Adaptive Output-Feedback Stabilization of 2 x 2 Linear Hyperbolic PDEs with Actuator and Sensor Delay
Journal article, Peer reviewed
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We derive an adaptive output-feedback stabilizing controller for a system of 2 × 2 linear hyperbolic partial differential equations (PDEs) with delayed, anti-collocated sensing and control. This is done by using a series of transformations to show that the system is equivalent to delay-free systems for which such controllers have been derived. The only required knowledge of the system is the system's transport delays, the sensor and actuation delays and the sign of the product of the actuation and sensing scaling constants. The theory is verified in a simulation.