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An iterative interval estimation approach to nonlinear discrete-time systems

Abstract

This paper is devoted to the iterative interval estimation for nonlinear discrete-time systems. To reconstruct the system state, a sequence of iterative observers is established based on the iterative disturbance estimation and measured output. By means of the Lipschitz condition and H infinity technique, sufficient conditions are built by the Lyapunov function method to make observation errors convergent. Resorting to the zonotope-based reachability analysis, the reachable set of nonlinear terms and observation errors are analyzed such that the state interval can be supplied. The presented approach is validated by a simulation comparison.

article Article
date_range 2024
language English
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Featured Keywords

Interval estimation
nonlinear systems
robust control
linear matrix inequality
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