Adding an integrator to backstepping: Output disturbances rejection for linear hyperbolic systems
Adding an integrator to backstepping: Output disturbances rejection for linear hyperbolic systems
We consider the output disturbance rejection problem for linear first-order hyperbolic systems with anti-collocated boundary input and output. We employ backstepping to construct the controller. We incorporate an integral action into the target system, yielding a Delay Differential Equation (DDE) and use a classical result to obtain a sufficient condition …