Robust H-infinity control for a class of neutral-type systems via sliding mode observer

In this paper, the problem of observer-based H-infinity integral sliding mode control (ISMC) is investigated for a class of uncertain neutral-type systems with time delay (NTSTD). An ISMC strategy is put forward based on the sliding mode observer. A new sufficient condition of robust asymptotic stability for the overall systems composed of the error system and sliding mode dynamics with disturbance attenuation level is derived via linear matrix inequality (LMI). Then, a SMC law is designed such that the reachability of the sliding surface defined in the state-estimate space can be guaranteed. Finally, a simulation example is presented to demonstrate the feasibility of the obtained result.

[1]  Donghai Li,et al.  Variable structure sliding mode control for a class of uncertain distributed parameter systems with time-varying delays , 2009, Int. J. Control.

[2]  Jianjun Bai,et al.  New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2014, J. Frankl. Inst..

[3]  Sabri Arik,et al.  An analysis of stability of neutral-type neural systems with constant time delays , 2014, J. Frankl. Inst..

[4]  J. Lam,et al.  Neural Adaptive Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems , 2008 .

[5]  Hailong Xing,et al.  Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay , 2009 .

[6]  Zhengzhi Han,et al.  H∞ non-fragile observer-based sliding mode control for uncertain time-delay systems , 2010, J. Frankl. Inst..

[7]  Ju H. Park,et al.  LMI approach to robust H∞ filtering for neutral delay differential systems , 2004, Appl. Math. Comput..

[8]  Mohamed Darouach,et al.  Design of Robust $H_{\infty}$ Reduced-Order Unknown-Input Filter for a Class of Uncertain Linear Neutral Systems , 2010, IEEE Transactions on Automatic Control.

[9]  J. Lam,et al.  Sliding-mode control for uncertain neutral delay systems , 2004 .

[10]  Ju H. Park,et al.  Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays , 2009, Appl. Math. Comput..

[11]  Zhaolin Cheng,et al.  Delay-Dependent Robust Stability Criteria for Two Classes of Uncertain Singular Time-Delay Systems , 2007, IEEE Transactions on Automatic Control.

[12]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[13]  Yugang Niu,et al.  Design of sliding mode control for neutral delay systems with perturbation in control channels , 2012 .

[14]  Cunchen Gao,et al.  On exponential stabilization for a class of neutral-type systems with parameter uncertainties: An integral sliding mode approach , 2013, Appl. Math. Comput..

[15]  Qidan Zhu,et al.  Adaptive chatter free sliding mode control for a class of uncertain chaotic systems , 2014, Appl. Math. Comput..

[16]  Ju H. Park,et al.  A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays , 2013, Neurocomputing.

[17]  R. Rakkiyappan,et al.  Improved stability criteria for neutral type Lur'e systems with time-varying delays , 2014, Appl. Math. Lett..

[18]  Ju H. Park,et al.  LMI optimization approach on stability for delayed neural networks of neutral-type , 2008, Appl. Math. Comput..

[19]  Zhengzhi Han,et al.  Non-fragile observer-based passive control for uncertain time delay systems subjected to input nonlinearity , 2010 .

[20]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[21]  Chong Jiang Observer design for neutral systems with delays and nonlinear perturbations: Delay-dependent design method , 2013 .

[22]  Ju H. Park,et al.  A multiple integral approach to stability of neutral time-delay systems , 2013, Appl. Math. Comput..

[23]  Ligang Wu,et al.  State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties , 2015, Autom..

[24]  Ligang Wu,et al.  Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems , 2012, Autom..

[25]  Kalyana Chakravarthy Veluvolu,et al.  Sliding mode high-gain observers for a class of uncertain nonlinear systems , 2011, Appl. Math. Lett..

[26]  Yonggui Kao,et al.  A sliding mode approach to H∞ non-fragile observer-based control design for uncertain Markovian neutral-type stochastic systems , 2015, Autom..

[27]  Wei Xing Zheng,et al.  Delay-dependent robust stabilization for uncertain neutral systems with distributed delays , 2007, Autom..

[28]  Shouming Zhong,et al.  Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations , 2013, Appl. Math. Comput..

[29]  Yonggui Kao,et al.  Delay-dependent robust stability of uncertain neutral-type Itô stochastic systems with Markovian jumping parameters , 2015, Appl. Math. Comput..

[30]  Wang Changhong,et al.  Sliding mode H∞ control for a class of uncertain nonlinear state-delayed systems , 2006 .

[31]  Lei Yu,et al.  Exponential stability of linear distributed parameter switched systems with time-delay , 2014, J. Syst. Sci. Complex..

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

[33]  Ligang Wu,et al.  Observer-based sliding mode control for a class of uncertain nonlinear neutral delay systems , 2008, J. Frankl. Inst..

[34]  Yugang Niu,et al.  Observer-based sliding mode control for nonlinear state-delayed systems , 2004, Int. J. Syst. Sci..

[35]  Chang-Hua Lien,et al.  Nonfragile $H_{\infty}$ Control for Uncertain Neutral Systems With Time-Varying Delays via the LMI Optimization Approach , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[36]  Zheng-Guang Wu,et al.  Delay-dependent passivity for singular Markov jump systems with time-delays , 2013, Commun. Nonlinear Sci. Numer. Simul..

[37]  Daniel W. C. Ho,et al.  Robust observer design for Itô stochastic time-delay systems via sliding mode control , 2006, Syst. Control. Lett..