Continuous to discrete model conversion for the system with a singular system matrix based on matrix sign function

DOI10.1016/j.apm.2011.02.009zbMath1221.93175OpenAlexW2087598296MaRDI QIDQ639160

Shu-Mei Guo, Jason Sheng-Hong Tsai, Chih-Cheng Huang, Leang San Shieh

Publication date: 18 September 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.02.009

zbMATH Keywords

discrete-time modelmodel conversionmatrix sign function

Mathematics Subject Classification ID

Sampled-data control/observation systems (93C57) Applications of difference equations (39A60)

Related Items (5)

A novel on-line Observer/Kalman filter identification method and its application to input-constrained active fault-tolerant tracker design for unknown stochastic systems ⋮ Realization of causal current output-based optimal full/reducedorder observer and tracker for the linear sampled-data system with a direct transmission term ⋮ Modeling and tracker for unknown nonlinear stochastic delay systems with positive input constraints ⋮ A new optimal linear quadratic observer-based tracker under input constraint for the unknown system with a direct feed-through term ⋮ From Fault-Diagnosis and Performance Recovery of a Controlled System to Chaotic Secure Communication

Uses Software

• mftoolbox

Cites Work

• Fast and stable algorithms for computing the principal \(n\)th root of a complex matrix and the matrix sector function
• Discrete-continuous model conversion
• New results in state estimation and regulation
• Theory and applications of selftuning regulators
• Using discrete models with continuous design packages
• The matrix sign function and computations in systems
• A modified matrix sign function method for projected Lyapunov equations
• Fast suboptimal state-space self-tuner for linear stochastic multivariable systems
• Discretization of cascaded continuous-time controllers for state and input delayed systems
• Matrix sector functions and their applications to systems theory
• A geometric series approach to modelling discrete-time state equations from continuous-time state equations
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• Accelerated convergence of the matrix sign function method of solving Lyapunov, Riccati and other matrix equations
• A New Solution Method for the Lyapunov Matrix Equation
• The numerical solution of<tex>Ẋ = A_{1}X + XA_{2} + D, X(0) = C</tex>
• Solution of state-space equations via block-pulse functions
• The matrix sign function
• Functions of Matrices
• The observer‐based linear quadratic sub‐optimal digital tracker for analog systems with input and state delays

This page was built for publication: Continuous to discrete model conversion for the system with a singular system matrix based on matrix sign function