一类非线性系统的自适应抗测量噪声的输出反馈镇定

本文研究一类非线性系统的自适应抗测量噪声的输出反馈镇定问题. 所研究的非线性系统输出中存在正的且 有界的乘性噪声. 非线性项的增长率为一个未知常数乘以输出的幂函数加上带有时滞输出的幂函数. 首先, 证明一个矩 阵不等式. 其次, 设计含有3个时变增益的输出反馈控制器, 并给出增益的自适应律, 然后, 构造适当的Lyapunov-Krasovskii 泛函, 给出确保闭环系统渐近稳定的充分条件. 最后, 仿真实验验证该方法的可行性和有效性.

Adaptive anti-measurement-disturbance stabilization fora class of nonlinear systems via output feedback

In this paper, we study adaptive anti-measurement-disturbance stabilization for a class of nonlinear systems via output feedback. In the output of the systems, there exist multiplicative noises which are assumed to be positive and have known upper and lower bounds. The growth rate of the nonlinear terms has an unknown constant multiplied by a power function of the output and a power function of the output with time delay. Firstly, a matrix inequality is developed. Secondly, we design an output feedback stabilizer with three time-varying gains, and give adaptive laws of the gains as well. Then, a Lyapunov-Krasovskii functional is constructed, and sufficient conditions are derived to ensure that the closed-loop system is asymptotically stable. Finally, numerical simulations are provided to verify the feasibility and effectiveness of the design method.