State feedback control of piecewise-affine systems with norm bounded noise

Proceedings of the American Control Conference

Volumn 3, Issue , 2005, Pages 1793-1798

  Rodrigues, Luis ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; LYAPUNOV METHODS; ROBUSTNESS (CONTROL SYSTEMS); SPURIOUS SIGNAL NOISE; STATE FEEDBACK;

EQUILIBRIUM POINT; NOISY MEASUREMENTS; PIECEWISE-AFFINE SYSTEMS; QUADRATIC LYAPUNOV FUNCTION;

FEEDBACK CONTROL;

EID: 23944506135     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. V. D. Blondel and J. N. Tsitsiklis, "Complexity of stability and controllability of elementary hybrid systems," Automatica, vol. 35, pp. 479-489, March 1999.
2. A. Hassibi and S. P. Boyd, "Quadratic stabilization and control of piecewise-linear systems," in Proceedings of the American Control Conference, pp. 3659-3664, June 1998.
3. M. Johansson and A. Rantzer, "Piecewise linear quadratic optimal control," IEEE Transactions on Automatic Control, vol. 45, no. 4, pp. 629-637, 2000.
4. L. Rodrigues and J. How, "Observer-based control of piecewise-affine systems," International Journal of Control, vol. 76, pp. 459-477, March 2003.
5. L. Rodrigues and S. P. Boyd, "Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization", to appear in Systems and Control Letters.
6. L. Rodrigues and J. How, "Automated control design for a piecewise-affine approximation of a class of nonlinear systems," in Proceedings of the American Control Conference, pp. 3189-3194, June 2001.
7. M. Johansson and A. Rantzer, "Computation of piecewise quadratic lyapunov functions for hybrid systems," IEEE Transactions on Automatic Control, vol. 43, pp. 555-559, April 1998.
8. S. Pettersson, Analysis and Design of Hybrid Systems. PhD thesis, Chalmers University of Technology, 1999.
9. M. Johansson, Piecewise Linear Control Systems. PhD thesis, Lund Institute of Technology, 1999.
10. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, vol. 15 of Studies in Applied Mathematics. SIAM, June 1994.
11. K. C. Goh, J. H. Ly, L. Turand, and M. G. Safonov, "Biaffine matrix inequality properties and computational methods," Proceedings of the American Control Conference, pp. 850-855, 1994.