Observer-Based Fuzzy Control for Memristive Circuit Systems

This paper proposes an observer-based fuzzy control scheme for a class of memristive chaotic circuit systems. First, the Takagi-Sugeno fuzzy model is adopted to reconstruct the nonlinear chaotic circuit system. Next, based on the proposed fuzzy model, an observer-based fuzzy controller is developed to estimate the states and stabilize the origin. Third, the results are extended to explore the -gain observer-based fuzzy control for the chaotic system with disturbances. Finally, simulation results are also addressed to show the effectiveness of the proposed control scheme.

[1]  Chung-Shi Tseng,et al.  Fuzzy observer-based fuzzy control design for nonlinear systems with persistent bounded disturbances , 2007, Fuzzy Sets Syst..

[2]  Laurent El Ghaoui,et al.  2. Some Standard Problems Involving LMIs , 1994 .

[3]  Kyungmin Kim,et al.  Memristor Applications for Programmable Analog ICs , 2011, IEEE Transactions on Nanotechnology.

[4]  X. Lou,et al.  Input-to-State Stability of Stochastic Memristive Neural Networks with Time-Varying Delay , 2015 .

[5]  Hongxia Wang,et al.  Efficient Image Encryption Using a Chaos-based PWL Memristor , 2010 .

[6]  Giuseppe Grassi,et al.  On the simplest fractional-order memristor-based chaotic system , 2012 .

[7]  Massimiliano Di Ventra,et al.  Experimental demonstration of associative memory with memristive neural networks , 2009, Neural Networks.

[8]  Leon O. Chua,et al.  Memristor oscillators , 2008, Int. J. Bifurc. Chaos.

[9]  Ricardo G. Sanfelice,et al.  Robust Stability of Hybrid Limit Cycles With Multiple Jumps in Hybrid Dynamical Systems , 2018, IEEE Transactions on Automatic Control.

[10]  Dawei Ding,et al.  Hopf bifurcation and chaos in a fractional order delayed memristor-based chaotic circuit system , 2017 .

[11]  Zhigang Zeng,et al.  Observer-based synchronization of memristive systems with multiple networked input and output delays , 2014 .

[12]  Zhong Qi-Shui,et al.  Fuzzy Modeling and Impulsive Control of a Memristor-Based Chaotic System , 2010 .

[13]  Antoine Dequidt,et al.  An augmented system approach for LMI-based control design of constrained Takagi-Sugeno fuzzy systems , 2017, Eng. Appl. Artif. Intell..

[14]  Xuyang Lou,et al.  A new approach to optimal control of conductance-based spiking neurons , 2017, Neural Networks.

[15]  Guodong Zhang,et al.  Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control , 2014, Neural Networks.

[16]  Johan A. K. Suykens,et al.  Hybrid Coupled Local Minimizers , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Z. Zeng,et al.  Fuzzy modeling and synchronization of different memristor-based chaotic circuits ☆ , 2013 .

[18]  L. Chua.  Memristor-The missing circuit element , 1971 .

[19]  Claire J. Tomlin,et al.  Nonlinear systems: analysis, stability, and control, Shankar Sastry, Springer‐Verlag, New York, NY, 1999, 667 pages. ISBN 0‐387‐98513‐1. , 2001 .

[20]  Sallee Klein,et al.  Memristive Adaptive Filters , 2010 .

[21]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.