access icon free General framework in designing Luenberger-like non-linear observer

© The Institution of Engineering and Technology
Received 16/04/2012, Accepted 17/11/2012, Revised 22/10/2012, Published

The problem of designing Luenberger-like observer for non-linear Lipschitz systems is addressed. Based on using the coordinate transformation, the author classify many practical approaches of observer synthesis into direct and indirect methods. A generalised Lipschitz condition and the related stability condition are then employed to establish a general framework in designing the Luenberger-like observer dealing with both methods. Moreover, the proposed framework is interpreted in terms of some linear matrix inequalities (LMIs) which allows using numerical techniques to obtain a reduced order observer. Finally, some simulation examples are given to exhibit the effectiveness of the proposed observer synthesis approach.

Inspec keywords: linear matrix inequalities; nonlinear control systems; reduced order systems; control system synthesis; observers; stability

Other keywords: direct methods; numerical techniques; Luenberger-like nonlinear observer design; coordinate transformation; nonlinear Lipschitz systems; indirect methods; stability condition; reduced order observer; observer synthesis; generalised Lipschitz condition; LMI

Subjects: Linear algebra (numerical analysis); Stability in control theory; Simulation, modelling and identification; Control system analysis and synthesis methods; Nonlinear control systems

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