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On the solution of a class of algebraic Riccati equations with repeated unstable eigenvalues

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1 Author(s)
Rojas, A.J. ; ARC Centre of Excellence for Complex Dynamic Syst. & Control, Univ. of Newcastle, Newcastle, NSW, Australia

In the present paper we obtain a closed-form solution for the class of continuous-time algebraic Riccati equations (AREs) with vanishing state weight. The AREs in such a class solve a minimum energy control problem. The present work extends on previous preliminary results by considering the more challenging case of repeated unstable eigenvalues. The obtained closed-form solution gives insight on issues such as loss of controllability and it might also prove comparable in terms of numerical precision over current solving algorithms.

Published in:

American Control Conference (ACC), 2010

Date of Conference:

June 30 2010-July 2 2010

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