Adaptive Asymptotically Tracking Control for Uncertain Strict-feedback Nonlinear Systems With Input Quantization

In this paper, we investigate the output tracking control problem for a class of uncertain nonlinear systems in parametric strict feedback form with quantized input. A novel backstepping based adaptive quantized control scheme is proposed. Different from the existing results, the true quantization parameters are allowed to be unknown in the design of adaptive controller. It is shown that with the proposed control scheme, the system output can track the desired trajectory asymptotically and all the closed-loop signals are globally uniformly bounded.

[1]  D. Delchamps Stabilizing a linear system with quantized state feedback , 1990 .

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

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

[4]  Jing Zhou,et al.  Adaptive backstepping control of uncertain nonlinear systems with input quantization , 2013, 52nd IEEE Conference on Decision and Control.

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

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

[7]  Claudio De Persis,et al.  Discontinuous stabilization of nonlinear systems: Quantized and switching controls , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[8]  Xiaowei Yu,et al.  Adaptive Backstepping Quantized Control for a Class of Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[9]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[10]  Huijun Gao,et al.  A new approach to quantized feedback control systems , 2008, Autom..

[11]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[12]  Claudio De Persis,et al.  Stability of quantized time-delay nonlinear systems: a Lyapunov–Krasowskii-functional approach , 2008, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

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

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

[15]  Naira Hovakimyan,et al.  L1 adaptive controller for systems with input quantization , 2010, Proceedings of the 2010 American Control Conference.

[16]  N. Elia,et al.  Quantized feedback stabilization of non-linear affine systems , 2004 .

[17]  C. L. Philip Chen,et al.  Adaptive asymptotic tracking control of uncertain nonlinear system with input quantization , 2016, Syst. Control. Lett..

[18]  Yan Lin,et al.  Decentralized adaptive tracking control for a class of interconnected nonlinear systems with input quantization , 2017, Autom..

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

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

[21]  Z. Zuo,et al.  Adaptive trajectory tracking control of output constrained multi-rotors systems , 2014 .

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

[23]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .