Robust mixed H2/H∞ optimal controller design


Aydın Y.

3rd IFAC Workshop on Automatic Systems for Building the Infrastructure in Developing Countries, DECOM-TT 2003, İstanbul, Turkey, 26 - 28 June 2003, vol.36, pp.39-43 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 36
  • Doi Number: 10.1016/s1474-6670(17)35804-4
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.39-43
  • Keywords: H2 constraint, H∞ constraint, LMI, Mixed H2/H∞ performance, Regional pole placement, Robust control
  • Istanbul Technical University Affiliated: Yes

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 LM1, 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.