Realization, Internal Stability, and Controller Synthesis

Abstract

We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there are multiple realizations to adopt. Different synthesis methods/realizations target different plants/scenarios. Except for some case-by-case studies, we don't currently have a unified framework to understand their relationships. To address the issue, we show that existing controller synthesis methods and realization proposals are all special cases of a simple lemma, the realization-stability lemma. The lemma leads to easier equivalence proofs among existing methods and enables the formulation of a general controller synthesis problem, which provides a unified foundation for controller synthesis and realization derivation.

References in corpus (2)

• System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation
• Deployment Architectures for Cyber-Physical Control Systems

Cited by in corpus (4)

• Network Realization Functions for Optimal Distributed Control
• Synthesis to Deployment: Cyber-Physical Control Architectures
• Sample Complexity of the Robust LQG Regulator with Coprime Factors Uncertainty
• A General Approach to Robust Controller Analysis and Synthesis