Finite-time Identification of Unknown Discrete-time Nonlinear Systems Using Concurrent Learning

Tatari, Farzaneh; Panayiotou, Christos G.; Polycarpou, Marios M.

doi:10.1109/cdc45484.2021.9683393

Cited by 6 publications

(1 citation statement)

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“…While most real-world systems are CT in nature, DT systems are of great importance since systems are typically discretized and controlled with digital computers and micro-controllers in real-world applications. Even though finite-time stability of DT is studied in [15], [16], [35], [36], fixed-time stability of DT systems is surprisingly unsettled, despite its practical importance. This gap motivates us to present fixed-time Lyapunov stability conditions that pave the way for realization of fixed-time control and identification of DT systems through designing appropriate controllers and adaptation laws, respectively.…”

Section: Introductionmentioning

confidence: 99%

Fixed-time Stability of Discrete-time Autonomous Systems

Tatari¹,

Modares²

2022

Preprint

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The fixed-time stability of autonomous nonlinear discrete-time (DT) systems is studied in this paper. Novel Lyapunov conditions are presented under which the fixed-time stability of autonomous DT system is certified. Extension to systems under perturbations is also considered. The sensitivity to perturbations for fixed-time stable DT systems is analyzed and it is shown that fixed-time attractiveness can be resulted from the presented Lyapunov conditions. The fixed upper bound of the settling-time functions is derived for fixed-time stable and fixed-time attractive systems. An illustrative example with simulations are also given to verify the introduced results.

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