# A ROBUST LIMITED-INFORMATION FEEDBACK FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS

### Alessio Franci, Antoine Chaillet

#### Abstract

We propose a variant of the recently introduced strategy for stabilization with limited information recently introduced in (Liberzon and Hespanha, 2005) and analyze its robustness properties. We show that, if the nominal plant can be made Input-to-State Stable (ISS) with respect to measurement errors, parameter uncertainty and exogenous disturbances, then this robustness is preserved with this quantized feedback. More precisely, if a sufficient bandwidth is available on the communication network, then the resulting closed-loop is shown to be semiglobally Input-to-State practically Stable (ISpS).

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#### Paper Citation

#### in Harvard Style

Franci A. and Chaillet A. (2010). **A ROBUST LIMITED-INFORMATION FEEDBACK FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS** . In *Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,* ISBN 978-989-8425-02-7, pages 45-53. DOI: 10.5220/0002950000450053

#### in Bibtex Style

@conference{icinco10,

author={Alessio Franci and Antoine Chaillet},

title={A ROBUST LIMITED-INFORMATION FEEDBACK FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS},

booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},

year={2010},

pages={45-53},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002950000450053},

isbn={978-989-8425-02-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,

TI - A ROBUST LIMITED-INFORMATION FEEDBACK FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS

SN - 978-989-8425-02-7

AU - Franci A.

AU - Chaillet A.

PY - 2010

SP - 45

EP - 53

DO - 10.5220/0002950000450053