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Relaxed Lyapunov criteria for robust global stabilisation of non-linear systems

Karafyllis Iason, Costas Kravaris, Kalogerakis Nikos

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/57A82D02-E2EB-490A-ACD5-76C5EFC8F457
Έτος 2009
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Λεπτομέρειες
Βιβλιογραφική Αναφορά I.Karafyllis, C.Kravaris , and N. Kalogerakis ,"Relaxed Lyapunov criteria for robust global stabilisation of non-linear systems," International Journal of Control, vol. 82, no. 11, pp. 2077-2094, Sept. 2009. doi: 10.1080/00207170902912049 https://doi.org/10.1080/00207170902912049
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Περίληψη

The notion of the restricted Robust Control Lyapunov Function (RCLF) is introduced and is exploited for the design of robust feedback stabilisers for non-linear systems. Particularly, it is shown for systems with input constraints that ‘restricted’ RCLFs can be easily obtained, while RCLFs are not available. Moreover, it is shown that the use of ‘restricted’ RCLFs usually results in different feedback designs from the ones obtained by the use of the standard RCLF methodology. Using the ‘restricted’ RCLFs feedback design methodology, a simple controller that guarantees robust global stabilisation of a perturbed chemostat model is provided.

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