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arXiv · 1910.03124

Optimal Controller and Actuator Design for Nonlinear Parabolic Systems

M. Sajjad Edalatzadeh·Kirsten A. Morris
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Abstract

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 parabolic 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 A. Morris. 2019-10-07. Optimal Controller and Actuator Design for Nonlinear Parabolic Systems. https://arxiv.org/abs/1910.03124

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