Stabilizability Analysis of Multiple Model Control with Probabilistic Switching

  • Anan Suebsomran King Mongkut’s University of Technology North Bangkok (KMUTNB), Thailand
Keywords: Hybrid Multiple Models Control, Lyapunov Function, Soft Switching System.

Abstract

In this paper, we derive some useful necessary conditions for stabilizability of multiple model control using a bank of stabilizing state feedback controllers. The outputs of this set are weighted by their probabilities as a soft switching system and together fed back to the plant. We study quadratic stabilizability of this closed loop soft switching system for both continuous and discrete-time hybrid system. For the continuous-time hybrid system, a bound on sum of eigenvalues of  is found when their derivatives of Lyapunov functions are upper bounded.  For discrete-time hybrid system, a new stabilizability condition of soft switching signals is presented.

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Published
2019-01-01
How to Cite
[1]
A. Suebsomran, “Stabilizability Analysis of Multiple Model Control with Probabilistic Switching”, Int. J. Innov. Technol. Interdisc. Sci., vol. 2, no. 1, pp. 173-180, Jan. 2019.