Robust stabilization via saturated feedback

In this paper, we deal with the problem of stabilization of uncertain systems in the presence of input constraint. First algebraic conditions are derived for input-to-state stability of linear system with saturated linear feedback of low dimension. Then a recursive design procedure is derived for robust stabilization of block upper triangular nonlinear systems with feedforward structure.

[1]  A. Isidori,et al.  Robust global stabilization of a class of uncertain feedforward nonlinear systems , 2000 .

[2]  Eduardo Sontag,et al.  On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation , 1996 .

[3]  Eduardo Sontag,et al.  New characterizations of input-to-state stability , 1996, IEEE Trans. Autom. Control..

[4]  F. V. Vleck,et al.  Stability and Asymptotic Behavior of Differential Equations , 1965 .

[5]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[6]  David Angeli,et al.  A characterization of integral input-to-state stability , 2000, IEEE Trans. Autom. Control..

[7]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

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

[9]  Eduardo Sontag,et al.  A general result on the stabilization of linear systems using bounded controls , 1994, IEEE Trans. Autom. Control..

[10]  Y. Chitour On the Lp-stabilization of the double integrator subject to input saturation , 2001 .

[11]  Edoardo Mosca,et al.  Global predictive regulation of null-controllable input-saturated linear systems , 1999, IEEE Trans. Autom. Control..

[12]  Luca Zaccarian,et al.  A Benchmark Example for Anti-windup Synthesis in Active Vibration Isolation Tasks and an L2 Anti-windup Solution , 2000, Eur. J. Control.

[13]  Bernhard Maschke,et al.  Dissipative Systems Analysis and Control , 2000 .

[14]  F. M. Callier,et al.  Dissipative Systems Analysis and Control: Theory and Applications (2nd Edition)-[Book review; B. Brogliato, R. Lozano, B. Maschke] , 2007, IEEE Transactions on Automatic Control.

[15]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[16]  A. Fuller In-the-large stability of relay and saturating control systems with linear controllers , 1969 .

[17]  A. Teel A nonlinear small gain theorem for the analysis of control systems with saturation , 1996, IEEE Trans. Autom. Control..