Exact tracking control of nonlinear systems with time delays and dead-zone input

This paper is concerned with the control design problem for a class of nonlinear systems with the state time-varying time delays and nonsymmetric dead zone. The problem addressed is to design adaptive controllers that guarantee the exact tracking of a given reference signal. Two continuous robust adaptive control schemes are proposed. A positive nonlinear control gain function, which is not required to satisfy an inequality but is expressed explicitly, is carefully constructed and is used in the control law and adaptive law. An illustrative example is provided to demonstrate the validity of the proposed design method.

[1]  Shuzhi Sam Ge,et al.  Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs , 2007, Autom..

[2]  Jin Bae Park,et al.  Decentralized adaptive stabilization of interconnected nonlinear systems with unknown non-symmetric dead-zone inputs , 2009, Autom..

[3]  Xin-Ping Guan,et al.  Adaptive Tracking Controller Design of Nonlinear Systems With Time Delays and Unknown Dead-Zone Input , 2008, IEEE Transactions on Automatic Control.

[4]  Sung Jin Yoo,et al.  Decentralised adaptive control of a class of interconnected non-linear systems with unknown time delays and dead-zone inputs [Brief Paper] , 2010 .

[5]  Hansheng Wu,et al.  Adaptive robust control of uncertain nonlinear systems with nonlinear delayed state perturbations , 2009, Autom..

[6]  Jing Zhou,et al.  Decentralized adaptive control for large-scale time-delay systems with dead-zone input , 2008, Autom..

[7]  Keng Peng Tee,et al.  Approximation-based control of nonlinear MIMO time-delay systems , 2007, Autom..

[8]  Iasson Karafyllis,et al.  Stabilization of nonlinear delay systems using approximate predictors and high-gain observers , 2013, Autom..

[9]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Tracking Backstepping Control of Strict-Feedback Nonlinear Systems With Unknown Dead Zones , 2012, IEEE Transactions on Fuzzy Systems.

[10]  C.-K. Lin,et al.  Adaptive tracking controller design for robotic systems using Gaussian wavelet networks , 2002 .

[11]  Kuo-Kai Shyu,et al.  Design of large-scale time-delayed systems with dead-zone input via variable structure control , 2005, Autom..

[12]  Sing Kiong Nguang,et al.  Robust stabilization of a class of time-delay nonlinear systems , 2000, IEEE Trans. Autom. Control..

[13]  Ying Zhang,et al.  Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity , 2006, IEEE Transactions on Automatic Control.

[14]  Chun-Yi Su,et al.  Adaptive tracking of nonlinear systems with non-symmetric dead-zone input , 2007, Autom..

[15]  Gang Tao,et al.  Adaptive control of plants with unknown dead-zones , 1994 .

[16]  Gang Tao,et al.  Adaptive Control of Plants with Unknown Dead-zones , 1992, 1992 American Control Conference.

[17]  Bing Chen,et al.  Novel adaptive neural control design for nonlinear MIMO time-delay systems , 2009, Autom..

[18]  Shengyuan Xu,et al.  Asymptotic Tracking Control of Uncertain Nonlinear Systems With Unknown Actuator Nonlinearity , 2014, IEEE Transactions on Automatic Control.