The design of stabilizing controllers and observers for uncertain strongly coupled symmetric composite systems

This paper presents a procedure for designing a full state observer and feedback control law which will stabilize a given uncertain symmetric composite system with strong interconnections. In the design procedure, the state feedback gain matrix and the observer gain matrix which will stabilize the class of systems can be conducted by the solutions of lower order algebraic Riccati equations. The uncertainties considered in the systems may be time-varying. However the values of the uncertainties are constrained to lie within some known admissible bounds