Global stabilization of feedforward systems under perturbations in\n sampling schedule

2011/04/15 by Iasson Karafyllis, Miroslav Krstić, Karafyllis, Iasson +1
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1104.3131

openalex publication_date 2011/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For nonlinear systems that are known to be globally asymptotically\nstabilizable, control over networks introduces a major challenge because of the\nasynchrony in the transmission schedule. Maintaining global asymptotic\nstabilization in sampled-data implementations with zero-order hold and with\nperturbations in the sampling schedule is not achievable in general but we show\nin this paper that it is achievable for the class of feedforward systems. We\ndevelop sampled-data feedback stabilizers which are not approximations of\ncontinuous-time designs but are discontinuous feedback laws that are\nspecifically developed for maintaining global asymptotic stabilizability under\nany sequence of sampling periods that is uniformly bounded by a certain\n"maximum allowable sampling period".\n

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