Abstract
This paper is concerned with the global stabilisation problem of multiple oscillators system with bounded controls by constructing state-dependent saturation functions. First, two types of planar systems subject to input additive disturbances are respectively stabilised by bounded feedbacks whose formulas involve state-dependent saturation function. Next, these results are used to stabilise multiple oscillators system of arbitrary length with bounded control based on a special canonical form. Explicit conditions are provided to guarantee the stability of the closed-loop system. Compared with the existing results, the proposed controllers contain the so-called state-dependent saturation functions and thus can improve the control performance significantly. Moreover, the corresponding results for the discrete-time case are also established. Two numerical examples are given to show the effectiveness and superiority of the proposed approaches.
Disclosure statement
No potential conflict of interest was reported by the author(s).