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Nonlinear versus linear control in the robust stabilizability of linear uncertain systems via fixed-order output feedback

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2 Author(s)
Savkin, A.V. ; Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia ; Petersen, I.R.

This paper considers the problem of robustly stabilizing an uncertain system via fixed-order output feedback control. This problem is considered by defining a notion of robust stabilizability with a quadratic storage function. This notion is closely related to the notion of quadratic stabilizability. The main result of the paper shows that if an uncertain system is robustly stabilizable with a quadratic storage function via a nonlinear time-varying controller, then it will also be robustly stabilizable with a quadratic storage function via a linear time-invariant controller of the same order

Published in:
Automatic Control, IEEE Transactions on  (Volume:41 ,  Issue: 9 )

Date of Publication: Sep 1996

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