Abstract

A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found by solving semidefinite feasibility programs. Two cases are considered: (1) the interval observer is in the same coordinate frame as the given system, and (2) the interval observer uses a coordinate transformation. Numerical examples are provided to showcase the effectiveness of the interval observers and show an application to sampled-data systems.

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