Robust Adaptive Sampled-Data Control Scheme for a Class of Uncertain Nonlinear Systems

In this paper, a simple robust adaptive sampled-data control law is addressed for a class of uncertain continuous-time systems. For achieving this goal, firstly, the regulation problem and H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ H_{\infty } $$\end{document} control designs would be formulated in the uncertain continuous-time systems via including a sampler and data-hold circuits. Then, a robust adaptive digital control law will be derived by using the discrete-time Lyapunov’s stability theory. The results are numerically implemented in two nonlinear uncertain systems. The simulations show the effectiveness of the proposed robust adaptive digital control method compared with the other techniques.