Feedback passivation of an electrostatic microactuator: A semidefinite programming approach

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 37, Issue 13, 2004, Pages 907-912

  Raff, Tobias ^a   Ebenbauer, Christian ^a   Allgower, Frank ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Feedback passivation; Polynomial control systems; Sum of squares

Indexed keywords

ELECTROSTATIC ACTUATORS; ELECTROSTATICS; NONLINEAR CONTROL SYSTEMS; PASSIVATION; POLYNOMIALS; STATE FEEDBACK;

CONTROLLER DESIGNS; ELECTROSTATIC MICROACTUATORS; FEEDBACK PASSIVATION; NUMERICAL CONTROLLER; POLYNOMIAL CONTROL SYSTEMS; SEMI-DEFINITE PROGRAMMING; SUM OF SQUARES; SUM OF SQUARES DECOMPOSITIONS;

CONTROLLERS;

EID: 85064518334     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/S1474-6670(17)31341-1     Document Type: Conference Paper

References (19)

1. Boyd, S. and L. Vandenberghe (2004). Convex Optimization. Cambridge University Press.
2. Byrnes, C. L. A. Isidori and J. C. Willerns (1991). Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. IEEE Transactions on Control Systems Technology 36, 1228-1240.
3. Choi, M. D., T. Y. Lam and B. Reznick (1995). Sums of squares of real polynomials. In: Proceedings of Symposia in Pure Mathematics 58, pp, 103-120.
4. Fbenbmier, C T. Raff and P. Allgower (2004). Passivity-based controller design for polynomial control systems via semidefinite programming. Submitted to Automatisierungstechnik.
5. El-Samad, R., S. Prajna, A. Papachristodoulou, M. Khammash and J. C. Doyle (2003). Model validation and robust stability analysis of the bacterial heat shock response using sostools. In: Proceedings of 42nd IEEE Conference on Decision and Control, USA. pp. 3766-3771.
6. Jarvis-Wloszek, Z., R. Fecley, W. Tan, K. Sun and A. Packard (2003). Some control applications of sum of squares programming. In: Proccedings of 42nd IEEE Confeivnce on Decision and Control, USA. pp. 4670-4681.
7. Khalil, U. K. (1990). Nonlinear Systems. Prentice Hall.
8. Kokotovic, P. and M. Arcak (2001). Constructive nonlinear control: a historical perspective. Automatica 37, 637-662.
9. Kristic, M., I, Kanellakopoulos and P. Kokotovic (1995), Nonlinear and Adaptive Controller Design. Wiley-Interscience.
10. Maithripala, D. H. S., J. M. Berg and W. P. Dayawansa (2003). Nonlinear dynamic output feedback stabilization of electrostatically actuated mems. Proceedings of 42nd IEEE Conference on Decision and Control, USA pp. 61-60.
11. Nesterov, Y. and A. Nemirovsky (1994). Interior Point Polynomial Methods in Convex Programming. SIAM.
12. Parrilo, P. A. (2000). Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis. California Institute of Technology.
13. Prajna, S., A. Papachristodoulou and P. A. Parrilo (2002). SOSTOOLS: Sum of squares optimization toolbox for MATLAB. Available from http://www.cds.caltech.edu/sostools.
14. Prajna, S., P. A. Parrilo and A. Rantzer (2004). Nonlinear control synthesis by convex optimization. IEEE Transactions on Automatic Control 49, 310-314.
15. Raff, T. (2003). Feedback passivation of polynomial control systems via semidefinite programming. M. Sc. Thesis. University of Stuttgart.
16. Reznick, B. (1995), Uniform denominators in Uilbert's seventeenth problem. Mathematischc Zeitschrift 220, 75-97.
17. Sepulchre, R., M. Jankovic and P. Kokotovic (1997), Constructive Nonlinear Control. Springer Verlag.
18. Tibken, B, (2000). listimation of the domain of attraction for polynomial systems via LMl's. In: Proceedings of 39th IEEE Conference on Decision and Control, Australia, pp. 3860-3864.
19. Willems, J. C. (1972). Dissipative dynamical systems. part i: General theory. Archive for Rational Mechanics and Analysis 45, 321-351.