Observation et commande des systèmes de grande dimension

Abstract : In this dissertation, we investigated the problems of the estimation, $H_{\infty}$ filtering and the controller based-observer design for standard large scale systems and for algebro-differentials ones called also singular large scale systems. So, we began to propose methods for decentralized observer design with unknown interconnections for standard and singular systems. We search here to decouple the unknown interconnections and the dynamics of the observation error. The method is based on LMIs approach to find the gain matrix implemented in the observer matrices. The LMI formulation is based on Lyapunov approach and deduced from various bounded lemmas. We propose then, filters that permits to ensure, in addition to the stability, an $H_{\infty}$ performance criteria; we search to attenuate the perturbations effect, supposed unknown but of bounded energy, on the dynamics of the estimation error. We discussed after the study of interconnected observers for large systems, we have proposed a new method to design a new form of interconnected observers connectively stable. We are interested in the ability of a such observer to be robustly stable towards uncertainties in the interconnections between sub-observers. Finally, we are interested to the application of the proposed estimation methods to the control purpose. Indeed, in a first step, we propose a decentralized control based on a filter $H_{\infty}$ for a class of large scale standard systems with nonlinear interconnections. Then, Then, we focus our attention on the observer based control for singular systems to search for a control law which ensures an $H_{\infty}$ performance criteria. The approach is an extension of recent works of Kalsi and al. to the case of disturbed large scale systems. One of the main contributions of our work was to propose a new method of control design based on a filter $H_ {\infty} $ which generated by using less restrictive conditions than those introduced in the work of Kalsi and al. Thus, we have relaxed the constraint on the distance between the pair of matrices formed by the state matrix and input matrix and the set of pairs of matrices uncontrollable. In addition, we consider the maximization of the bound of the interconnection, which is very important in practice. Our approach is obtained into two steps. The first one consist on calculating the gain state feedback that meets the specifications of the closed loop system. The second one , then we reconstruct this control law using our previous results on the $H_{\infty}$ filtering. The approach has been validated on an example of a system composed of three interconnected electrical machines
Document type :
Theses
Complete list of metadatas

Cited literature [80 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/tel-01749648
Contributor : Thèses Ul <>
Submitted on : Thursday, March 29, 2018 - 12:22:10 PM
Last modification on : Wednesday, April 11, 2018 - 1:27:54 AM
Long-term archiving on : Friday, September 14, 2018 - 9:37:56 AM

File

DDOC_T_2012_0303_MANSOURI.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01749648, version 1

Collections

Citation

Mejda Mansouri. Observation et commande des systèmes de grande dimension. Autre. Université de Lorraine, 2012. Français. ⟨NNT : 2012LORR0303⟩. ⟨tel-01749648⟩

Share

Metrics

Record views

51

Files downloads

24