Performance limitations of nonlinear periodic sampled-data controllers for Lp disturbance rejection

This note presents a performance analysis of periodic nonlinear sampled-data controllers for the rejection of L/sub p/ specific and uniform disturbances. Earlier results on the performance of linear periodic controllers are extended to nonlinear controllers. For a given periodic controller, a time invariant controller is constructed which in general gives strictly better L/sub p/ disturbance rejection performance than the periodic controller.

[1]  Yung-Chun Wu,et al.  Optimal periodic control implemented as a generalized sampled-data hold output feedback control , 1993, IEEE Transactions on Automatic Control.

[2]  J. Shamma,et al.  Rejection of persistent bounded disturbances: nonlinear controllers , 1992 .

[3]  K. Poolla,et al.  Nonlinear time-varying controllers for robust stabilization , 1987 .

[4]  David Q. Mayne,et al.  Feedback limitations in nonlinear systems: from Bode integrals to cheap control , 1999, IEEE Trans. Autom. Control..

[5]  Sarit K. Das,et al.  Simultaneous stabilization of two discrete-time plants using a 2-periodic controller , 2001, IEEE Trans. Autom. Control..

[6]  O. Egeland,et al.  A Lyapunov approach to exponential stabilization of nonholonomic systems in power form , 1997, IEEE Trans. Autom. Control..

[7]  A. Saberi,et al.  Cheap and singular controls for linear quadratic regulators , 1985, 1985 24th IEEE Conference on Decision and Control.

[8]  K. Poolla,et al.  Uniformly optimal control of linear time-invariant plants: Nonlinear time-varying controllers , 1986 .

[9]  Cishen Zhang,et al.  Performance of periodically time-varying controllers for sampled data control , 1999, IEEE Trans. Autom. Control..

[10]  Edward J. Davison,et al.  Performance limitations of non-minimum phase systems in the servomechanism problem, , 1993, Autom..

[11]  Bassam Bamieh,et al.  A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control , 1992 .

[12]  A. Stoorvogel Nonlinear L/sub 1/ optimal controllers for linear systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[13]  M. Dahleh,et al.  Analysis of time-varying control strategies for optimal disturbance rejection and robustness , 1992 .