Frequency response of sampled-data systems

DOI10.1016/0005-1098(95)00162-XzbMath0861.93021OpenAlexW2160887035MaRDI QIDQ1915025

Yoshimichi Ito, Mituhiko Araki, Tomomichi Hagiwara

Publication date: 19 May 1997

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(95)00162-x

zbMATH Keywords

closed-loop systemrobust stabilitysampled-data control systemsfrequency domain theoryintersample behaviour

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Frequency-response methods in control theory (93C80) Sampled-data control/observation systems (93C57)

Related Items (23)

Stochastic stability and robust control for sampled-data systems with Markovian jump parameters ⋮ \(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators ⋮ Positive-realness analysis of sampled-data systems and its applications ⋮ Constrained robust sampled-data control for nonlinear uncertain systems ⋮ Absolute stability of sampled-data systems with a sector nonlinearity ⋮ Implementing the Hamiltonian test for the \(H_{\infty}\) norm in linear continuous-time periodic systems ⋮ Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations ⋮ Modified fast-sample/fast-hold approximation for sampled-data system analysis ⋮ Further results on the L₁ analysis of sampled-data systems via kernel approximation approach ⋮ Phase of linear time-periodic systems ⋮ Pointwise frequency responses framework for stability analysis in periodically time-varying systems ⋮ Statistical analysis of stable FDLCP systems by parametric transfer matrices ⋮ On a key sampling formula relating the Laplace and \({\mathcal Z}\) transforms ⋮ Modified fast-sample/fast-hold approximation and γ-independent H _∞-discretisation for general sampled-data systems by fast-lifting ⋮ Upper and lower bounds of the frequency response gain of sampled-data systems ⋮ Design framework for high-performance optimal sampled-data control with application to a wafer stage ⋮ Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems ⋮ Using the Fredholm resolvent for computing the ℋ₂-norm of linear periodic systems ⋮ Sampled-data output regulation of unstable well-posed infinite-dimensional systems with constant reference and disturbance signals ⋮ Spectral properties and their applications of frequency response operators in linear continuous-time periodic systems ⋮ Linear periodically time-varying scaling and its properties ⋮ Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation ⋮ Damping of harmonic disturbances in sampled-data systems -- parameterization of all optimal controllers

Cites Work

• Unnamed Item
• Computation of the frequency response gains and \(H_{\infty}\)-norm of a sampled-data system
• \({\mathcal H}_ 2\) optimal control for sampled-data systems
• Sampled-data control of continuous-time systems with an \(H_ \infty\) optimality criterion
• Frequency responses for sampled-data systems -their equivalence and relationsships
• Frequency domain sensitivity functions for continuous time systems under sampled data control
• On the \(\geq rmL_ 2\)-induced norm of a sampled-data system
• H/sub infinity / control and filtering for sampled-data systems
• Worst-case analysis and design of sampled-data control systems
• Control of linear systems using generalized sampled-data hold functions
• H/sub 2/-optimal sampled-data control
• A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
• H_∞optimal sampled-data control in continuous time systems
• On the design of linear time invariant systems by periodic output feedback Part I. Discrete-time pole assignment†
• A function space approach to sampled data control systems and tracking problems
• H/sub ∞/ type problem for sampled-data control systems-a solution via minimum energy characterization
• Pole assignment by multirate sampled-data output feedback
• FR-operator approach to the H/sub 2/ analysis and synthesis of sampled-data systems
• Input-output stability of sampled-data systems

This page was built for publication: Frequency response of sampled-data systems