Optimal nonlinear-nonquadratic feedback control for nonlinear discrete-time systems with l2 and l∞ disturbances

Nonlinear Analysis, Theory, Methods and Applications

Volumn 41, Issue 3, 2000, Pages 287-312

  Haddad, Wassim M ^a   Chellaboina, Vijaya Sekhar ^a   Wu, Weikun ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

BELLMAN EQUATION; CONTROL LYAPUNOV FUNCTION; DISSIPATIVITY; NONLINEAR DISTURBANCE REJECTION PROBLEM; NONLINEAR FEEDBACK CONTROL; NONQUADRATIC FEEDBACK CONTROL; PASSIVITY;

NONLINEAR CONTROL SYSTEMS;

EID: 0034230649     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00279-X     Document Type: Article

References (9)

1. P.E. Caines, Linear Stochastic Systems, Wiley, New York, NY, 1988.
2. G.C. Goodwin, K.S. Sin, Adaptive Filtering Prediction and Control, Prentice-Hall, Englewood Cliffs, NJ, 1984.
3. ∞ regulation and estimation: The discrete-time case, Sys. Contr. Lett. 16 (1991) 235-247.
4. W.M. Haddad, D.S. Bernstien, Robust stabilization with positive real uncertainty: Beyond the small gain theorem, Sys. Contr. Lett. 17 (1991) 191-208.
5. W.M. Haddad, V.S. Chellaboina, Discrete-time nonlinear feedback control with nonquadratic performance criteria, J. Franklin Inst. 333B (1996) 849-860.
6. ∞ disturbances, Nonlinear Anal.: Theory Methods Appl. 34 (1998) 229-255.
7. 1 controller synthesis via fixed-order dynamic compensation: A Riccati equation approach, Int. J. Contr. 71 (1998) 35-59.
8. W.S. Levine, M. Athans, On the determination of the optimal output feedback gains for linear multivariable systems, IEEE Trans. Autom. Contr. 15 (1970) 44-48.
9. M. Vidyasagar, Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1993.