This paper provides a method for observer synthesis of interconnected systems with nonlinearities in subsystems and interconnection terms, which satisfy the Lipschitz-type conditions instead of any matching conditions. A new observer scheme is proposed under a local observability assumption, and the respective observer gains are obtained through Riccati equations with linear constraints. Solvability conditions for such a Constrained Riccati Problem (CRP) are derived, and a systematic procedure for obtaining the solution of a constrained Riccati equation is presented. Furthermore, the relationship between tolerable Lipschitz constants of the modeling nonlinearities and observer gains is established.
|Number of pages||21|
|Journal||Control, theory and advanced technology|
|Issue number||4 pt 3|
|State||Published - Sep 1995|