DESIGN OF THE STATE OBSERVER WITH D-STABILITY FOR UNCERTAIN SYMMETRIC CIRCULANT COMPOSITE SYSTEMS

The design of the state observer for a kind of uncertain symmetric circulant composite systems based on regional pole assignment is studied. The "decentralized observer gain matrices" have been obtained by taking use of the special structure of the system. The central observer gain matrix for such a system has the same block symmetric circulant structure as the original system and can be constructed by the "decentralized observer gain matrices." Thus, the problem of designing state observer for such an uncertain system with n·N dimensions based on regional pole assignment can be transformed into the subproblems for N/2+1 or (N + 1)/2 uncertain systems with n dimensions. The central D-stabilizable state observer is also a symmetric circulant composite system. And the design of the observer makes best use of the advantage of interconnections of the system.Symmetric circulant composite systems, state observer, regional pole assignment, quadratic D-stabilizability, robustness