Dynamic Output-Feedback Receding Horizon H$_{\infty}$ Controller Design

  • Jeong, Seung-Cheol (Division of Electrical and Computer Engineering, Pohang University of Science and Technology(POSTECH)) ;
  • Moon, Jeong-Hye (Division of Electrical and Computer Engineering, Pohang University of Science and Technology(POSTECH)) ;
  • Park, Poo-Gyeon (Division of Electrical and Computer Engineering, Pohang University of Science and Technology(POSTECH))
  • Published : 2004.12.01

Abstract

In this paper, we present a dynamic output-feedback receding horizon $H_{\infty}$controller for linear discrete-time systems with disturbance. The controller is obtained numerically from the finite horizon output-feedback $H_{\infty}$optimization problem, which is, in fact, hardly solved analytically. Under a matrix inequality condition on the terminal weighting matrix, the monotonic decreasing property of the cost is shown. This property guarantees both the closed-loop stability and the $H_{\infty}$norm bound. Then, we extend the proposed design method to a reference tracking problem and a problem for time-varying systems. Numerical examples are given to illustrate the performance of the proposed controller.

Keywords

References

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