Sojoudi, Somayeh and Aghdam, Amir G.
(2010)
*Interconnection-based performance analysis for a class of decentralized controllers.*
Automatica, 46
(5).
pp. 796-803.
ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2010.02.005

## Abstract

This paper is concerned with decentralized controller design for large-scale interconnected systems of pseudo-hierarchical structure. Given such a system, one can use existing techniques to design a decentralized controller for the reference hierarchical model, obtained by eliminating certain weak interconnections of the original system. Although this indirect controller design is appealing as far as the computational complexity is concerned, it does not necessarily result in satisfactory performance for the original pseudo-hierarchical system. An LQ cost function is defined in order to evaluate the performance discrepancy between the pseudo-hierarchical system and its reference hierarchical model under the designed decentralized controller. A discrete Lyapunov equation is then solved to compute this performance index. However, due to the large-scale nature of the system, this equation cannot be handled efficiently in many real-world systems. Thus, attaining an upper bound on this cost function can be more desirable than finding its exact value, in practice. For this purpose, a novel technique is proposed which only requires solving a simple LMI optimization problem with three variables. The problem is then reduced to a scalar optimization problem, for which an explicit solution is provided. It is also shown that when the original model is exactly hierarchical, then the upper bounds obtained from the LMI and scalar optimization problems will both be equal to zero.

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: | Sojoudi, Somayeh and Aghdam, Amir G. |

Journal or Publication: | Automatica |

Date: | 2010 |

Digital Object Identifier (DOI): | 10.1016/j.automatica.2010.02.005 |

Keywords: | Decentralized control; Optimization; Matrix inequality |

ID Code: | 975173 |

Deposited By: | Danielle Dennie |

Deposited On: | 22 Jan 2013 14:26 |

Last Modified: | 18 Jan 2018 17:39 |

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