Title :
Robust control of uncertain systems with input delay and input sector nonlinearity
Author :
Lee, Bohyung ; Lee, Jang Gyu
Author_Institution :
Digital Media Res. Lab., LG Electron. Inc., Seoul, South Korea
Abstract :
In this paper, we investigate a robust control method for some nonlinear control problems with an input delay. By letting input nonlinearity in the sector bounds as a new diagonal structured uncertainty, we transform the control problems with input nonlinearity into the robust control problems of linear systems with only structured uncertainty. Applying this idea, we obtain linear matrix inequality (LMI) conditions for delay-dependent robust stabilization of structured uncertain systems with input delay and input sector nonlinearity. In addition to LMI for the fixed input nonlinearity, we also propose an iterative LMI optimization algorithm to find robust input sector bounds such that the given uncertain system is stable for any input nonlinearity in these sector bounds
Keywords :
delays; iterative methods; matrix algebra; nonlinear control systems; optimal control; robust control; uncertain systems; delay-dependent robust stabilization; diagonal structured uncertainty; input delay; input sector nonlinearity; iterative LMI optimization algorithm; linear matrix inequality; linear systems; nonlinear control problems; robust control; robust input sector bounds; structured uncertain systems; structured uncertainty; uncertain systems; Control systems; Delay systems; Iterative algorithms; Linear matrix inequalities; Linear systems; Nonlinear control systems; Robust control; Robustness; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914605