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Optimal l∞ disturbance attenuation and global stabilization of linear systems with bounded control

✍ Scribed by Mario Sznaier; Rodolfo Suárez; Stefano Miani; José Alvarez-Ramírez

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
165 KB
Volume
9
Category
Article
ISSN
1049-8923

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✦ Synopsis

This papers addresses the problem of globally minimizing the worst-case response to persistent l bounded disturbances in linear systems with bounded control action. The main result of the paper shows that in the state-feedback case the best performance among all stabilizing controllers (possibly discontinuous, nonlinear time varying) is achieved by a memoryless, continuous, feedback control law. In the case of open-loop stable plants the proposed control law renders the system globally stable and provides the best possible l attenuation in every neighbourhood of the origin. In the case of open-loop unstable plants this law optimizes performance in the region where a "nite l gain can be achieved.

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