Singular L₂‐gain control for switched nonlinear control systems under arbitrary switching

Abstract

This article concerns with the synthesis of L 2 -gain state feedback controllers, without the standard regular assumption, for multi-input switched nonlinear control-affine systems under arbitrary switching. A common control storage function approach is developed for deriving sufficient conditions for the existence of uniform L 2 -gain controllers. Moreover, an explicit formula for constructing L 2 -gain controllers is presented. A numerical example is given for illustration. K E Y W O R D S arbitrary switching, L 2 -gain control, nonlinear control systems, state feedback, storage function, switched control systems 1 Int J Robust Nonlinear Control. 2020;30:4149-4163. wileyonlinelibrary.com/journal/rnc

A novel recursive approach for online identification of continuous‐time switched nonlinear systems

“…[1][2][3] In the last decades, switched nonlinear systems and the corresponding control methods have drawn considerable attention among various hybrid systems due to the ability of modeling practical systems. [4][5][6][7] The identification of switched nonlinear systems has been extensively studied as the foundation of analyzing and controlling these systems. [8][9][10] In the last few decades, the identification of linear or affine hybrid systems has been spotlighted due to their universal approximation properties and simple interpretations.…”

A new ‐gain analysis framework for discrete‐time switched systems based on predictive Lyapunov function

“…In comparison with the weighted ‐gain performance, the nonweighted ‐gain carries clear physical significance with less conservativeness, which is preferable in both mathematical analyses and practical applications. So far, interesting works 18,26‐32 in theoretical and applied areas have been presented to investigate the nonweighted disturbance attenuation performances for switched systems. A quasi‐time‐dependent filter with a prescribed non‐weighted ‐gain is developed in Reference 18 for switched linear systems.…”

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