ℒ2 Observer Design for Singular Lypschitz Linear Parameter-Varying (S-LPV) Systems

The main contribution of this paper is an observer design based on ℒ
2
optimization for a class of Singular Lypschitz Linear Parameter-Varying (S-LPV). Thanks to a strict LMI solution, the observer not only relaxes the existing UI-decoupling constraint in the conventional UI observer but also ensures the stability of estimation dynamics under the presence of Lipschitz nonlinearity and time-varying parameters. This proposed synthesis allows to extend the results of the UI Observer for a large class of system (singular, nonlinearity, parameter variant) and by relaxing the UI decoupling condition. Finally, a numerical example is illustrated to highlight the advantages and drawbacks of the proposed design.