| Full text | |
| Author(s): |
Chagas, Thiago P.
;
Bliman, Pierre-Alexandre
;
Kienitz, Karl H.
;
IEEE
Total Authors: 4
|
| Document type: | Journal article |
| Source: | 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC); v. N/A, p. 6-pg., 2012-01-01. |
| Abstract | |
This work presents a new method of stabilization for unstable periodic orbits of continuous-time dynamical systems. The principle of this method is to use feedback term based on the difference between the actual state value and the future state value computed along the trajectories of the uncontrolled system. To compute the value of the latter, an implicit Runge-Kutta ODE integration method is used, giving rise to a time-varying dynamical controller. The stability of the control method is defined in terms of the Floquet theory and the conditions for calculation of the monodromy matrix are presented. Numerical results are obtained using the forced Van der Pol oscillator as case study and the orthogonal collocation method as implicit Runge-Kutta method. (AU) | |
| FAPESP's process: | 11/17610-0 - Monitoring and control of dynamic systems subject to faults |
| Grantee: | Roberto Kawakami Harrop Galvão |
| Support Opportunities: | Research Projects - Thematic Grants |