Observer-based decentralized control for uncertain neutral interconnected systems

This paper is concerned with the observer-based control problem for a class of uncertain interconnected systems of neutral-type. The problem addressed is that of designing a full-order observer that guarantees the asymptotic stability of the error dynamic system. An novel mathematical technique is developed to solve this problem. By using the singular value decomposition technique, sufficient condition for neutral interconnected systems to be asymptotic stable is first established. Then the explicit expressions of the desired observers and controllers are derived in terms of some free parameters. Finally, an illustrative example is used to demonstrate the validity of the proposed design procedure.