Lavaei, Javad and Aghdam, Amir G.
(2010)
*Performance improvement of robust controllers for polynomially uncertain systems.*
Automatica, 46
(1).
pp. 110-115.
ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2009.10.007

## Abstract

This paper is concerned with the high-performance robust control of discrete-time linear time-invariant (LTI) systems with semi-algebraic uncertainty regions. It is assumed that a robustly stabilizing static controller is given whose gain depends polynomially on the uncertain variables. The problem of tuning this parameter-dependent gain with respect to a prescribed quadratic cost function is formulated as a sum-of-squares (SOS) optimization. This method leads to a near-optimal controller whose performance is better than that of the initial controller. It is shown that the results derived in the present work encompass the ones obtained in a recent paper. The efficacy of the results is elucidated by an example.

Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering |
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Item Type: | Article |

Refereed: | Yes |

Authors: | Lavaei, Javad and Aghdam, Amir G. |

Journal or Publication: | Automatica |

Date: | 2010 |

Digital Object Identifier (DOI): | 10.1016/j.automatica.2009.10.007 |

Keywords: | Optimal controller synthesis for systems with uncertainties; Robust control; Convex optimization |

ID Code: | 975170 |

Deposited By: | Danielle Dennie |

Deposited On: | 22 Jan 2013 14:12 |

Last Modified: | 18 Jan 2018 17:39 |

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