| Article ID: | iaor2012628 |
| Volume: | 152 |
| Issue: | 3 |
| Start Page Number: | 786 |
| End Page Number: | 798 |
| Publication Date: | Mar 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Mahmoud Magdi |
| Keywords: | programming: nonlinear, programming: dynamic, heuristics |
An efficient state‐estimation scheme is developed within the LMI framework for robust decentralized state estimation of systems composed of linear dynamic subsystems coupled by static nonlinear interconnections satisfying quadratic constraints. The procedure utilizes a general linear estimator structure, and consists of two steps, the first giving a block‐diagonal Lyapunov matrix together with the robustness degree, and the second determining the filter parameters. Extension to the case of additive filter gain perturbations is established and numerical examples are provided to illustrate the applicability of the method.