Convergence of Approximations in Feedback Control of Structures
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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Convergence of linear quadratic regulator LQR problems in structures is discussed The abstract formulation of the system using a variational framework based on sesquilinear forms is considered. Since convergence theorems require uniform stabilizability of the finite dimensional approximating system, we present a detailed proof of a fundamental lemma due to Banks and Ito which can be used to easily verify this condition for many applications. Existing results for the well posedness of the infinite dimensional system and convergence of Galerkin approximations are summarized.
- Numerical Mathematics
- Structural Engineering and Building Technology