New Decentralized Observers for a Large Scale Nonlinear Interconnected Systems
Subject Areas : electrical and computer engineeringA. Varvani Farahani 1 , M. Montazeri 2
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Keywords: Nonlinear observeroil and gasNavier Stokes equationinterconnected systemDMVT,
Abstract :
In this paper, a new decentralized observer scheme based on combination of two large scale interconnected subsystems is proposed. It discusses design problem of flow measurement by partial differential equation (PDE) observer for state estimation of a quasi linear system without external disturbance and without measurement noise. The measurement system is decomposed into two subsystems according to their locations, condensate and gas pipes, such that each subsystem has interconnection with other. By using matrix form Navier Stocks equations and Lyapunov technique, inequality at each subsystem, a Lyapunov-based design of PDE observer is developed such that the resulting estimation error system is exponentially stable and presented in terms of standard linear matrix inequalities (LMIs). The first mean value theory for integrals is used in the observer design development. The proposed method may be used as a backup for existing systems in the operation field or as a main system for new established plants.
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