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Stabilization of uncertain discrete-time and sampled-data control systems
Abstract
In this dissertation, the robust stability issues for uncertain discrete-time and sampled-data control systems have been investigated. In the first part, the uncertainties have been modelled in the state space representation of the discrete-time system. Lyapunov min-max controllers have been used to determine the maximum allowable uncertainty bounds. $\ell\sp{\rm th}$-step difference equations are used to introduce the $\ell\sp{\rm th}$-step min-max controllers and it has been shown that these controllers could be used for the stabilization of control systems possessing certain uncertainty structures. In the second part, the sampled-data control systems have been considered. The uncertainty has been defined in the continuous-time state space representation of the system and the resulting uncertainty structure in the sampled-data domain has been examined. A quadratic bounding technique has been used to guarantee robust stability of the sampled-data system for some bounds on the uncertainties. It has also been shown that when sampling period becomes sufficiently small, the bound becomes tight.
Subject Area
Electrical engineering
Recommended Citation
Arabacioglu, Mujdat Ihsan, "Stabilization of uncertain discrete-time and sampled-data control systems" (1991). Doctoral Dissertations Available from Proquest. AAI9207358.
https://scholarworks.umass.edu/dissertations/AAI9207358