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

Abstract

The paper introduces a Riccati equation approach to synthesise of the full state observers and state feedback controllers for uncertain largescale 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 Ai), input connection matrices (matrix Bi), or/and output matrices (matrix Ci). 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.