This paper concerns the problems of stability and robust model reference tracking control for a class of switched nonlinear systems with input delay under asynchronous switching. By proposing a new Lyapunov–Krasovskii functional, and using free-weighting matrices and average dwell-time (ADT) technique, new input-to-state stability (ISS) conditions are derived in terms of linear matrix inequalities (LMIs) under a certain delay bound. Then, robust model reference tracking control problem is studied based on the proposed Lyapunov–Krasovskii functional; Finally a kind of state feedback control law which guarantees robust model reference tracking performance is proposed. Illustrative examples are presented to demonstrate the efficacy and feasibility of results.
Robust Tracking Control of a Class of Switched Nonlinear Systems With Input Delay Under Asynchronous Switching
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 6, 2017; final manuscript received November 10, 2017; published online December 22, 2017. Assoc. Editor: Ryozo Nagamune.
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Pezeshki, S., Badamchizadeh, M. A., Ghiasi, A. R., and Ghaemi, S. (December 22, 2017). "Robust Tracking Control of a Class of Switched Nonlinear Systems With Input Delay Under Asynchronous Switching." ASME. J. Dyn. Sys., Meas., Control. June 2018; 140(6): 061013. https://doi.org/10.1115/1.4038491
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