Global robust stabilization of nonlinear cascaded systems

A sufficient condition is given for a class of nonlinear cascaded systems to be globally stabilizable via state feedback in the presence of uncertainty. This condition does not necessarily satisfy the so-called matching condition. The authors' result is an extension of former stabilization results that treated systems without uncertainty, in the sense that the uncertainty is now taken into account. In addition, it is shown that their result is effective in the global robust stabilization of a class of input-output linearizable systems.<<ETX>>

[1]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

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

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

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

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

[6]  Romeo Ortega,et al.  On global stabilization of cascaded nonlinear systems , 1990, 29th IEEE Conference on Decision and Control.

[7]  L. Fu,et al.  Globally stable robust tracking of nonlinear systems using variable structure control and with an application to a robotic manipulator , 1990 .

[8]  Ali Saberi,et al.  Observer-based control of uncertain systems with non-linear uncertainties , 1990 .

[9]  R. Suárez,et al.  Global stabilization of nonlinear cascade systems , 1990 .

[10]  Eduardo Sontag.  Remarks on stabilization and input-to-state stability , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

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

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

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

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

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

[16]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[17]  P. Kokotovic,et al.  Feedback linearization in the presence of uncertainties , 1988 .

[18]  A. Isidori,et al.  Local stabilization of minimum-phase nonlinear systems , 1988 .

[19]  P. Khargonekar,et al.  Robust Stabilization of Uncertain Systems , 1988, 1988 American Control Conference.

[20]  R. Marino.  Feedback stabilization of single-input nonlinear systems , 1988 .

[21]  M. Corless,et al.  Robustness of a Class of Feedback-Controlled Uncertain Nonlinear Systems in the Presence of Singular Perturbations , 1987, 1987 American Control Conference.

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

[23]  George Leitmann,et al.  Feedback control of uncertain systems: robustness with respect to neglected actuator and sensor dynamics† , 1986 .

[24]  G. Ambrosino,et al.  Robust model tracking control for a class of nonlinear plants , 1985 .

[25]  E. Noldus.  Design of robust state feedback laws , 1982 .

[26]  Ali Saberi,et al.  Quadratic-type Lyapunov functions for singularly perturbed systems , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

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

[28]  S. Gutman.  Uncertain dynamical systems--A Lyapunov min-max approach , 1979 .

[29]  R. Suárez,et al.  Global stabilization of a certain class of nonlinear systems , 1991 .

[30]  S. Behtash.  Robust output tracking for non-linear systems , 1990 .

[31]  H. Sussmann.  Limitations on the stabilizability of globally-minimum-phase systems , 1990 .

[32]  Eduardo Sontag.  Further facts about input to state stabilization , 1990 .

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