Funnel control with saturation: Nonlinear SISO systems

IEEE Transactions on Automatic Control

Volumn 55, Issue 9, 2010, Pages 2177-2182

  Hopfe, Norman ^a   Ilchmann, Achim ^a   Ryan, Eugene P ^b  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

^b University of Bath   (United Kingdom)

Author keywords

Input saturation; Nonlinear systems; Output feedback; Tracking; Transient behavior

Indexed keywords

ASYMPTOTIC BEHAVIOUR; BOUNDEDNESS; CHOICE OF PARAMETERS; CONTROL STRUCTURE; ERROR FEEDBACK; FEASIBILITY CONDITION; FUNCTIONAL DIFFERENTIAL EQUATIONS; GAIN FUNCTION; INPUT SATURATION; NONMONOTONE; OUTPUT FEEDBACK; PARAMETERIZED; PLANT DATA; REFERENCE SIGNALS; SINGLE INPUT , SINGLE OUTPUTS; SISO SYSTEMS; SYSTEM OUTPUT; TIME VARYING; TRACKING; TRACKING ERRORS; TRANSIENT BEHAVIOR;

ASYMPTOTIC ANALYSIS; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; SIGNAL PROCESSING;

NONLINEAR FEEDBACK;

EID: 77956553585     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2051735     Document Type: Article

References (8)

1. N. Hopfe, A. Ilchmann, and E. P. Ryan, "Funnel control with saturation: Linear MIMO systems," IEEE Trans. Autom. Control, vol. 55, no. 2, pp. 532-538, Feb. 2010.
2. A. Ilchmann, H. Logeman, and E. P. Ryan, "Tracking with prescribed transient performance for hysteretic systems," SIAM J. Control Optim, to be published.
3. A. Ilchmann and E. P. Ryan, "High-gain control without identification: A survey," GAMM Mitt., vol. 31, no. 1, pp. 115-125, 2008.
4. A. Ilchmann, E. P. Ryan, and C. J. Sangwin, "Tracking with prescribed transient behaviour," ESAIM: Control, Optimis. Calculus Variat., vol. 7, pp. 471-493, 2002.
5. A. Ilchmann and H. Schuster, "PI-funnel control for two mass systems," IEEE Trans. Autom. Control, vol. 54, no. 4, pp. 918-923, Apr. 2009.
6. A. Isidori, Nonlinear Control Systems, 3rd ed. Berlin, Germany: Springer-Verlag, 1995.
7. C. Sparrow, The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. New York: Springer-Verlag, 1982.
8. W. Walter, Ordinary Differential Equations. New York: Springer- Verlag, 1998.