Stabilization of discrete-time switched large scale systems subject to actuator saturation

In this paper a sufficient condition ensuring asymptotic stabilization of the switched large scale interconnected systems is presented, subject to actuator saturation. These condition are obtained by state feedback control and formulated with LMIs. In addition, a non-saturating and saturating controllers are synthesized for both cases in this work. A numerical example is proposed to illustrate our approach.

[1]  Jamal Daafouz,et al.  Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach , 2002, IEEE Trans. Autom. Control..

[2]  Shaocheng Tong,et al.  Decentralized control of switched nonlinear large-scale systems with actuator dead zone , 2016, Neurocomputing.

[3]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[5]  Shaocheng Tong,et al.  Observer-Based Output-Feedback Asynchronous Control for Switched Fuzzy Systems , 2017, IEEE Transactions on Cybernetics.

[6]  Weiming Xiang,et al.  Decentralized weighted H∞ control for a class of large‐scale systems with multi‐modes , 2014 .

[7]  Ahmed El Hajjaji,et al.  Decentralized Control Design for Switching Fuzzy Large-Scale T–S Systems by Switched Lyapunov Function with $$H_\infty $$H∞ Performance , 2019, Int. J. Fuzzy Syst..

[8]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[9]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[10]  Wei-Wei Lin,et al.  Decentralized PDC for large-scale T-S fuzzy systems , 2005, IEEE Transactions on Fuzzy Systems.

[11]  Yuanqing Xia,et al.  Interconnected switched discrete-time systems: robust stability and stabilization , 2011, IMA Journal of Mathematical Control and Information.

[12]  Shaocheng Tong,et al.  Decentralized control design for switched fuzzy large-scale systems with H∞ performance , 2015, Neurocomputing.

[13]  Chang-Chun Sun,et al.  Stabilization for a Class of Discrete-time Switched Large-scale Systems with Parameter Uncertainties , 2019, Int. J. Autom. Comput..

[14]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in System and Control Theory , 1994, Studies in Applied Mathematics.

[15]  Ahmed El Hajjaji,et al.  Stabilization of interconnected T-S fuzzy systems using LMIs , 2016, 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[16]  Dalel Jabri,et al.  Decentralized stabilization of discrete-time large scale switched systems , 2010, 18th Mediterranean Conference on Control and Automation, MED'10.

[17]  Ahmed El Hajjaji,et al.  Stabilization of switching Takagi–Sugeno systems by switched Lyapunov function , 2011 .