naa a22 4500 51077430X CHVBK 20180411083225.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1007/s40295-015-0052-2 doi (NATIONALLICENCE)springer-10.1007/s40295-015-0052-2 Stability of Nonlinear Systems with Unknown Time-varying Feedback Delay [Elektronische Daten] [Apurva Chunodkar, Maruthi Akella] This paper considers the problem of stabilizing a class of nonlinear systems with unknown bounded delayed feedback wherein the time-varying delay is 1) piecewise constant 2) continuous with a bounded rate. We also consider application of these results to the stabilization of rigid-body attitude dynamics. In the first case, the time-delay in feedback is modeled specifically as a switch among an arbitrarily large set of unknown constant values with a known strict upper bound. The feedback is a linear function of the delayed states. In the case of linear systems with switched delay feedback, a new sufficiency condition for average dwell time result is presented using a complete type Lyapunov-Krasovskii (L-K) functional approach. Further, the corresponding switched system with nonlinear perturbations is proven to be exponentially stable inside a well characterized region of attraction for an appropriately chosen average dwell time. In the second case, the concept of the complete type L-K functional is extended to a class of nonlinear time-delay systems with unknown time-varying time-delay. This extension ensures stability robustness to time-delay in the control design for all values of time-delay less than the known upper bound. Model-transformation is used in order to partition the nonlinear system into a nominal linear part that is exponentially stable with a bounded perturbation. We obtain sufficient conditions which ensure exponential stability inside a region of attraction estimate. A constructive method to evaluate the sufficient conditions is presented together with comparison with the corresponding constant and piecewise constant delay. Numerical simulations are performed to illustrate the theoretical results of this paper. American Astronautical Society, 2015 Time-varying delay nationallicence Nonlinear systems nationallicence Complete type Lyapunov-Krasovskii functional nationallicence Chunodkar Apurva Department of Aerospace Engineering and Engineering Mechanics, Austin, TX, USA aut Akella Maruthi Department of Aerospace Engineering and Engineering Mechanics, Austin, TX, USA aut The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 278-302 0021-9142 60:3-4<278 2013 60 40295 https://doi.org/10.1007/s40295-015-0052-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s40295-015-0052-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chunodkar Apurva Department of Aerospace Engineering and Engineering Mechanics, Austin, TX, USA aut NATIONALLICENCE 700 1- Akella Maruthi Department of Aerospace Engineering and Engineering Mechanics, Austin, TX, USA aut NATIONALLICENCE 773 0- The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 278-302 0021-9142 60:3-4<278 2013 60 40295 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer