Stabilizability Analysis of Multiple Model Control with Probabilistic

Stabilizability Analysis of Multiple Model Control with Probabilistic

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


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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How to Cite
Suebsomran, A. (2019). Stabilizability Analysis of Multiple Model Control with Probabilistic. International Journal of Innovative Technology and Interdisciplinary Sciences, 2(2), 173-180.