A course of H∞0Econtrol theory
A course of H∞0Econtrol theory
The effects of rapid sampling in system identification
Automatica (Journal of IFAC) - Identification and system parameter estimation
The H∞ control problem
H∞ controller synthesis by J-lossless coprime factorization
SIAM Journal on Control and Optimization
The discrete time H∞ control problem with measurement feedback
SIAM Journal on Control and Optimization
A chart of numerical methods for structured eigenvalue problems
SIAM Journal on Matrix Analysis and Applications
(J, J')-lossless factorization based on conjugation
Systems & Control Letters
The Riccati equation
Robust control and H∞ -optimization: tutorial paper
Automatica (Journal of IFAC)
Linear robust control
Robust and optimal control
Multivariable Feedback Control: Analysis and Design
Multivariable Feedback Control: Analysis and Design
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Parametrizations in Control, Estimation, and Filtering Problems: Accuracy Aspects
Parametrizations in Control, Estimation, and Filtering Problems: Accuracy Aspects
Feedback Control Theory
Digital Control and Estimation: A Unified Approach
Digital Control and Estimation: A Unified Approach
Robust design in delta domain for SISO plants: PI and PID controllers
Systems Analysis Modelling Simulation
On properties of information matrices of delta-operator basedadaptive signal processing algorithms
IEEE Transactions on Signal Processing
Survey Paper: From Youla-Kucera to Identification, Adaptive and Nonlinear Control
Automatica (Journal of IFAC)
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This article addresses a method for discrete-time H∞-control based on J-lossless factorisations of chain scattering representations of a plant. Delta-domain state space formulae for both J-lossless and dual J-lossless factorisations are given. Optimal controllers are obtained via solving two coupled δ-domain algebraic Riccati equations. A relative condition number is utilised as a measure of numerical conditioning of the δ-domain algebraic Riccati equation and it is shown that the proposed method of controller synthesis is much better-conditioned than its counterpart version based on the common forward shift operator. Two numerical examples are given to illustrate the method.