Reduced-order observer-based output feedback control of nonlinear time-delay systems with prescribed performance

This paper studies the problem of output feedback control for a class of nonlinear time-delay systems with prescribed performance. The system is in the form of triangular structure with unmodelled dynamics. First, we introduce a reduced-order observer to provide the estimate of the unmeasured states. Then, by setting a new condition with the performance function, we design the state transformation with prescribed performance control. By employing backstepping method, we construct the output feedback controller. It is proved that the resulting closed-loop system is asymptotically stable and both transient and steady-state performance of the output are preserved with the changing supply function idea. Finally, a simulation example is conducted to show the effectiveness of the main results.

[1]  Peng Shi,et al.  Robust Output Feedback Tracking Control for Time-Delay Nonlinear Systems Using Neural Network , 2007, IEEE Transactions on Neural Networks.

[2]  Shuzhi Sam Ge,et al.  Practical adaptive neural control of nonlinear systems with unknown time delays , 2005, Proceedings of the 2004 American Control Conference.

[3]  George A. Rovithakis,et al.  Prescribed Performance Output Feedback/Observer-Free Robust Adaptive Control of Uncertain Systems Using Neural Networks , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

[5]  Junmin Li,et al.  Adaptive neural control for a class of nonlinearly parametric time-delay systems , 2005, IEEE Transactions on Neural Networks.

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

[7]  Charalampos P. Bechlioulis,et al.  Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems , 2009, Autom..

[8]  Shuzhi Sam Ge,et al.  Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[9]  Shaocheng Tong,et al.  Adaptive fuzzy backstepping output feedback control for strict feedback nonlinear systems with unknown sign of high-frequency gain , 2012, Neurocomputing.

[10]  Bing Chen,et al.  New results on delay-dependent robust stability of uncertain time delay systems , 2010, Int. J. Syst. Sci..

[11]  Jianhong Wu,et al.  Introduction to Functional Differential Equations , 2013 .

[12]  T. Shen,et al.  Domination Design of Robust Adaptive Controller of Nonlinear Time-Delay Systems based on Lyapunov-Razumikhin Function , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[13]  Songjiao Shi,et al.  Output feedback stabilization for a class of stochastic time-delay nonlinear systems , 2003, IEEE Trans. Autom. Control..

[14]  Shuzhi Sam Ge,et al.  Adaptive neural network control of nonlinear systems with unknown time delays , 2003, IEEE Trans. Autom. Control..

[15]  Charalampos P. Bechlioulis,et al.  Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance , 2008, IEEE Transactions on Automatic Control.

[16]  Yeong-Chan Chang.  Robust adaptive neural tracking control for a class of electrically driven robots with time delays , 2014, Int. J. Syst. Sci..

[17]  Xin-Ping Guan,et al.  Memoryless State Feedback Controller Design for Time Delay Systems With Matched Uncertain Nonlinearities , 2008, IEEE Transactions on Automatic Control.

[18]  Liang Liu,et al.  State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay , 2013, Autom..

[19]  Shengyuan Xu,et al.  Reduced‐order observer‐based output‐feedback tracking control of nonlinear systems with state delay and disturbance , 2010 .

[20]  Mrdjan Jankovic,et al.  Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems , 2001, IEEE Trans. Autom. Control..

[21]  Shengyuan Xu,et al.  Design of robust H ∞ filters for a class of uncertain nonlinear neutral stochastic systems with time delays , 2011, Int. J. Syst. Sci..

[22]  Songjiao Shi,et al.  State feedback stabilization for a class of stochastic time-delay nonlinear systems , 2003, IEEE Trans. Autom. Control..

[23]  Xin-Ping Guan,et al.  Adaptive Fuzzy Output-Feedback Controller Design for Nonlinear Time-Delay Systems With Unknown Control Direction , 2009, IEEE Trans. Syst. Man Cybern. Part B.

[24]  Xin-Ping Guan,et al.  Output Feedback Stabilization for Time-Delay Nonlinear Interconnected Systems Using Neural Networks , 2008, IEEE Transactions on Neural Networks.

[25]  Shaocheng Tong,et al.  Adaptive fuzzy output feedback control of MIMO nonlinear uncertain systems with time-varying delays and unknown backlash-like hysteresis , 2012, Neurocomputing.

[26]  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..