Imperial College London
Portrait Picture

ProfessorSergeiChernyshenko

Faculty of Engineering, Department of Aeronautics

Chair in Aerodynamics
 
 
 
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Contact

 

+44 (0)20 7594 5548s.chernyshenko Website

 
 
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Location

 

211aCity and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Huang:2015:10.1109/ECC.2015.7331034,
author = {Huang, D and Chernyshenko, S and Lasagna, D and Tutty, O},
doi = {10.1109/ECC.2015.7331034},
pages = {3244--3249},
publisher = {IEEE},
title = {Long-time average cost control of polynomial systems: a sum of squares approach},
url = {http://dx.doi.org/10.1109/ECC.2015.7331034},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - This paper provides a numerically tractable approach for long-time average cost control of nonlinear dynamical systems with polynomials of system state on the right-hand side. First, a recently-proposed method of obtaining rigorous bounds of long-time average cost is outlined for the uncontrolled system, where the polynomial constraints are strengthened to be sum-of-squares and formulated as semi-definite programs. As such, it allows to use any general (polynomial) functions to optimize the bound. Then, a polynomial type state feedback controller design scheme is presented to further suppress the long-time average cost. The derivation of state feedback controller is given in terms of the solvability conditions of state-dependent bilinear matrix inequalities. Finally, the mitigation of oscillatory vortex shedding behind a cylinder is addressed to illustrate the validity of the proposed approach.
AU  - Huang,D
AU  - Chernyshenko,S
AU  - Lasagna,D
AU  - Tutty,O
DO  - 10.1109/ECC.2015.7331034
EP  - 3249
PB  - IEEE
PY  - 2015///
SP  - 3244
TI  - Long-time average cost control of polynomial systems: a sum of squares approach
UR  - http://dx.doi.org/10.1109/ECC.2015.7331034
UR  - http://hdl.handle.net/10044/1/32392
ER  -
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