Nonlinear L1 Optimal Controllers for Linear Systems

IEEE Transactions on Automatic Control

Volumn 40, Issue 4, 1995, Pages 694-696

  Stoorvogel, A A ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; TIME VARYING CONTROL SYSTEMS; VECTORS;

FINITE DIMENSIONAL OPTIMIZATION PROBLEM; OPTIMAL CONTROL PROBLEM;

NONLINEAR CONTROL SYSTEMS;

EID: 0029288624     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.376108     Document Type: Article

References (8)

1. A. E Barabanov and O. N. Granichin, “Optimal controller for a linear plant with bounded noise,” Avtomatika i Telemekhanika, vol. 5, pp. 39-46, 1984.
2. M. A. Dahleh and J. B. Pearson, “L1-optimal compensators for continuous-time systems,” IEEE Trans. Autmat. Contr., vol. 32, pp. 889-895, 1987.
3. —, “l1-optimal compensators for MIMO discrete-time systems,” IEEE Trans. Autmat. Contr., vol. 32, pp. 314-322, 1987.
4. M. A. Dahleh and J. S. Shamma, “Rejection of persistent bounded disturbances: Nonlinear controllers,” Syst. Contr. Let., vol. 18 pp. 245-252, 1992.
5. I. J. Diaz-Bobillo and M. A. Dahleh, “Minimization of the maximum peak-to-peak gain: the general multiblock problem,” IEEE Trans. Automat. Contr., vol. 38, pp. 1459-1482, 1993.
6. P. P. Khargonekar and K. R. Poolla, “Uniformly optimal control of linear time-varying plants: nonlinear time-varying controllers,” Syst. Contr. Lett., vol. 5 pp. 303-308, 1986.
7. J. S. Shamma, “Nonlinear state feedback for f1 optimal control,” Syst. Contr. Lett., vol. 21, pp. 265-270, 1993.
8. M. Vidyasagar, “Optimal rejection of persistent bounded disturbances,” IEEE Trans. Autmat. Contr., vol. 31, pp. 527-534, 1986.