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Receding horizon optimal control for infinite dimensional systems. (English) Zbl 1066.49020
Summary: The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier-Stokes equations, semilinear wave equations and reaction diffusion systems are given.

MSC:
49M30 Other numerical methods in calculus of variations (MSC2010)
49N35 Optimal feedback synthesis
93C20 Control/observation systems governed by partial differential equations
93D15 Stabilization of systems by feedback
49K20 Optimality conditions for problems involving partial differential equations
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