论文信息 - Dissipative Control Systems and Disturbance Attenuation for Nonlinear H∞ Problems

Dissipative Control Systems and Disturbance Attenuation for Nonlinear H∞ Problems

Abstract. We characterize functions satisfying a dissipative inequality associated with a control problem. Such a characterization is provided in terms of an epicontingent solution, or a viscosity supersolution to a partial differential equation called Isaacs' equation. Links between supersolutions and epicontingent solutions to Isaacs' equation are studied. Finally, we derive (possibly discontinuous) disturbance attenuation feedback of the H∞ problem from contingent formulation of Isaacs' equation.

Marc Quincampoix | Halina Frankowska | H. Frankowska | M. Quincampoix

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