Optimal control of quantized input systems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2289, Issue , 2002, Pages 351-363

  Pancanti, Stefania ^a   Leonardi, Laura ^a   Pallottino, Lucia ^a   Bicchi, Antonio ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

HYBRID SYSTEMS; OPTIMAL CONTROL SYSTEMS;

BRANCH AND BOUND TECHNIQUES; CLASSICAL APPROACH; INTEGER LINEAR PROGRAMMING; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; OPTIMAL SOLUTIONS; QUANTIZED CONTROL; STATE SPACE DISCRETIZATION;

INTEGER PROGRAMMING;

EID: 84958179609     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45873-5_28     Document Type: Conference Paper

References (19)

1. J. E. Bertram, “The effect of quantization in sampled feedback systems,” Trans. AIEE Appl. Ind., vol. 77, pp. 177–181, Sept. 1958.
2. J. B. Slaughter, “Quantization errors in digital control systems,” IEEE Trans. Autom. Control, vol. 9, pp. 70–74, Sept. 1964.
3. D. F. Delchamps, “Extracting state information from a quantized output record,” Systems and Control Letters, vol. 13, pp. 365–371, 1989.
4. D. F. Delchamps, "Stabilizing a linear system with quantized state feedback," IEEE Trans. Autom. Control, "01. 35, no. 8, pp. 916-926, 1990.
5. R.W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, Millmann Brockett and Sussmann, Eds., pp. 181-191. Birkhauser, Boston, U.S., 1983.
6. N. Elia and S. K. Mitter, "Quantization of linear systems," in Proc. 38th Conf. Decision t3 Control. IEEE, 1999, pp. 3428-3433.
7. S. S. Sastry R. M. Murray, "Nonholonomic motion planning: Steering using sinusoids," IEEE Trans. on Automatic Control, "01. 38, pp. 700-716, 1993.
8. A. Marigo B. Piccoli, and A. Bicchi, "Reachability analysis for a class of quantized control systems," in Proc. IEEE Int. Conf. on Decision and Control, 2000, pp. 3963-3968.
9. A. Bicchi, A. Marigo and B. Piccoli, "On the recahability of quantized control systems," Tech. Rep. 44/2000/M, S.I.S.S.A./I.S.A.S., 2000, (in press on IEEE Trans. Autom. Control).
10. O.J. Sordalen, “Conversion of the kinematics of a car with n trailers into a chained form,” in Proc. IEEE Int. Conf. on Robotics and Automation, 1993, pp. 382–387.
11. O.J. Sordalen and O. Egeland, “Exponential stabilization of nonholonomic chained systems,” IEEE Trans. on Automatic Control, vol. 40, no. 1, pp. 35–49, 1994.
12. R.M. Murray, “Nilpotent bases for a class of non-integrable distributions with applications to trajectory generation for nonholonomic systems,” Math. Control Signals Systems, vol. 7, pp. 58–75, 1994.
13. E. Sontag, “Control of systems without drift via generic loops,” IEEE Trans. on Automatic Control, vol. 40, no. 7, pp. 1210–1219, 1995.
14. C. Samson, “Control of chained systems, application to path following and time varying point stabilization of mobile robots,” IEEE Trans. on Automatic Control, vol. 40, no. 1, pp. 64–67, 1995.
15. I. Kolmanovsky and N.H. McClamroch, “Developments in nonholonomic control problems,” IEEE Control Systems, pp. 20–36, December 1995.
16. S. Sekhavat and J. P. Laumond, “Topological properties for collision free nonholonomic motion planning: the case of sinusoidal inputs for chained form systems,” IEEE Transactions on Robotics and Automation, vol. 14, no. 5, pp. 671–680, October 1998.
17. A. Schrijver, Theory of Linear and Integer Programming, Wiley Interscience Publ., 1986.
18. L. A. Wolsey, Integer Programming, Wiley Interscience Publ., 1998.
19. Eric V. Denardo, Dynamic Programming: Models and Applications, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1982.