Abstract
The adaptive output feedback control problem of chemical distributed parameter systems is investigated while the process parameters are unknown. Such systems can be usually modeled by semi-linear partial differential equations (PDEs). A combination of Galerkin's method and proper orthogonal decomposition is applied to generate a reduced order model which captures the dominant dynamic behavior of the system and can be used as the basis for Lyapunov-based adaptive controller design. The proposed control method is illustrated on thermal dynamics regulation in a tubular chemical reactor where the temperature spatiotemporal dynamic behavior is modeled in the form of a semi-linear PDE.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 681-686 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 28 |
| Issue number | 8 |
| DOIs | |
| State | Published - Jul 1 2015 |
| Event | 9th IFAC Symposium on Advanced Control of Chemical Processes, ADCHEM 2015 - Whistler, Canada Duration: Jun 7 2015 → Jun 10 2015 |
Bibliographical note
Funding Information:★ Financial support from the National Science Foundation, CMMI Award #
Funding Information:
1★3F0i0n3an2c2iaisl gsuraptpeofurtllyfroacmkntohwe lNedagtieodn.al Science Foundation, CMMI Award # Financial support from the National Science Foundation, CMMI Award # 13-00322 is gratefully acknowledged. 13-00322 is gratefully acknowledged.
Keywords
- Adaptive control
- Distributed parameter systems
- Lyapunov stability
- Model reduction
- Output feedback
- Partial differential equations
- Process control