Fault-Tolerant Control of Switched Distributed Parameter Systems

This book provides the first systematic treatment of fault-tolerant control for switched distributed parameter systems—a class of systems in which switching simultaneously alters generator domains, boundary conditions, and state spaces, creating challenges with no finite-dimensional counterpart.

Beginning with structural analysis, the book characterizes controllability via an operator-valued Gramian and establishes a quantitative fault-recoverability criterion. It then constructs optimal switching-law compensators for discrete faults and boundary controllers for switched parabolic and hyperbolic PDEs against continuous faults. The theory is extended to multi-agent coordination through spatial continualization, with applications to formation deployment and cluster-level path planning on Riemannian manifolds. Illustrative examples from traffic networks, chemical reactors, and autonomous swarms ground the developments throughout.

Readers gain an operator-theoretic toolkit readily transferable to their own switched PDE or networked multi-agent problems. The book is intended for graduate students and researchers in control theory, applied mathematics, and distributed parameter systems, as well as engineers in safety-critical processes and autonomous platforms.