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Robust output regulation of $2\times 2$ hyperbolic systems: Control law and Input-to-State Stability

Robust output regulation of $2\times 2$ hyperbolic systems: Control law and Input-to-State Stability

We consider the problem of output feedback regulation for a linear first-order hyperbolic system with collocated input and output in presence of a general class of disturbances and noise. The proposed control law is designed through a backstepping approach incorporating an integral action. To ensure robustness to delays, the controller …