Shang, Yanling; Xie, Jing Global stabilization of nonholonomic chained form systems with input delay. (English) Zbl 1406.93284 Abstr. Appl. Anal. 2014, Article ID 156457, 6 p. (2014). Summary: This paper investigates the global stabilization problem for a class of nonholonomic systems in chained form with input delay. A particular transformation is introduced to convert the original time-delay system into a delay-free form. Then, by using input-state-scaling technique and the method of sliding mode control, a constructive design procedure for state feedback control is given, which can guarantee that all the system states globally asymptotically converge to the origin. An illustrative example is also provided to demonstrate the effectiveness of the proposed scheme. Cited in 1 Document MSC: 93D20 Asymptotic stability in control theory 93B17 Transformations 93B12 Variable structure systems 93B52 Feedback control 93B51 Design techniques (robust design, computer-aided design, etc.) Keywords:global stabilization; nonholonomic chained form systems; transformation; sliding mode control; state feedback control PDF BibTeX XML Cite \textit{Y. Shang} and \textit{J. Xie}, Abstr. Appl. Anal. 2014, Article ID 156457, 6 p. (2014; Zbl 1406.93284) Full Text: DOI References: [1] Brockett, R. W.; Brockett, R. W.; Millman, R. S.; Sussmann, H. J., Asymptotic stability and feedback stabilization, Differential Geometric Control Theory, 2961-2963 (1983) [2] Kolmanovsky, I.; McClamroch, N., Developments in nonholonomic control problems, IEEE Control Systems Magazine, 15, 6, 20-36 (1995) [3] Murray, R. R.; Sastry, S. S., Nonholonomic motion planning: steering using sinusoids, IEEE Transactions on Automatic Control, 38, 5, 700-716 (1993) · Zbl 0800.93840 [4] Walsh, G. 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