A new method for H2 guaranteed cost control problem of singularly perturbed uncertain systems

This paper deals with the H₂ guaranteed cost control problem for a singularly perturbed norm-bounded uncertain system. This is an extension of the work by Garcia et al. (1998) in the sense that the state matrix and input matrix are allowed to be uncertain and the state matrix A₂₂ for the fast subsystem may be singular. First, we construct a high-order accurate controller which is based on the exact decomposition technique. Next, we propose an E-independent controller by solving the reduced-order algebraic Riccati equation without knowledge of the parameter ε