Generalized Tracking Problem for Linear System

this paper, we formulate the problem in a more general framework where the desired trajectory can be generated by any linear systems. Nearly all trajectory can be included in this category. The control objective is also changed from stabilization to norm minimization. In this paper, the controller synthesis procedure is discussed. Instead of traditional controller design procedures, we convert the control objective into LMI conditions. Thus by using the state-of-art LMI solver, the controller can be obtained from the solution of the LMIs. 2 Controller Desig