Circle and popov criteria as tools for nonlinear feedback design

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 85-90

  Arcak, Murat ^a   Larsen, Michael ^b   Kokotović, Petar ^c  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b VISTEON CORPORATION   (United States)

^c University of California   (United States)

Author keywords

Absolute stability; Nonlinear stabilization; Popov multiplier

Indexed keywords

AUTOMATION; MATHEMATICAL TRANSFORMATIONS; STABILITY CRITERIA; STABILIZATION;

ABSOLUTE STABILITY; ABSOLUTE STABILITY CRITERIA; CIRCLE CRITERION; NON-LINEAR DESIGN; NONLINEAR STABILIZATION; NUMERICAL TOOLS; POPOV MULTIPLIER; RELATIVE DEGREES;

NONLINEAR FEEDBACK;

EID: 84945534279     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00264     Document Type: Conference Paper

References (10)

1. Arcak, M. and P.V. Kokotović (2001). Feasibility conditions for circle criterion designs. Systems and Control Letters 42(5), 405-412.
2. Bernussou, J., J.C. Geromel and M.C. de Oliveira (1999). On strict positive real systems design: guaranteed cost and robustness issues. Systems and Control Letters 36, 135-141.
3. Boyd, S., L. El Ghaoui, E. Feron and V. Balakrishnan (1994). Linear Matrix Inequalities in System and Control Theory. Vol. 15 of SIAM Studies in Applied Mathematics. SIAM. Philadelphia, PA.
4. Janković, M., M. Larsen and P.V. Kokotović (1999). Master-slave passivity design for stabilization of nonlinear systems. In: Proceedings of the 18th American Control Conference. San Diego, CA. pp. 769-773.
5. Kokotović, P.V. and M. Arcak (2001). Constructive nonlinear control: a historical perspective. Automatica 37(5), 637-662.
6. Krstić, M., I. Kanellakopoulos and P. Kokotović (1995). Nonlinear and Adaptive Control Design. John Wiley & Sons, Inc. New York.
7. Popov, V.M. (1960). Criterion of quality for non-linear controlled systems. In: Preprints of the First IFAC World Congress. Butterworths. Moscow. pp. 173-176.
8. Safonov, M.G., K.C. Goh and J.H. Ly (1994). Control system synthesis via bilinear matrix inequalities. In: Proceedings of the 1994 American Control Conference. Baltimore, MD. pp. 45-49.
9. Tsiotras, P. and E. Velenis (2000). Low-bias control of AMB's subject to saturation constraints. In: Proceedings of the 2000 IEEE International Conference on Control Applications. Anchorage, Alaska.
10. Zames, G. and P.L. Falb (1968). Stability conditions for systems with monotone and slope-restricted nonlinearities. SIAM Journal of Control and Optimization 6, 89-108.