| The synthesis and analysis of linear time-varying systems are very difficult since the background theory has not yet been developed. It is generally impossible to find a closed form solution for all classes of linear time-varying systems. This is one reason why there has been little progress made in the analysis, synthesis and application of variable parameter systems compared to what has been done for fixed systems. This dissertation examines the problem of pole assignment for linear time-varying systems using state and output feedback. The objectives of any design process are closed-loop stability, good steady-state response and reduction to disturbances or parameter variation. The aim of the pole assignment approach is to shape the dynamic response of a system by assigning its closed-loop poles. Thus, the output or state feedback controller is designed to move the poles to desired locations. In this dissertation, it is shown that a nonhomogeneous linear time-varying system can be transformed into a linear time-invariant system. Two transformation methods are developed. Also two methods are presented which solves the pole assignment problem for linear varying systems by means of state and output feedback. A discussion of stability of the closed-loop system is presented whereby two approaches are applied to examine the stability of the closed-loop system. Also in this dissertation, the problem of pole assignment for linear time-varying systems with time-delay in the plant and in the control is examined. |
