Robust adaptive passification and stabilization of linear systems

Robust adaptive strict G-passification is considered for linear time-invariant systems with norm-bounded uncertainty. First, parameter-dependent static outputfeedback and robust static output-feedback are proved to be equivalent if hyper minimum phase properties are fulfilled. Linear matrix inequality based conditions are formulated for proving these properties for all uncertain parameters. These results prove to be nonconservative with respect to complex-valued uncertainties and, illustrated on an example, only sufficient when dealing with real uncertain parameters. The second major contribution is the constructive design of adaptive controllers that are proved to guarantee the robust adaptive passivity and the robust closed loop stability under the previous conditions. An application example of robust adaptive controller design for criuse missile model is given.