On ${ℒ}_2$ performance induced by feedbacks with multiple saturations

 Access to full text

 Full (PDF)

1. [1] H.K. Khalil: Nonlinear Systems, Macmillan Publishing Company, 1992. Zbl0969.34001MR1201326
2. [2] W. Liu, Y. Chitour and E. Sontag: On finite gain stabilizability of linear Systems subject to input saturation, SIAM J. Control and Optimization, vol. 34, no. 4, 1996. Zbl0855.93077MR1395830
3. [3] A. Megretski: L2 BIBO output feedback stabilization with saturated control, l3th World Congress of IFAC, pages 435-440, Volume D, San Francisco, California, 1996. 
4. [4] H.J. Sussmann, E. D. Sontag, and Y. Yang: A general result on the stabilization of linear systems using bounded controls, IEEE Transactions on Automatic Control, 39(12): 2411-2425, 1994. Zbl0811.93046MR1337566
5. [5] A.R. Teel: Global stabilization and restricted tracking for multiple integrators with bounded controls, Systems and Control Letters, 18(3): 165-171, 1992. Zbl0752.93053MR1153225
6. [6] A.R. Teel: Using saturation to stabilize single-input partially linear composite nonlinear Systems, in Proceedings of the IFAC Nonlinear Control Systems Design Symposium, pages 224-229, Bordeaux, France, June 1992. 
7. [7] A.R. Teel: Additional stability results with bounded controls, in Proceedings of 33rd IEEE Conference on Decision and Control, pp. 133-137, Orlando, FL., 1994. 
8. [8] A.R. Teel: Examples of stabilization using saturation: an input-output approach, in Proceedings of the IFAC Nonlinear Control Systems Design Symposium, pages 232-237, Lake Tahoe, CA, June 1995. 
9. [9] A.R. Teel: Linear Systems with input nonlinearities: global stabilization by scheduling a family of H∞-type controllers, Int. J. of Robust and Nonlinear Control, vol. 5, 399-411, 1995. Zbl0834.93040MR1346407
10. [10] A.R. Teel: A nonlinear small gain theorem for the analysis of control Systems with saturation, IEEE Transactions Automatic Control, September, 1996. Zbl0863.93073