Regional gain analysis for linear saturating systems

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• 作者：Giorgio Valmorbida^a ; ^{gvalmorbida@gmail.com} ; ^{giorgio.valmorbida@l2s.centralesupelec.fr} ; Andrea Garulli^b ; ^{garulli@ing.unisi.it} ; Luca Zaccarian^c ; ^d ; ^{luca.zaccarian@laas.fr}
• 关键词：Constrained systems ; Saturation ; L2mL2m gain ; Sum-of-squares
• 刊名：Automatica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：76
• 期：Complete
• 页码：164-168
• 全文大小：460 K
• 卷排序：76

文摘

Sufficient conditions are presented for regional stability and nonlinear L2mL2m gain analysis of linear systems subject to saturation, based on piecewise polynomial Lyapunov functions. The proposed conditions are formulated in terms of convex optimization problems and improve existing results both for the quadratic (L2L2 gain) and the polynomial (L2mL2m gain) cases.