Adaptive fuzzy tracking control of nonlinear systems with input time delay

This paper proposes an adaptive fuzzy logic tracking control for unknown nonlinear systems having input time delay. In the controller design, a filtered tracking error to facilitate handling of the time delay and fuzzy approximation of nonlinear function are introduced. Lyapunov stability analysis shows that the designed tracking control yields bounded signals of the closed-loop system. Two simulation examples are provided to prove the effectiveness of the proposed controller in achieving tracking with bounded control signals.

[1]  Bing Chen,et al.  Adaptive control for nonlinear MIMO time-delay systems based on fuzzy approximation , 2013, Inf. Sci..

[2]  Hee-Sub Shin,et al.  Feedback linearization of uncertain nonlinear systems with time delay = 시간 지연을 갖는 불확실한 비선형 시스템의 궤환 선형화 , 2004 .

[3]  Young-Hoon Roh,et al.  Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation , 1999, Autom..

[4]  Bing Chen,et al.  Fuzzy-Approximation-Based Adaptive Control of Strict-Feedback Nonlinear Systems With Time Delays , 2010, IEEE Transactions on Fuzzy Systems.

[5]  Shengyuan Xu,et al.  Adaptive Output Feedback Control for Nonlinear Time-Delay Systems by Fuzzy Approximation Approach , 2013, IEEE Transactions on Fuzzy Systems.

[6]  Bing Chen,et al.  Direct adaptive fuzzy control for nonlinear systems with time-varying delays , 2010, Inf. Sci..

[7]  Nikolaos Bekiaris-Liberis,et al.  Compensation of state-dependent input delay for nonlinear systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[8]  Aiguo Song,et al.  Fuzzy adaptive control of delayed high order nonlinear systems , 2012, Int. J. Autom. Comput..

[9]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..

[10]  Atsushi Watanabe,et al.  Input Output Linearization of Multivariable Nonlinear Systems with Input Time Delays. Compensation of Time Delay Using Smith-like Predictor. , 1994 .

[11]  Jong-Tae Lim,et al.  Asymptotic stabilization of an input-delayed chain of integrators with nonlinearity , 2010, Syst. Control. Lett..

[12]  Miroslav Krstic,et al.  Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems , 2010, IEEE Transactions on Automatic Control.

[13]  Warren E. Dixon,et al.  Saturated control of an uncertain nonlinear system with input delay , 2013, Autom..

[14]  Xin-Ping Guan,et al.  Robust Adaptive Controller Design for Nonlinear Time-Delay Systems via T–S Fuzzy Approach , 2009, IEEE Transactions on Fuzzy Systems.

[15]  Jong-Tae Lim,et al.  Feedback linearisation of uncertain nonlinear systems with time delay , 2006 .

[16]  Sangchul Won,et al.  Note on Robust Stabilization of Uncertain Input-delay Systems by Sliding Mode Control With Delay Compensation , 2002 .

[17]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[18]  Hassan Yousef,et al.  Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems , 2013, Int. J. Autom. Comput..

[19]  Claude H. Moog,et al.  Input-output feedback linearization of time-delay systems , 2004, IEEE Transactions on Automatic Control.

[20]  Mohamed Hamdy,et al.  Adaptive Fuzzy-Based Tracking Control for a Class of Strict-Feedback SISO nonlinear Time-Delay Systems without backstepping , 2012, Int. J. Uncertain. Fuzziness Knowl. Based Syst..