Linear quadratic regulation for linear time-varying systems with multiple input delays part II: Continuous-time case

Proceedings of the 5th International Conference on Control and Automation, ICCA'05

Volumn , Issue , 2005, Pages 954-959

  Zhang, Huanshui ^a   Duan, Guangren ^b   Xie, Lihua ^c  

^a Shenzhen University Town   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Continuous time systems; Fixed lag smoothing; LQR; Multiple input delays; Riccati differential equation

Indexed keywords

DIFFERENCE EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; LINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; RICCATI EQUATIONS;

CONTINUOUS TIME-SYSTEMS; FIXED LAG SMOOTHING; LQR; MULTIPLE INPUT DELAYS; RICCATI DIFFERENCE EQUATION;

LINEAR SYSTEMS;

EID: 27844586596     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. M. Basin, J Rodriguez-Gonzalez, "Optimal control for linear systems with time delay in control input based on the duality principle," Proc. American Control Confi, Denver, pp. 2144-2148, 2003.
2. M.C. Delfour, "Linear optimal control of systems with state control variable delays," Automatica, vol. 20, no. 1, pp. 69-77, 1984.
3. Y.A. Fiagbedzi and A.E. Pearson, "Feedback stabilization of linear autonomous time lag systems," IEEE Trans. Automat. Contr., Vol. 31, pp. 847-855, 1986.
4. ∞ Theories, SIAM Studies in Applied Mathematics series, 1998.
5. G.L. Kharatashvili, "A maximum principle in external problems with delays," in Mathematical Theory of Control, A.V. Balakrishnan and L.W. Neustadt (Eds.), Academic Press, NY, 1967.
6. A. Kojima and K. Uchida, E. Shimemura and S. Ishijima, "Robust stabilization of a system with delays in control," IEEE Trans. Automat. Contr., Vol. 39, No. 8, pp. 1694-1698, 1994.
7. ∞ control for preview and delayed startegies," Proc. the 40th IEEE Conf. on Decision and Control, Orlando, pp. 991-996, 2001.
8. J. M. Mendel, Lessons in estimation theory for signal processing, communications, and control, Prentice-Hall, In., 1995.
9. M.N. Oguztoreli, Time-Lag Control Systems, Academic Press, NY, 1966.
10. ∞ problem in systems with a single input delay," IEEE Trans. on Automatic Control, vol.45, no. 3, pp. 382-396, 2000.
11. H. Zhang, G. Duan and L. Xie, "Linear quadratic regulation for linear time-varying systems with multiple input delays Part I: discrete-time case", Submitted to ICCA'05