Deadbeat observer: construction via sets
S. Emre Tuna

TL;DR
This paper introduces a geometric, set-based method for constructing deadbeat observers for nonlinear systems, providing a constructive approach and an algorithm for linear systems with scalar output.
Contribution
It presents a novel geometric generalization and a constructive method for designing deadbeat observers for nonlinear systems, including an algorithm for linear scalar-output systems.
Findings
Method enables iterative set computation for observer design
Derivations provided for various example systems
Algorithm for deadbeat gain in linear scalar-output systems
Abstract
A geometric generalization of discrete-time linear deadbeat observer is presented. The proposed method to generate a deadbeat observer for a given nonlinear system is constructive and makes use of sets that can be computed iteratively. For demonstration, derivations of observer dynamics are provided for various example systems. Based on the method, a simple algorithm that computes the deadbeat gain for a linear system with scalar output is given.
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Taxonomy
TopicsAdaptive Control of Nonlinear Systems · Advanced Control Systems Optimization · Stability and Control of Uncertain Systems
