Canonical Forms in the Control of DPS (Distributed Parameter Systems)

摘要

Control canonical forms play an important role in the analysis of finite-dimensional problems in control theory. The goal of this research was to extend these results and develop control canonical forms for infinite-dimensional systems. These results were derived for a broad class of problems, including some with unbounded input (as occurs with boundary control problems). This analysis led to approximate feedback control methods (i.e., using finite-dimensional controls) by truncating the resulting series which solves the eigenvalue specification problem. Results were published in a series of five papers, including Canonical forms for a class of distributed parameter control systems, Spectral assignability for disturbed parameter systems with unbounded scalar control, and Spectral determination for a cantilevel beam.