Control of Higher–Dimensional PDEs: Flatness and Backstepping Designs
About this ebook
The text is divided into five parts featuring:
- a literature survey of paradigms and control design methods for PDE systems
- the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures
- the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains
- an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters
- the development of design techniques to realize exponentially stabilizing tracking control
- the evaluation in simulations and experiments
Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.
