Research output: Contribution to journal › Conference article › peer-review
A new control problem is posed and solved: regulation problem for the one-dimensional Klein-Gordon and semilinear wave equations with Neumann boundary conditions in the case when the control acts at both ends of the space interval (“two-point control”). A control algorithm based on the speed-gradient method is proposed. The global exponential stability of the closed loop system for the case of the Klein-Gordon equation is established by means of a new Lyapunov functional. This results is extended to the case of the semilinear wave equation by means of linearization. The two-point energy control problem for the sine-Gordon and semilinear wave equations is analyzed by simulation. It is demonstrated that the proposed two-point control algorithm may provide 30% faster transients.
| Original language | English |
|---|---|
| Pages (from-to) | 54-59 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 52 |
| Issue number | 16 |
| DOIs | |
| State | Published - Sep 2019 |
| Event | 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Austria Duration: 4 Sep 2019 → 6 Sep 2019 |
ID: 75995338