Robust mixed H 2 /H ∞ optimal controller design

Abstract

Abstract This paper addresses the problem of dynamic output feedback robust mixed H2 / H∞ norm optimal control with regional pole constraints. The problem can be formulated a optimization problem involving LMI, Linear Matrix Inequalities. The main purpose of the robust optimal control problem is to minimize mixed H2 / H∞, norm of the closed loop transfer function matrix under some constraints. In the other words, the main objectives of the robust optimal control is to minimize mixed H2 / H∞ norm of the closed loop transfer function matrix under the system performance constraints. In this paper, mixed H2 / H∞ performance index is minimized under the constraint of H2 performance, the constraint of H∞ performance and the regional pole placement. Recent years LMI are extensively used in control system synthesis. The synthesis problem is solved via LMI.