Abstract
The present paper addresses a boundary stabilization problem for a cascaded heat–heat system with different reaction coefficients. A sufficient and necessary condition about two reaction coefficients of the cascaded heat–heat model is found to guarantee the controllability of the coupled system. Based on modal decomposition method, a feedback control is proposed to stabilize the coupled system. Sufficient conditions for exponential stability and well-posedness of the closed-loop systems are derived via the Lyapunov method. The performance is validated by the numerical simulation, which illustrates the efficiency of the proposed control scheme.
| Original language | English |
|---|---|
| Article number | 105684 |
| Journal | Systems and Control Letters |
| Volume | 183 |
| DOIs | |
| Publication status | Published - Jan 2024 |
Keywords
- Boundary control
- Cascaded heat–heat system
- Distributed parameter system
- Exponential stability
- Modal decomposition approach