Supervisory control of switched nonlinear systems

Abstract

SUMMARYThe objective of this paper is to describe recent progress in the field of hybrid control of nonlinear systems. We address the problem of controlling a nonlinear dynamical process by means of a hybrid controller combining continuous dynamics with discrete logics, the latter used to switch, from time to time, between several continuous control laws. The hybrid control system considered in this paper relies on the use of a switching logic, which generates online and in a fully adaptive fashion, ‘sliding windows’ of the monitoring signals used to select the control action. It is shown that, under suitable conditions, the resulting supervisory control scheme ensures ‐induced gain to the disturbance‐to‐state map, whether the process dynamics are constant or not. Copyright © 2012 John Wiley & Sons, Ltd.

Design of a switching controller for adaptive disturbance attenuation with guaranteed stability

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Hierarchical switching for active disturbance attenuation with fine controller tuning

“…In fact, in the adaptive stabilization problem, it is supposed that the a priori information on the plant is not sufficient to design a stabilizing controller. Hence, the main goal is that of modifying on line the control law (either by continuous adaptation or switching [20][21][22][23][24][25][26][27][28][29]), so as to ensure stabilization. On the other hand, in the ADA problem, it is supposed that the a priori information on the plant is sufficient to design a stabilizing controller, by resorting for instance to standard (robust) control techniques.…”

Global adaptive finite‐time stabilization of a class of switched nonlinear systems with parametric uncertainty

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