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Full Description
Recently, there have been significant developments in robust control of time-delay systems. This volume presents a systematic treatment of robust control for such systems in the frequency domain. The emphasis is on systems with a single input or output delay, although the delay-free part of the plant can be multi-input-multi-output, in which case the delays in different channels should be the same.
The author covers the whole range of H-infinity control of time-delay systems: from controller parameterization implementation; from the Nehari problem to the four-block problem; from theoretical developments to practical issues. The major tools used are similarity transformation, the chain-scattering approach and J-spectral factorization.
Self-contained, "Robust Control of Time-delay Systems" will interest control theorists and mathematicians working with time-delay systems. Its methodical approach will be of value to graduates studying general robust control theory or its applications in time-delay systems.
Contents
Controller design.- Classical Control of Time-delay Systems.- Preliminaries.- J-spectral Factorisation of Regular Para-Hermitian Transfer Matrices.- The Delay-type Nehari Problem.- An Extended Nehari Problem.- The Standard H? Problem.- A Transformed Standard H? Problem.- 2DOF Controller Parameterisation.- Unified Smith Predictor.- Controller Implementation.- Discrete-delay Implementation of Distributed Delay in Control Laws.- Rational Implementation Inspired by the ?-operator.- Rational Implementation Based on the Bilinear Transformation.
