Some LMIs for the design of dynamic output feedback contractive controllers for a class of nonlinear systems
Résumé
This paper deals with the problem of designing an output feedback controller for the class of linear systems interconnected with a nonlinearity satisfying a monotonicity assumption. The control design objective is to ensure the incremental exponential stability of the closed loop. First, a set of sufficient conditions by relying on a design based on Linear Matrix Inequalities (LMIs) are proposed. The results are then expanded to include in the design a filter to cancel additional (unwanted) harmonics of the steady-state solution. The proposed results are validated via a simplified example of application.
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