Fuzzy-model-based distributed sampled-data control and its application to a DC microgrid

The problem of distributed sampled-data control for large-scale fuzzy interconnected systems is studied. In each fuzzy subsystem, the sampling instants of sensors and the updating instants of actuators are asynchronous. We introduce a Lyapunov-Krasovskii functional (LKF) by the virtue of Wirtinger-type inequality, and combine with some linearization techniques of matrix inequality. The design result on distributed sampled-data fuzzy control for the large-scale fuzzy systems is derived in the form of LMIs. A direct current (DC) microgrid model and its simulation results are provided to verify the efficacy of the proposed method.

[1]  W. Marsden I and J , 2012 .

[2]  Hak-Keung Lam,et al.  Asynchronous Piecewise Output-Feedback Control for Large-Scale Fuzzy Systems via Distributed Event-Triggering Schemes , 2018, IEEE Transactions on Fuzzy Systems.

[3]  Hongbin Zhang,et al.  Delay-dependent decentralised H α filtering for fuzzy interconnected systems with time-varying delay based on Takagi¿Sugeno fuzzy model , 2013 .

[4]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[5]  Dragoslav D. Šiljak,et al.  Large-Scale Dynamic Systems: Stability and Structure , 1978 .

[6]  Wei Xing Zheng,et al.  Distributed ℋ∞ Filtering for a Class of Discrete-Time Markov Jump Lur'e Systems With Redundant Channels , 2016, IEEE Trans. Ind. Electron..

[7]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[8]  Hak-Keung Lam,et al.  Fuzzy Sampled-Data Control for Uncertain Vehicle Suspension Systems , 2014, IEEE Transactions on Cybernetics.

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

[10]  Lubomír Bakule,et al.  Decentralized control: Status and outlook , 2014, Annu. Rev. Control..

[11]  Magdi S. Mahmoud,et al.  Decentralized sliding-mode output-feedback control of interconnected discrete-delay systems , 2012, Autom..

[12]  Luis Rodrigues,et al.  Stability and stabilization of linear sampled-data systems with multi-rate samplers and time driven zero order holds , 2014, Autom..

[13]  Antonio Sala,et al.  Extensions to “Stability Analysis of Fuzzy Control Systems Subject to Uncertain Grades of Membership” , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Jianbin Qiu,et al.  Asynchronous Output-Feedback Control of Networked Nonlinear Systems With Multiple Packet Dropouts: T–S Fuzzy Affine Model-Based Approach , 2011, IEEE Transactions on Fuzzy Systems.

[15]  Changchun Hua,et al.  Decentralized Networked Control System Design Using T–S Fuzzy Approach , 2012, IEEE Transactions on Fuzzy Systems.

[16]  Michael F. Ashby,et al.  Actuator Classification and Selection—The Development of a Database , 2002 .

[17]  Chih-Min Lin,et al.  Decentralized Event-Triggered Control for Large-Scale Networked Fuzzy Systems , 2018, IEEE Transactions on Fuzzy Systems.

[18]  Chih-Min Lin,et al.  Large-Scale Fuzzy Interconnected Control Systems Design and Analysis , 2017 .