Nonlinear controllers for nonlinear systems with input nonlinearities

Journal of the Franklin Institute

Volumn 336, Issue 4, 1999, Pages 649-664

  Haddad, Wassim M ^a   Fausz, Jerry L ^a   Chellaboina, Vijaya Sekhar ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL NONLINEARITIES; CONTROL SYSTEM ANALYSIS; LYAPUNOV METHODS; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

HAMILTON-JACOBI-BELLMAN EQUATION;

NONLINEAR CONTROL SYSTEMS;

EID: 0033131943     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(98)00003-9     Document Type: Article

References (23)

1. E. Ryan, Optimal Relay and Saturating Control System Synthesis, Peregrinus, Stevenage, U.K., 1982.
2. I. Horowitz, A synthesis theory for a class of saturating systems, Int. J. Contr., 1983, 38, 169-187.
3. A. Glattfelder, W. Schaufelberger, Stability analysis of single loop control systems with saturation and antireset-windup circuits, IEEE Trans. Autom. Contr., 1983, AC-28, 1074-1081.
4. R. Kosut, Design of linear systems with saturating linear control and bounded states, IEEE Trans. Autom. Contr., 1983, AC-28, 121-124.
5. R. Hanus, M. Kinnaert, J. Henrotte, Conditioning technique, a general anti-windup and bumpless transfer method, Automatica, 1987, 23, 729-739.
6. S.S. Keerthi, E.G. Gilbert, Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints, IEEE Trans. Autom. Contr., 1987, 32, 432-435.
7. P. Campo, M. Morari, C. Nett, Multivariable anti-windup and bumpless transfer: A general theory, in: Proc. American Control Conf., 1989, pp. 1706-1711.
8. E. Sontag, H. Sussman, Nonlinear output feedback design for linear systems with saturating controls, in: Proc. IEEE Conf. Dec. Contr., Honolulu, HI, 1990, pp. 3414-3416.
9. A. Teel, Global stabilization and restricted tracking for multiple integrator with bounded controls, Sys. Contr. Lett., 1992, 18, 165-171.
10. Z. Lin, A. Saberi, Semi-global exponential stabilization of linear systems subject to "input saturation" via linear feedbacks, Sys. Contr. Lett., 1993, 21, 225-239.
11. A. Teel, Semi-global stabilizability of linear null controllable systems with input non-linearities, in: Proc. American Control Conf., Baltimore, MD, 1994, pp. 947-951.
12. D.S. Bernstein, W.M. Haddad, Nonlinear controllers for positive real systems with arbitrary input nonlinearities, IEEE Trans. Autom. Contr., 1994, AC-39, 1513-1517.
13. F. Tyan, D.S. Bernstein, Anti-windup compensator synthesis for systems with saturating actuators, Int. J. Robust and Nonlinear Control, 1995, 5, 521-537.
14. W.M. Haddad, V. Kapila, Fixed-architecture controller synthesis for systems with input-output time-varying nonlinearities, Int. J. Robust and Nonlinear Control, 1997, 7, 675-710.
15. W.M. Haddad, V. Chellaboina, J.L. Fausz, Robust nonlinear feedback control with nonquadratic performance criteria, in: Proc. IEEE Conf. Dec. Contr., New Orleans, LA, 1995, pp. 1982-1987
16. (also in Sys. Contr. Lett., 1998, 33, 327-338).
17. W.M. Haddad, V. Chellaboina, Robust nonlinear-nonquadratic feedback control via parameter- dependent Lyapunov functions, Int. J. Contr., 1997, 66, 843-861.
18. P.J. Moylan, B.D.O. Anderson, Nonlinear regulator theory and an inverse optimal control problem, IEEE Trans. Autom. Contr., 1973, 18, 460-465.
19. R. Freeman, P. Kokotović, Inverse optimality in robust stabilization, SIAM J. Contr. Optimiz., 1996, 34, 1365-1391.
20. C.J. Wan, D.S. Bernstein, Nonlinear feedback control with global stabilization, Dyn. and Contr., 1995, 5, 321-346.
21. W.M. Haddad, J.L. Fausz, V. Chellaboina, C.T. Abdallah, A unification between nonlinear-nonquadratic optimal control and integrator backstepping, Int. J. Robust and Nonlinear Control, to appear.
22. F.K. Moore, E.M. Greitzer, A theory of post-stall transients in axial compression systems - Part I: Development of equations, J. Turbomachinery, 1986, 108, 68-76.
23. M. Krstić, P.V. Kokotović, Lean backstepping design for a jet engine compressor model, in: Proc. IEEE Conf. Control Applications, Albany, NY, 1995, pp. 3049-3055.