Analysis and control of switched linear systems via modified Lyapunov-Metzler inequalities
This paper addresses analysis and switching control problems of continuous/discrete-time switched linear systems. A particular class of matrix inequalities, the so-called Lyapunov-Metzler inequalities, will be modified to provide conditions for stability analysis and output feedback control synthesis under a relaxed min-switching logic. The switching rule combined with switching output feedback controllers will be designed to stabilize the switched system and satisfy a prespecified L2(ℓ2) gain performance. The proposed analysis and switching control approach could refrain frequent switches commonly observed in min-switching based designs. The effectiveness of the proposed approach will be illustrated through numerical examples. Copyright © 2012 John Wiley & Sons, Ltd. Copyright © 2012 John Wiley & Sons, Ltd.
Duan, C., & Wu, F. (2014). Analysis and control of switched linear systems via modified Lyapunov-Metzler inequalities. Retrieved from https://digitalcommons.pvamu.edu/mechanical-engineering-facpubs/19