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.
               
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