Linear Matrix Inequality Design of Observer-Based Controllers for port-Hamiltonian Systems

International audienceThe design of an observer-based state feedback controller forport-Hamiltonian (pH) systems is addressed using linear matrixinequalities (LMIs). The controller is composed of the observer andthe state feedback. By passivity, the asymptotic stability of theclosed-loop system is guaranteed even if the controller isimplemented on complex physical systems such as the ones defined byinfinite-dimensional or nonlinear models. An infinite-dimensionalTimoshenko beam model and a microelectromechanical system are usedto illustrate the achievable performances using such an approachunder simulations.&nbsp