Showing papers by "Hassan K. Khalil published in 1983"
22 Jun 1983
TL;DR: The authors show why decomposition of control problems into slow and fast portions is justified and present some theorems relating to the problem.
Abstract: Many systems to which modern automatic control techniques are applied exhibit multiple time scale behavior Recent work has shown that the control task can be simplified through model reduction or decomposition methods which rely on such behavior Application of modern control methods to complicated system models can lead to complicated or oversensitive controllers The authors show why decomposition of control problems into slow and fast portions is justified and present some theorems relating to the problem Most decomposition and reduction methods employ singular perturbation theory as their mathematical basis This paper approaches the problem from a frequency-domain viewpoint
11 citations
22 Jun 1983
TL;DR: For nonlinear singularly perturbed systems a stabilizing feedback control law is designed using two separate lower order subsystems using the two-time-scale property greatly simplifies the stability analysis and the nonlinear controller design.
Abstract: For nonlinear singularly perturbed systems a stabilizing feedback control law is designed using two separate lower order subsystems. The two-time-scale property greatly simplifies the stability analysis and the nonlinear controller design.
2 citations