By Thomas Meurer
This monograph provides new model-based layout tools for trajectory making plans, suggestions stabilization, kingdom estimation, and monitoring keep an eye on of distributed-parameter structures ruled via partial differential equations (PDEs). Flatness and backstepping options and their generalization to PDEs with higher-dimensional spatial area lie on the middle of this treatise. This contains the improvement of systematic past due lumping layout strategies and the deduction of semi-numerical methods utilizing appropriate approximation tools. Theoretical advancements are mixed with either simulation examples and experimental effects to bridge the distance among mathematical idea and keep an eye on engineering perform within the swiftly evolving PDE regulate area.
The textual content is split into 5 elements featuring:
- a literature survey of paradigms and keep an eye on layout tools for PDE systems
- the first precept mathematical modeling of functions bobbing up in warmth and mass move, interconnected multi-agent platforms, and piezo-actuated clever elastic structures
- the generalization of flatness-based trajectory making plans and feedforward keep an eye on to parabolic and biharmonic PDE structures outlined on common higher-dimensional domains
- an extension of the backstepping method of the suggestions keep watch over and observer layout for parabolic PDEs with parallelepiped area and spatially and time various parameters
- the improvement of layout ideas to achieve exponentially stabilizing monitoring control
- the evaluate in simulations and experiments
Control of Higher-Dimensional PDEs ― Flatness and Backstepping Designs is a complicated examine monograph for graduate scholars in utilized arithmetic, keep watch over conception, and similar fields. The booklet may possibly function a connection with contemporary advancements for researchers and keep watch over engineers attracted to the research and keep watch over of structures ruled via PDEs.
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