Design of robust optimal Linear Parameter Varying (LPV) controller for DC servo system

Aydın Y.

19th International Conference on Electrical Machines, ICEM 2010, Rome, Italy, 6 - 08 September 2010 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/icelmach.2010.5607850
  • City: Rome
  • Country: Italy
  • Keywords: DC servo motor system, Linear matrix Inequality(LMI), Linear Parameter Varying (LPV) controller, Mixed H2 / H∞ optimal control, Parametric uncertainity, Regional pole placement, Robust Control
  • Istanbul Technical University Affiliated: Yes


This paper presents the design of a robust optimal control system satisfying some system performance constraints The design problem is a problem of dynamic feedback, mixed H2 / H∞ robust optimal control systems with multi constraints and parametric uncertainties. The main purpose of the robust optimal Linear Parameter Varying (LPV) control is to parametrize a controller via a linear convex combination of all controllers minimizing mixed H2 / H∞ norm of the closed loop transfer function matrix under parametric uncertainties and some constraints. In this paper, mixed H2 / H∞ performance index is minimized under the constraints of H2 performance, H ∞ performance, control input constraints and the regional pole placement. The LPV control synthesis with multi constraints is formulated as a convex optimization problem involving Linear Matrix Inequalities(LMIs). A linear parameter varying (LPV) controller design example for the control of a DC servo motor system is presented. ©2010 IEEE.