Robust $H_{\infty}$ Control for Bilinear Systems with Parameter Uncertainties via output Feedback

  • Kim, Young-Joong (Department of Electrical Engineering, Korea University) ;
  • Lee, Su-Gu (Department of Electrical Engineering, Korea University) ;
  • Chang, Sae-Kwon (Department of Electrical Engineering, Korea University) ;
  • Kim, Beom-Soo (Department of Electrical Engineering, Korea University) ;
  • Lim, Myo-Taeg (Department of Electrical Engineering, Korea University)
  • 발행 : 2003.10.22

초록

This paper focuses on robust $H_{\infty}$ control for bilinear systems with time-varying parameter uncertainties and exogenous disturbance via output feedback. $H_{\infty}$ control is achieved via separation into a $H_{\infty}$ state feedback control problem and a $H_{\infty}$ state estimation problem. The suitable robust stabilizing output feedback control law can be constructed in term of approximated solution to x-dependent Riccati equation using successive approximation technique. Also, the $H_{\infty}$ filter gain can be constructed in term of solution to algebraic Riccati equation. The output feedback control robustly stabilizes the plant and guarantees a robust $H_{\infty}$ performance for the closed-loop systems in the face of parameter uncertainties and exogenous disturbance.

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