Stabilizability Analysis of Multiple Model Control with Probabilistic Switching

Authors

  • Anan Suebsomran King Mongkut’s University of Technology North Bangkok (KMUTNB), Thailand

DOI:

https://doi.org/10.15157/IJITIS.2019.2.2.173-180

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 Pi 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

2019-04-11

How to Cite

Suebsomran, A. (2019). Stabilizability Analysis of Multiple Model Control with Probabilistic Switching. International Journal of Innovative Technology and Interdisciplinary Sciences, 2(2), 173–180. https://doi.org/10.15157/IJITIS.2019.2.2.173-180