2010
EMSS 2010 Proceeding
Hâ?? optimal control of discrete-time singularly perturbed systems
Authors: Mostapha Bidani, Mohamed Wahbi
Abstract
The proposed paper provides new algorithms for solving the H?-optimal control of discrete-time singularly perturbed systems by using the exact decomposition scheme. In one hand, we use the bilinear transformation to generate continous-time generalized algebraic Riccati equation. On the other hand, we take advantage of the results proposed in (Hsieh and Gajic 1998), and (Bidani, Radhy and Bensassi 2002), to derive new schemes for transforming the pure-slow and pure-fast nonsymmetric discrete-time Riccati equations (NDRE) into continuous-time ones. Two scheme are based on reducing the backward into forward Hamiltonian matrix (Bidani, Radhy and Bensassi 2002). The others ones use the bilinear transformation (Lim, Gajic and Shen 1995).
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