Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2002, Pages 4140-4145

  Cao, Yong Yan ^a   Lin, Zongli ^a  

^a University of Virginia   (United States)

Author keywords

Actuator saturation; Saturation dependent Lyapunov function; Set invariance

Indexed keywords

ACTUATORS; CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; OPTIMIZATION; SET THEORY; STATE ESTIMATION; STATE FEEDBACK; VECTORS;

ACTUATOR SATURATION; LINEAR MATRIX INEQUALITY; LYAPUNOV FUNCTION; STABILITY ANALYSIS;

SYSTEM STABILITY;

EID: 0036997351     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. D. S. Bernstein and A. N. Michel. A chronological bibliography on saturating actuators. Int. J. Robust and Nonlinear Control, 5(5):375-380, 1995.
2. D.J. Davison and E.M. Kurak. A computational method for determining quadratic lyapunov functions for nonlinear systems. Automatica, 7:627-636, 1971.
3. M.C. de Oliveira, J. Bernussou, and J.C. Geromel. A new discrete-time robust stability condition. Systems Control Lett., 37:261-265, 1999.
4. H. Hindi and S. Boyd. Analysis of linear systems with saturating using convex optimization. Proc. 37th IEEE Conf. Decision Contr., Tampa, FL, 903-908, 1998.
5. T. Hu and Z. Lin. Control Systems with Actuator Saturation: Analysis and Design. Birkhäuser, Boston, 2001.
6. T. Hu, Z. Lin, and B. M. Chen. Analysis and design for discrete-time linear systems subject to actuator saturation. Systems Control Lett., 45:97-112, 2002.
7. Z. Lin. Low Gain Feedback. Springer, London, 1998.
8. C. Pittet, S. Tarbouriech, and C. Burgat. Stability regions for linear systems with saturating controls via circle and Popov criteria. Proc. of 36-th IEEE CDC, 4518-4523, 1997.
9. G. Scorletti, J.P. Folcher, and L. El Ghaoui. Output feedback control with input saturation: LMI design approaches. European J. of Control, 7(6), 2001.
10. S. Srivastava, and F. Jabbari. Scheduled controllers for disturbance attenuation of systems with bounded inputs. Proc. of American Control Conf., 735-739, 2000.
11. J.A. Walker and N.H. McClamroch. Finite regions of attraction for the problem of Lur'e. Int. J. Control, 6(4):331-336, 1967.
12. B. Weissenberger. Application of results from the absolute stability to the computation of finite stability domains. IEEE Trans. Automat. Control, 13:124-125, 1968.