International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Robust H$_{\infty}$ Control Method for Bilinear Systems

  • Kim, Beom-Soo (School of Electrical Engineering, Korea University) ;
  • Lim, Myo-Taeg (Department of Electrical Engineering, Korea University)
  • Published : 2003.06.01
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Abstract

In this paper, we investigate a robust $H_{\infty}$ state feedback control technique for continuous time bilinear systems with an additive disturbance input. The nonlinear robust $H_{\infty}$control for bilinear systems requires a solution to the state dependent algebraic Riccati equation (SDARE). We present a new robust $H_{\infty}$control technique based on the successive approximation method for solving the SDARE by converting bilinear systems into time-varying linear systems. The proposed control method guarantees robust stability for closed loop bilinear systems. The proposed algorithm is verified by numerical examples.

Keywords

References

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