Boundary control of partial differential equations using frequency\n domain optimization techniques

2019/05/16 by Pierre Apkarian, Apkarian, Pierre, Dominikus Noll +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1905.06786

openalex publication_date 2019/05/16 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We present a frequency domain based H_\∞-control strategy to solve\nboundary control problems for systems governed by parabolic or hyperbolic\npartial differential equation, where controllers are constrained to be\nphysically implementable and of simple structure suited for practical\napplications. The efficiency of our technique is demonstrated by controlling a\nreaction-diffusion equation with input delay, and a wave equation with boundary\nanti-damping.\n

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