An LMI solution to the robust synthesis problem for multi-rate sampled-data systems
type: Item
instance of: scholarly article
title: An LMI solution to the robust synthesis problem for multi-rate sampled-data systems
zbMATH Open document ID: 1031.93121
DOI: 10.1016/S0005-1098(01)00167-4
author: Sanjay Lall
author: Geir E. Dullerud
published in: Automatica
publication date: 2004-02-25T00:00:00Z
review text: The paper deals with a solution to the multi-rate sampled-data \(H_\infty\) synthesis problem without unnecessary constraints on the original system data. Using the method developed by the authors [IEEE Trans. Autom. Control 44, 1486-1497 (1999; Zbl 1136.93321)], the multi-rate sampled-data problem is converted into an equivalent discrete-time, time-varying synthesis problem. One of the main advantages of this approach is that the solution is developed via a convex optimization problem expressed in the form of linear operator inequalities. For synthesis problems with rational sampling rates, the solutions are expressed in terms of finite-dimensional linear matrix inequalities, for which standard numerical solvers are available.
reviewed by: Svitlana P. Rogovchenko
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1672672
zbMATH Keywords: sampled-data systems
zbMATH Keywords: multi-rate control
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: \(H_\infty\) control
zbMATH Keywords: synthesis
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
cites work: A new optimal multirate control of linear periodic and time-invariant systems
cites work: Problems of identification and control
cites work: Q4012895
cites work: A lifting technique for linear periodic systems with applications to sampled-data control
cites work: A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
cites work: Optimum \(H^ \infty\) designs under sampled state measurements
cites work: \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.
cites work: Multirate digital control system design
cites work: Application of the min-max certainty equivalence principle to the sampled data output feedback \(H^{\infty}\) control problem
cites work: H/sub 2/-optimal sampled-data control
cites work: Optimal sampled-data control systems
cites work: \(H_ \infty\)-optimal sampled-data control: Computation and design
cites work: \(\mathfrak H_ \infty\) design of general multirate sampled-data control systems
cites work: Multirate LQG control of continuous-time stochastic systems
cites work: Asynchronous hybrid systems with jumps -- analysis and synthesis methods.
cites work: A new approach for analysis and synthesis of time-varying systems
cites work: Control of uncertain sampled-data systems
cites work: Computing the \(L_{2}\)-induced norm of a compression operator
cites work: \({\mathcal H}^\infty\) sensitivity minimization for delay systems
cites work: On the $H^\infty $-Optimal Sensitivity Problem for Systems with Delays
cites work: A linear matrix inequality approach to H∞ control
cites work: A Characterization of All Solutions to the Four Block General Distance Problem
cites work: Anticausal stabilizing solution to discrete reverse-time Riccati equation
cites work: Worst-case analysis and design of sampled-data control systems
cites work: Q3998992
cites work: An Entropy Formula for Time-Varying Discrete-Time Control Systems
cites work: A unified approach to the theory of sampling systems
cites work: Periodic solutions of Riccati equations applied to multirate sampling
cites work: A parametrization of stabilizing controllers for multirate sampled-data systems
cites work: Q4324980
cites work: Controller parametrization for time-varying multirate plants
cites work: $H^\infty $ Control of Linear Time-Varying Systems: A State-Space Approach
cites work: \(H_{\infty}\) and LQG control of asynchronous sampled-data systems
cites work: \(H_\infty\) control of multirate sampled-data systems: A state-space approach
cites work: State-space solution to the periodic multirate \(H_\infty\) control problem: a lifting approach
cites work: H/sub infinity / control and filtering for sampled-data systems
cites work: H∞optimal sampled-data control in continuous time systems
cites work: Sampled-data control of continuous-time systems with an \(H_ \infty\) optimality criterion
cites work: Q4859006
cites work: The sampled-data H problem: A unified framework for discretizationbased methods and Riccati equation solution
cites work: Optimal \({\mathcal H}^ \infty\) and \({\mathcal H}^ 2\) control of hybrid multirate systems
cites work: Robust control of discrete time uncertain dynamical systems
cites work: On the weighted sensitivity minimization problem for delay systems
description: scientific article; zbMATH DE number 1672672