Design and Analysis of Nonlinear Sampled-Data Control Systems

The sun and the moon run on their ¯xed courses (exactly) calculated with measured out stages for each (for reckoning). And the herbs (or stars) and the trees both prostrate themselves (to Allah). And the heaven; He has raised it high, and He has set up the Balance. In order that you may not transgress (due) balance. And observe the weight with equity and do not make the balance de¯cient." (Holy Qur'an, Ar-Rahman (The Most Gracious):1-9) Nonlinear sampled-data control systems represent an important system con¯gura-tion that often arises in engineering practice. This thesis contributes a number of novel analysis and design tools for a quite general class of nonlinear sampled-data systems. The overall work in this thesis is divided into three parts. In Part I, a general and uni¯ed framework for discrete-time controller design using emulation for nonlinear sampled-data systems with disturbances is presented. A preservation of dissipativity properties under sampling and controller emulation is studied. It is shown that if