Robust Control For Descriptor Systems Via The Parameterisation Approach

Descriptor system is a natural and covenient representation of a physical process, which is more general than a normal system model. Uncertainties are unavodiable in practical systems. Parametrization-based robust control is an effective method to handle systems with uncertainties. It is of interest to study the parametrization design for descriptor systems with uncertainties.Firstly, the background and progress of the research on bobust control of generalized systems are reviewed in the thesis.The research topics and methods of it are summarized.Secondly, the parametrization design of stabilizing controllers for descriptor systems, include the lower-order and high-order ones, is discussed in this study. The eigenvalues of uncertain close-loop linear systems are placed inside the left-half complex plain. The exsistance condition and the parametrization representation of the robust stabilizing controllers are presented.Finally, based on the stablizing controller parametrization, and using the control theory, the PID+Q parametrization design for systems with non-structural uncertainties is another interest of this study. The parameter Q of the PID+Q controller design can improve robust stability and performance robustness of controlled systems. The efficiency of the proposed design approaches are demonstrated via simulations. H∞...