Tools and procedures for robust control of nonlinear systems

We review some of the existing results on the Lyapunov design of robustly stabilizing feedback laws for uncertain nonlinear systems. Using the concept of a robust control Lyapunov function, we present robust backstepping tools and demonstrate how they can be used in systematic design procedures.<<ETX>>

[1]  B. Barmish,et al.  On guaranteed stability of uncertain linear systems via linear control , 1981 .

[2]  A. Isidori,et al.  Asymptotic stabilization of minimum phase nonlinear systems , 1991 .

[3]  A. Isidori,et al.  Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems , 1992 .

[4]  P. Kokotovic,et al.  The peaking phenomenon and the global stabilization of nonlinear systems , 1991 .

[5]  M. Corless,et al.  A new class of stabilizing controllers for uncertain dynamical systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[6]  J. Tsinias Optimal controllers and output feedback stabilization , 1990 .

[7]  Tamer Başar,et al.  H1-Optimal Control and Related Minimax Design Problems , 1995 .

[8]  A. Astolfi Disturbance Attenuation and H,-Control Via Measurement Feedback in , 1992 .

[9]  Zongli Lin,et al.  Robust semi-global stabilization of minimum-phase input-output linearizable systems via partial state and output feedback , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[10]  J. Coron,et al.  Adding an integrator for the stabilization problem , 1991 .

[11]  Z. Artstein Stabilization with relaxed controls , 1983 .

[12]  Zongli Lin,et al.  Robust semiglobal stabilization of minimum-phase input-output linearizable systems via partial state and output feedback , 1995, IEEE Trans. Autom. Control..

[13]  G. Leitmann,et al.  Robustness of uncertain systems in the absence of matching assumptions , 1987 .

[14]  Tamer Basar,et al.  H∞-Optimal Control and Related , 1991 .

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

[16]  A. Isidori Nonlinear Control Systems , 1985 .

[17]  P. Kokotovic,et al.  Global robustness of nonlinear systems to state measurement disturbances , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[18]  Riccardo Marino,et al.  SELF-TUNING STABILIZATION OF FEEDBACK LINEARIZABLE SYSTEMS1 , 1993 .

[19]  Eduardo Sontag A Lyapunov-Like Characterization of Asymptotic Controllability , 1983, SIAM Journal on Control and Optimization.

[20]  S. Torkel Glad Robustness of nonlinear state feedback - A survey , 1987, Autom..

[21]  I. Kanellakopoulos,et al.  A toolkit for nonlinear feedback design , 1992 .

[22]  A. Teel,et al.  Tools for Semiglobal Stabilization by Partial State and Output Feedback , 1995 .

[23]  Randy A. Freeman,et al.  Design and Comparison of Globally Stabilizing Controllers for an Uncertain Nonlinear System , 1992 .

[24]  John Tsinias Asymptotic feedback stabilization: a sufficient condition for the existence of control Lyapunov functions , 1991 .

[25]  J. Slotine,et al.  Robust input-output feedback linearization , 1993 .

[26]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[27]  Y.H. Chen,et al.  A New Matching Condition for Robust Control Design , 1993, 1993 American Control Conference.

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

[29]  Zhihua Qu,et al.  Robust Control of Nonlinear Uncertain Systems Under Generalized Matching Conditions , 1993, 1993 American Control Conference.

[30]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[31]  P. Kokotovic,et al.  A positive real condition for global stabilization of nonlinear systems , 1989 .

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

[33]  Eduardo Sontag A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[34]  Henry Hermes,et al.  Asymptotically stabilizing feedback controls and the nonlinear regulator problem , 1991 .

[35]  Petar V. Kokotovic,et al.  Design of 'softer' robust nonlinear control laws , 1993, Autom..

[36]  Y. Chen A new matching condition for nonlinear robust control design , 1995 .