Adaptive state-feedback stabilization for a class of high-order nonlinear uncertain systems

作者：Sun Zongyao; Liu Yungang^*

来源：Automatica, 2007, 43(10): 1772-1783.

DOI：10.1016/j.automatica.2007.02.024

• nonlinear systems
• unknown control coefficients
• adaptive control
• adding a power integrator

For high-order nonlinear uncertain systems, there have been a lot of investigations under a strong assumption that the lower bounds of the unknown control coefficients should be exactly known. In this paper, this assumption is removed and a unified approach is developed to systematically construct a state-feedback adaptive stabilizing control law for a class of high-order nonlinear uncertain systems with unknown control coefficients. By using the method of the so-called adding a power integrator merging with adaptive technique, a recursive design procedure is provided to achieve a smooth adaptive state-feedback control law, which guarantees that the closed-loop system is globally uniformly stable while the original system states globally asymptotically converge to zero. Finally, a simulation example is given to illustrate the correctness of the theoretical results.

• 出版日期2007-10
• 单位山东大学