(s)
Khalil, H.K. ; Michigan State University, East Lansing, MI, USA

Output feedback control of linear time-invariant singularly perturbed systems is studied. The set of all compensators that stabilize a singularly perturbed system while preserving its two-time-scale structure is parameterized. The parameterization is used to show that any two-frequency-scale stabilizing compensator can be asymptotically approximated by a compensator designed via a sequential procedure. In this procedure, a fast (high-frequency) compensator is designed first to stabilize the fast model of the system. Then, a strictly proper slow (low-frequency) compensator is designed to stabilize a modified slow model. The parallel connection of the two compensators forms a two-frequency-scale stabilizing compensator for the singularly perturbed system.

Published in:

Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 9 )

Date of Publication:

Sep 1987

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