This paper considers the global adaptive stabilizing control design for a class of high-order uncertain nonlinear systems with unknown control coefficients. Notably, the systems under investigation are more general than those in the existing literature, since the higher system orders and the unknown control
coefficients make the systems allow stronger nonlinearities and more serious uncertainties/unknowns. By skillfully applying the method of adaptive control via switching (rather than the traditional ones), and adding a power integrator, this paper presents a novel adaptive controller via switching, which is simple and easy to implement. The involved controller guarantees that all states of the closed-loop system are globally bounded and furthermore ultimately converge to zero.
MAN Yongchao , LIU Yungang.
ADAPTIVE STABILIZATION VIA SWITCHING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2013, 33(6): 661-670 https://doi.org/10.12341/jssms12120