Lavaei, Javad and Aghdam, Amir G.
(2007)
*Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions.*
Automatica, 43
(2).
pp. 274-280.
ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2006.08.013

## Abstract

In this paper, sampled-data control of a set of continuous-time LTI systems is considered. It is assumed that a predefined guaranteed continuous-time quadratic cost function, which is, in fact, the sum of the performance indices for all systems, is given. The main objective here is to design a decentralized periodic output feedback controller with a prespecified form, e.g., polynomial, piecewise constant, exponential, etc., which minimizes the above mentioned guaranteed cost function. This problem is first formulated as a set of matrix inequalities, and then by using a well-known technique, it is reformulated as a LMI problem. The set of linear matrix inequalities obtained provides necessary and sufficient conditions for the existence of a decentralized optimal simultaneous stabilizing controller with the prespecified form (rather than a general form). Moreover, an algorithm is presented to solve the resultant LMI problem. Finally, the efficiency of the proposed method is demonstrated in two numerical examples.

Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering |
---|---|

Item Type: | Article |

Refereed: | Yes |

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

Journal or Publication: | Automatica |

Date: | 2007 |

Digital Object Identifier (DOI): | 10.1016/j.automatica.2006.08.013 |

Keywords: | Simultaneous stabilization; H2 optimal control; Generalized sampled-data hold function; Decentralized; LMI |

ID Code: | 975164 |

Deposited By: | Danielle Dennie |

Deposited On: | 22 Jan 2013 13:45 |

Last Modified: | 18 Jan 2018 17:39 |

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