Semidiscrete approximation schemes for LQR control of equations in thermoelasitcity

We consider finite dimensional semidiscrete approximation of an LQR control problem for a model in linear thermoelasticity. A test problem is constructed for which the exact solution of the associated algebraic Riccati equation is known. We can then determine the exact feedback functional gain, and compare convergence behavior of different semidiscrete Galerkin approximation schemes. Numerical results are presented.

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