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)|
|Number of pages||6|
|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 noteFunding Information:
★ Financial support from the National Science Foundation, CMMI Award #
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.
- Adaptive control
- Distributed parameter systems
- Lyapunov stability
- Model reduction
- Output feedback
- Partial differential equations
- Process control