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Stabilization of Burgers’ equation by constrained control

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Abstract The work addresses constrained control of Burgers’ equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system,… Click to show full abstract

Abstract The work addresses constrained control of Burgers’ equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged values of the observer. Constructive conditions are derived to ensure that the resulting closed-loop system is regionally exponentially stable. A numerical example demonstrates the efficiency of the results.

Keywords: equation constrained; burgers equation; control; constrained control; stabilization burgers

Journal Title: IFAC-PapersOnLine
Year Published: 2020

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