Performance limitations of non-minimum phase systems in the servomechanism problem
Automatica (Journal of IFAC)
Robust and optimal control
Fundamental Limitations in Filtering Control
Fundamental Limitations in Filtering Control
Fundamental limit of discrete-time systems in tracking multi-tone sinusoidal signals
Automatica (Journal of IFAC)
Brief Every stabilizing dead-time controller has an observer-predictor-based structure
Automatica (Journal of IFAC)
H2-optimal control of systems with multiple i/o delays: Time domain approach
Automatica (Journal of IFAC)
H2 optimization for systems with adobe input delays: A loop shifting approach
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
This paper aims to clarify the performance limit via state-space representation, in order to handle multiple-input-multiple-output systems in a transparent way. To this end, by applying some results on infinite-dimensional control theory, a closed formula for the H^2 performance limit is derived for systems with a special structure described in terms of a rational transfer matrix and a scalar inner function. This formulation is capable of dealing with various control problems, including H^2 control of a class of infinite-dimensional systems. The resulting formula, given as a functional of the inner function, helps us to understand how achievable H^2 performance deteriorates due to non-minimum phase properties or unstable modes of plants.