Boundary control of partial differential equations using frequency domain optimization techniques

Pierre Apkarian (1) , Dominikus Noll (2)

1 DTIS, ONERA, Université de Toulouse [Toulouse]
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We present a frequency domain based H ∞-control strategy to solve boundary control problems for systems governed by parabolic or hyperbolic partial differential equation, where controllers are constrained to be physically implementable and of simple structure suited for practical applications. The efficiency of our technique is demonstrated by controlling a reaction-diffusion equation with input delay, and a wave equation with boundary anti-damping.

Mots clés: BOUNDARY CONTROL OF PDEs; FREQUENCY-DOMAIN DESIGN; CONVECTION-DIFFUSION; WAVE EQUATION; STRUCTURED Hinfini; INFINITE-DIMENSIONAL SYSTEMS

Mots clés: CONTROLE FRONTIÈRE; FREQUENCY; WAVE; INFINITE

Domaines: Sciences de l'ingénieur [physics]; Physique [physics]; Mathématiques [math]; Informatique [cs]

Pierre Apkarian, Dominikus Noll. Boundary control of partial differential equations using frequency domain optimization techniques. Systems & Control Letters, 2020, 135 (104577), pp.1-12. ⟨10.1016/j.sysconle.2019.104577⟩. ⟨hal-02475721⟩