Title :
Brief Paper Stabilising tracking of uncertain switched non-linear systems in semi-strict feedback form
Author :
Li, Zuyi ; Chen, Jiann-Jong ; Zhang, Ge ; Gan, Min
Author_Institution :
Sch. of Autom., Beijing Inst. of Technol., Beijing, China
Abstract :
This study concentrates on the stabilising tracking problem of a class of switched non-linear systems in semi-strict feedback form with parametric and non-linear uncertainties. The switching signal is arbitrary and occurs on the known non-linear functions. To solve the tracking problem, a switched adaptive robust dynamic surface control approach is proposed. The continuous error signals are constructed using the dynamic surface control approach, so the switched error dynamics is obtained. Then, semi-global stability analysis is discussed by using the common Lyapunov function method, which shows that the solutions of the closed-loop system are uniformly ultimate bounded and the tracking error can be prescribed arbitrarily small. A numerical example is provided to illustrate the effectiveness of the proposed control method.
Keywords :
adaptive control; feedback; nonlinear control systems; robust control; time-varying systems; tracking; uncertain systems; closed loop system; common Lyapunov function method; continuous error signal; nonlinear function; nonlinear uncertainties; parametric uncertainties; semiglobal stability analysis; semistrict feedback form; switched adaptive robust dynamic surface control approach; switched error dynamics; switching signal; tracking problem; uncertain switched nonlinear systems;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2010.0189