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Designing stabilizing controllers for uncertain systems using the Riccati equation approach

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1 Author(s)
Schmitendorf, W.E. ; Dept. of Mech. Eng., Northwestern Univ., Evanston, IL, USA

A useful technique for determining a linear feedback control law stabilizes an uncertain system is the Riccati-equation approach of I.R. Petersen and C.V. Hollot (1986). They consider systems with time-varying uncertainty in the system matrix and obtain the constant feedback gains for the linear stabilizing controller in terms of the solutions of a Riccati equation. The technique is extended to include problems with time-varying uncertainty in the input connection matrix. Several examples are included to demonstrate the efficacy of this result

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Automatic Control, IEEE Transactions on  (Volume:33 ,  Issue: 4 )