Decentralized adaptive tracking control for a class of interconnected nonlinear systems with input quantization

Abstract In this paper, a decentralized output-feedback adaptive control scheme is proposed for a class of interconnected nonlinear systems with input quantization. Both logarithmic quantizers and improved hysteretic quantizers are studied, and a linear time-varying model is introduced to handle the difficulty caused by quantization. The proposed scheme allows the parameters of the quantizers to be freely changed during operation, and can guarantee global stability of the overall closed-loop system regardless of the coarseness of the quantizers and the existence of interactions among subsystems. Moreover, with the aid of a kind of high-gain K-filters, it is shown that all tracking errors converge to a residual set which can be made arbitrarily small by adjusting some design parameters. Simulation results are presented to illustrate the effectiveness of the proposed scheme.

[1]  Yan Lin,et al.  Output‐feedback robust adaptive backstepping control for a class of multivariable nonlinear systems with guaranteed L∞ tracking performance , 2013 .

[2]  C. Wen.  Decentralized adaptive regulation , 1994, IEEE Trans. Autom. Control..

[3]  Zhong-Ping Jiang,et al.  A sector bound approach to feedback control of nonlinear systems with state quantization , 2012, Autom..

[4]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[5]  João Pedro Hespanha,et al.  Stabilization of nonlinear systems with limited information feedback , 2005, IEEE Transactions on Automatic Control.

[6]  Hongye Su,et al.  A new adaptive control scheme for uncertain nonlinear systems with quantized input signal , 2015, J. Frankl. Inst..

[7]  David J. Hill,et al.  Global boundedness of discrete-time adaptive control just using estimator projection , 1992, Autom..

[8]  Daniel Liberzon,et al.  Finite data-rate feedback stabilization of switched and hybrid linear systems , 2014, Autom..

[9]  Claudio De Persis,et al.  n-bit stabilization of n-dimensional nonlinear systems in feedforward form , 2004, IEEE Transactions on Automatic Control.

[10]  Tomohisa Hayakawa,et al.  Adaptive quantized control for nonlinear uncertain systems , 2006 .

[11]  Zhong-Ping Jiang,et al.  Small-Gain Based Output-Feedback Controller Design for a Class of Nonlinear Systems With Actuator Dynamic Quantization , 2012, IEEE Transactions on Automatic Control.

[12]  Zhong-Ping Jiang,et al.  Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback , 2000, IEEE Trans. Autom. Control..

[13]  Petar V. Kokotovic,et al.  Decentralized adaptive control of interconnected systems with reduced-order models , 1985, Autom..

[14]  Yan Lin,et al.  Decentralized adaptive tracking control for a class of interconnected nonlinear time-varying systems , 2015, Autom..

[15]  Charalampos P. Bechlioulis,et al.  Robust Partial-State Feedback Prescribed Performance Control of Cascade Systems With Unknown Nonlinearities , 2011, IEEE Transactions on Automatic Control.

[16]  Jing Zhou,et al.  Decentralized Backstepping Adaptive Output Tracking of Interconnected Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

[17]  Lin Shi,et al.  Decentralized Adaptive Controller Design For Large-Scale Systems With Higher-Order Interconnections , 1992, 1992 American Control Conference.

[18]  Claudio De Persis,et al.  Discontinuities and hysteresis in quantized average consensus , 2010, Autom..

[19]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[20]  Hongye Su,et al.  Output feedback control for uncertain nonlinear systems with input quantization , 2016, Autom..

[21]  Guang-Hong Yang,et al.  Adaptive Backstepping Stabilization of Nonlinear Uncertain Systems With Quantized Input Signal , 2014, IEEE Transactions on Automatic Control.

[22]  Tomohisa Hayakawa,et al.  Adaptive quantized control for linear uncertain discrete-time systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[23]  Claudio De Persis.  Robust Stabilization of Nonlinear Systems by Quantized and Ternary Control , 2008 .

[24]  Maria Letizia Corradini,et al.  On the robust quantized feedback stabilization of linear systems , 2007, 2007 European Control Conference (ECC).

[25]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Dynamic Surface Control of Interconnected Nonlinear Pure-Feedback Systems , 2015, IEEE Transactions on Cybernetics.