E. Villarreal, Maxwell C. Jácome, Edpo Rodrigues de Morais, J. V. Queiroz, W. M. Rodrigues
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OPTIMIZATION BASED OUTPUT FEEDBACK CONTROL DESIGN IN DESCRIPTOR SYSTEMS
This article proposes an algorithm to minimize the Frobenius norm of output feedback matrix of a regular, linear time invariant, continuous time descriptor system. The resulting gain matrix ensures that the closed loop system is impulse-free and the associated non singular matrix is well-conditioned. By characterizing a subset of the set of non singular matrices through a linear matrix inequality, the related optimization is formulated as a semi-definite program.