Semiglobal robust backstepping output tracking for strict-feedback form systems with nonlinear uncertainty

Output tracking controller design problem is dealt with for a class of nonlinear systems in strict-feedback form in the presence of time-varying nonlinear uncertainties and unmodeled dynamics with multi-operation points. A new method based on signal compensation is proposed to design a robust controller, which consists of a nominal controller and a robust compensator. It is shown that semiglobal robust tracking property can be achieved. A new feature of our results is that the controller is a linear and time-invariant one and “explosion of complexity” problem is avoided.

[1]  P. Kokotovic,et al.  Global stabilization of partially linear composite systems , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[2]  Petar V. Kokotovic,et al.  Robustness of Adaptive Nonlinear Control to Bounded Uncertainties , 1996, Autom..

[3]  Yisheng Zhong.  Robust output tracking control of SISO plants with multiple operating points and with parametric and unstructured uncertainties , 2002 .

[4]  M. H. Rashid,et al.  Nonlinear speed controllers for series DC motor , 1999, Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems. PEDS'99 (Cat. No.99TH8475).

[5]  Riccardo Marino,et al.  Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems, , 1993, Autom..

[6]  鐘 宜生.  Low-order robust model matching controller design , 1988 .

[7]  Zhihua Qu,et al.  Simplified robust control for nonlinear uncertain systems: a method of projection and online estimation , 2005, Autom..

[8]  Zhihua Qu,et al.  Simplified robust control for nonlinear uncertain systems: a method of projection and online estimation , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[9]  Swaroop Darbha,et al.  Dynamic surface control for a class of nonlinear systems , 2000, IEEE Trans. Autom. Control..

[10]  Miroslav Krstic,et al.  Nonovershooting Control of Strict-Feedback Nonlinear Systems , 2006, IEEE Transactions on Automatic Control.

[11]  R. Marino,et al.  Robust adaptive state-feedback tracking for nonlinear systems , 1998, IEEE Trans. Autom. Control..

[12]  A. Isidori,et al.  New results and examples in nonlinear feedback stabilization , 1989 .

[13]  Zhong-Ping Jiang,et al.  A robust adaptive backstepping scheme for nonlinear systems with unmodeled dynamics , 1999, IEEE Trans. Autom. Control..

[14]  Jaroslav Svoboda,et al.  A new control scheme for nonlinear systems with disturbances , 2006, IEEE Transactions on Control Systems Technology.

[15]  Toshio Fukuda,et al.  A new nonlinear robust disturbance observer , 2000 .

[16]  Chun-Yi Su,et al.  A Novel Robust Nonlinear Motion Controller With Disturbance Observer , 2006, IEEE Transactions on Control Systems Technology.

[17]  Miroslav Krstic,et al.  Robustness of adaptive nonlinear control to bounded uncertainties , 1996 .

[18]  Zhijun Cai,et al.  Robust adaptive asymptotic tracking of nonlinear systems with additive disturbance , 2006, IEEE Transactions on Automatic Control.

[19]  John N. Chiasson,et al.  Nonlinear control of a series DC motor: theory and experiment , 1998, IEEE Trans. Ind. Electron..

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

[21]  R. Lozano-Leal,et al.  Adaptive control of a class of first order nonlinear systems without a priori information on the plant parameters , 1990, 29th IEEE Conference on Decision and Control.

[22]  Toshio Fukuda,et al.  A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems , 2004, IEEE Transactions on Control Systems Technology.

[23]  Hyungbo Shim,et al.  Adding robustness to nominal output-feedback controllers for uncertain nonlinear systems: A nonlinear version of disturbance observer , 2008, Autom..

[24]  I. Kanellakopoulos,et al.  Systematic Design of Adaptive Controllers for Feedback Linearizable Systems , 1991, 1991 American Control Conference.

[25]  Wei Lin,et al.  Practical output tracking of nonlinear systems with uncontrollable unstable linearization , 2002, IEEE Trans. Autom. Control..

[26]  John Tsinias,et al.  Sufficient lyapunov-like conditions for stabilization , 1989, Math. Control. Signals Syst..

[27]  M. Arcak,et al.  A Two-Time-Scale Redesign for Robust Stabilization and Performance Recovery of Uncertain Nonlinear Systems , 2007, 2007 American Control Conference.

[28]  Eduardo Sontag,et al.  Further comments on the stabilizability of the angular velocity of a rigid body , 1989 .

[29]  Jin Bae Park,et al.  Adaptive dynamic surface control for disturbance attenuation of nonlinear systems , 2009 .

[30]  Jie Huang,et al.  Continuous feedback asymptotic output regulation for a class of nonlinear systems having nonstabilizable linearization , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[31]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[32]  Riccardo Marino,et al.  An extended direct scheme for robust adaptive nonlinear control , 1991, Autom..

[33]  Changyun Wen,et al.  Decentralized adaptive control using integrator backstepping , 1997, Autom..

[34]  P. Kokotovic,et al.  Backstepping Design of Robust Controllers for a Class of Nonlinear Systems , 1992 .

[35]  Zhong-Ping Jiang,et al.  Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties , 2006, IEEE Transactions on Automatic Control.

[36]  Haibo Ji,et al.  Robust control design of a class of nonlinear systems in polynomial lower-triangular form , 2009 .

[37]  Hui-Wen Tu,et al.  LMI-Based Adaptive Tracking Control for Parametric Strict-Feedback Systems , 2008, IEEE Transactions on Fuzzy Systems.