Reliable Resilient Finite-Time Control for Stabilization of Hyperchaotic Fractional-Order Systems

This brief focuses on finite-time stabilization of a four-dimensional fractional-order hyperchaotic system via reliable resilient controller. The stability theory of Lyapunov and the optimization technique based on linear matrix inequality are combined together to establish a reliable feedback controller which guarantees finite-time boundedness of the considered system affected by actuator failures, gain fluctuations and parametric uncertainties. Finally, the simulation results, demonstrates that the proposed control design scheme is an effective one. Moreover, the simulation shows that the proposed control design can achieve good performance in spite of the presence of fluctuations in control gain.

[1]  Yong Zhou,et al.  Non-fragile observer-based robust control for a class of fractional-order nonlinear systems , 2013, Syst. Control. Lett..

[2]  C. Ahn.  T–S fuzzy ℋ∞ synchronization for chaotic systems via delayed output feedback control , 2010 .

[3]  Yujing Shi,et al.  Finite-time synchronization of time-delayed neural networks with unknown parameters via adaptive control , 2018, Neurocomputing.

[4]  Viet-Thanh Pham,et al.  A Novel Four-Dimensional Hyperchaotic Four-Wing System With a Saddle–Focus Equilibrium , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Julien Clinton Sprott,et al.  A New Piecewise Linear Hyperchaotic Circuit , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Guanrong Chen,et al.  Controlling a unified chaotic system to hyperchaotic , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[7]  Yongai Zheng,et al.  Fuzzy prediction-based feedback control of fractional order chaotic systems , 2015 .

[8]  Lei Wu,et al.  Stabilization for a class of chaotic and hyperchaotic systems with constant switch control strategy , 2016 .

[9]  Yue-E Wang,et al.  Finite-time stability and finite-time boundedness of fractional order linear systems , 2016, Neurocomputing.

[10]  Abdelkrim Boukabou,et al.  Predictive feedback control and synchronization of hyperchaotic systems , 2014, Appl. Math. Comput..

[11]  Mohamed Darouach,et al.  Static output feedback ℋ∞ control for a fractional-order glucose-insulin system , 2013 .

[12]  Fuad E. Alsaadi,et al.  Finite-time stabilization for a class of nonlinear systems via optimal control , 2018, Math. Comput. Simul..

[13]  Ayub Khan,et al.  Multi-switching dual compound synchronization of chaotic systems , 2018 .

[14]  Chun-Lai Li,et al.  Robust control for fractional-order four-wing hyperchaotic system using LMI , 2013 .

[15]  Yan Shi,et al.  Disturbance-Observer-Based Robust Synchronization Control for a Class of Fractional-Order Chaotic Systems , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  Ju H. Park,et al.  Exponential synchronization for fractional-order chaotic systems with mixed uncertainties , 2015, Complex..

[17]  Shuang Li,et al.  Finite-time stabilization for hyper-chaotic Lorenz system families via adaptive control , 2013 .

[18]  Antonio Loría.  Master–Slave Synchronization of Fourth-Order Lü Chaotic Oscillators via Linear Output Feedback , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[19]  Xin-Ping Guan,et al.  Necessary and Sufficient Stability Criteria for a Class of Fractional-Order Delayed Systems , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.