Improved stability criteria for sampled-data systems using modified free weighting matrix

Abstract This paper investigates the stability analysis of sampled-data systems in the looped-functional framework. A modified free-weighting matrix inequality with quadratic-type is proposed to reduce conservatism of the integral term. Based on new looped-functional, improved conditions are derived in terms of linear matrix inequalities (LMIs) by utilizing the proposed integral inequality. Numerical examples show the superiority of the proposed condition through comparisons with the most recent results.

[1]  Corentin Briat,et al.  A looped-functional approach for robust stability analysis of linear impulsive systems , 2012, Syst. Control. Lett..

[2]  PooGyeon Park,et al.  Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems , 2015, J. Frankl. Inst..

[3]  Hisaya Fujioka,et al.  A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices , 2009, IEEE Transactions on Automatic Control.

[4]  Young Soo Suh.  Stability and stabilization of nonuniform sampling systems , 2008, Autom..

[5]  Jin-Hoon Kim,et al.  Further improvement of Jensen inequality and application to stability of time-delayed systems , 2016, Autom..

[6]  Corentin Briat,et al.  On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems , 2015, Int. J. Control.

[7]  Frédéric Gouaisbaut,et al.  Wirtinger-based integral inequality: Application to time-delay systems , 2013, Autom..

[8]  Yuanqing Xia,et al.  Stability analysis of systems with time-varying delays via the second-order Bessel-Legendre inequality , 2017, Autom..

[9]  Jinde Cao,et al.  Exponential stability and L2-gain analysis for sampled-data control of linear systems , 2016, J. Frankl. Inst..

[10]  Emilia Fridman,et al.  A refined input delay approach to sampled-data control , 2010, Autom..

[11]  Yong He,et al.  Stability analysis of systems with time-varying delay via relaxed integral inequalities , 2016, Syst. Control. Lett..

[12]  Corentin Briat,et al.  Stability analysis of uncertain sampled-data systems with incremental delay using looped-functionals , 2015, Autom..

[13]  Kok Lay Teo,et al.  A new looped-functional for stability analysis of sampled-data systems , 2017, Autom..

[14]  Jeferson Vieira Flores,et al.  Sampled-data LPV Control: a Looped Functional Approach* , 2015 .

[15]  Ju H. Park,et al.  Stability Analysis of Sampled-Data Systems via Free-Matrix-Based Time-Dependent Discontinuous Lyapunov Approach , 2017, IEEE Transactions on Automatic Control.

[16]  Kun Liu,et al.  Wirtinger's inequality and Lyapunov-based sampled-data stabilization , 2012, Autom..

[17]  J. Lam,et al.  New insight into delay‐dependent stability of time‐delay systems , 2015 .

[18]  Alexandre Seuret,et al.  A novel stability analysis of linear systems under asynchronous samplings , 2012, Autom..

[19]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[20]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[21]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[22]  Ju H. Park,et al.  Stability of time-delay systems via Wirtinger-based double integral inequality , 2015, Autom..

[23]  Min Wu,et al.  Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay , 2015, IEEE Transactions on Automatic Control.