Reduced order observer design for discrete-time nonlinear systems |
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Institution: | Department of Instrumentation and Control Engineering, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur-603 203, Tamil Nadu, India |
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Abstract: | This work is a geometric study of reduced order observer design for discrete-time nonlinear systems. Our reduced order observer design is applicable for Lyapunov stable discrete-time nonlinear systems with a linear output equation and is a generalization of Luenberger’s reduced order observer design for linear systems. We establish the error convergence for the reduced order estimator for discrete-time nonlinear systems using the center manifold theory for maps. We illustrate our reduced order observer construction for discrete-time nonlinear systems with an example. |
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