Optimal Controller and Actuator Design for Nonlinear Parabolic Systems
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Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is established for semilinear systems. Optimality equations are provided. The results are shown to apply to optimal controller/actuator design for the Kuramoto-Sivashinsky equation and also nonlinear diffusion.
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M. Sajjad Edalatzadeh, Kirsten Morris (2019). Optimal Controller and Actuator Design for Nonlinear Parabolic Systems. UWSpace. http://hdl.handle.net/10012/15231