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Insights into the Stabilization of a Chain of Integrators via Delay-Difference Approximations∗
This paper focuses on the output feedback stabilization of a chain of integrators using delay-difference operators to approximate derivative actions. The primary contribution of this study is the explicit computation of an upper bound for the time-delay, guaranteeing that the closed-loop system, employing the delay-difference approximation of the derivative action, maintains (exponential) stability. Illustrative numerical examples complete the presentation to demonstrate the efficiency of the proposed methodology. ©IFAC, all rights reserved.
Chain of Integrators; Delay Systems; Delay-Difference; Linear Systems Computational efficiency; Delay control systems; Linear systems; Numerical methods; Stabilization; Approximate derivatives; Chain of integrators; Delay-difference; Delays system; Difference approximation; Difference operators; Output-feedback stabilizations; Primary contribution; Time-delays; Upper Bound; Closed loop systems
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