Stabilising controller and observer synthesis for uncertain large-scale systems by the Riccati equation approach

The paper introduces a Riccati equation approach to synthesise of the full state observers and state feedback controllers for uncertain large-scale systems. In this approach, if two given algebraic Riccati equations are solved, their solutions can be applied to synthesise the stabilising state feedback and observer gain matrices. The uncertainties considered in each subsystem may be time-varying and appear in the system matrices (matrix A_t), input connection matrices (matrix B_i), or/and output matrices (matrix C_i). However the values of those uncertainties are constrained to lie within some known admissable bounds. Furthermore, the so-called matching conditions are not needed in the paper.