Periodic Solutions Design for Feedback Bilinear Systems

نویسندگان

  • Shin-Jang Pan
  • Jason Sheng-Hong Tsai
  • Yeong-Jeu Sun
چکیده

In this paper, we propose a feedback control for a class of bilinear systems. Based on the Bellman-Gronwall inequality, the exponentially stable periodic solutions or limit cycles, appearing as an ellipsoid in the phase plane, are guaranteed. Moreover, the frequency of oscillation and convergence rate can be correctly estimated for such bilinear control systems. Finally, a numerical example is presented to exhibit the use of the main result.

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تاریخ انتشار 2009