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

abstract

• 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.

authors

• Kravaris, Costas

published proceedings

• INTERNATIONAL JOURNAL OF CONTROL

author list (cited authors)

• Karafyllis, I., Kravaris, C., & Kalogerakis, N.

citation count

• 16

complete list of authors

• Karafyllis, Iasson||Kravaris, Costas||Kalogerakis, Nicolas

publication date

• September 2009

publisher

• Taylor & Francis  Publisher

published in

• International Journal of Control  Journal

keywords

• Chemostat Models
• Uniform Robust Global Feedback Stabilisation

Digital Object Identifier (DOI)

• 10.1080/00207170902912049

start page

• 2077

end page

• 2094

volume

• 82

issue

• 11

URL

• http://dx.doi.org/10.1080/00207170902912049