Backstepping Control of Coupled Parabolic Systems with Varying Parameters
Materialtyp:
ArtikelSerie: Utgivningsinformation: Erlangen FAU University Press 2021Beskrivning: 1 electronic resource (239 p.)Innehållstyp: - text
- computer
- online resource
- 9783961473908
- 9783961473915
- Technology, Engineering, Agriculture, Industrial processes
- Electronics and communications engineering
- Electronics engineering
- Automatic control engineering
- Differentialgleichung
- Distributed parameter systems
- Regelung
- Zeitvariantes System
- boundary control
- coupled PDEs
- parabolic systems
- time varying systems
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Many technical processes are described by coupled parabolic partial differential equations. Time dependent characteristics, time-varying spatial domains or the linearization of a system around a desired trajectory result in systems with space and time dependent coefficients. The backstepping control design method is developed for this system class on one-dimensional spatial domains and actuation at one or both boundaries of the domain. State feedback controller, observer and the resulting output feedback controller are determined by a constructive design method allowing to achieve uniform exponential stability with an assignable stability margin. The theoretic results are substantiated by numerous simulations.
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eng
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