Robust stabilization of infinite dimensional systems by finite dimensional controllers
From MaRDI portal
Publication:1081572
DOI10.1016/0167-6911(86)90100-3zbMath0601.93044OpenAlexW1988999371MaRDI QIDQ1081572
Publication date: 1986
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-6911(86)90100-3
Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Approximation by rational functions (41A20) Control problems for functional-differential equations (34K35) Control/observation systems in abstract spaces (93C25)
Related Items
\(L^ \infty\) approximation of a parabolic system regarded as a delay system, The admissible disturbance for discrete nonlinear perturbed controlled systems, Hankel operators and best Hankel approximation on the half-plane, Analytic system problems and \(J\)-lossless coprime factorization for infinite-dimensional linear systems, Robust control of flexible structures: A case study, Robust compensator design via structured stability radii, Equivalence of input-output stability and exponential stability, Robust stabilizability of normalized coprime factors: the infinite-dimensional case, Finite-dimensional output stabilization for a class of linear distributed parameter systems -- a small-gain approach, Interior and H∞ feedback stabilization for sabra shell model of turbulence, Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions, Flatness-based tracking control of a piezoactuated Euler–Bernoulli beam with non-collocated output feedback: theory and experiments†, Equivalence of input-output stability and exponential stability for infinite-dimensional systems, Realization theoretic solution of two analytic matrix equations with application to stabilization of infinite-dimensional systems, Internal and external stability and robust stability condition for a class of infinite-dimensional systems, On the computation of induced norms for non-compact Hankel operators arising from distributed control problems, \(H_{\infty }\) and bibo stabilization of delay systems of neutral type, An algorithmic test for checking stability of feedback spectral systems, Algebraic properties of systems of nuclear type, Finite dimensional controller design for infinite dimensional systems: The circle criterion approach, Robust output feedback control of quasi-linear parabolic PDE systems, Single-step full-state feedback control design for nonlinear hyperbolic PDEs, Finite modeling of parabolic equations using Galerkin methods and inverse matrix approximations, Robust control of parabolic PDE systems with time-dependent spatial domains, Galerkin approximation in modeling of controlled distributed-parameter flexible systems, Rational approximation of a class of infinite-dimensional systems. I: Singular values of Hankel operators
Cites Work
- Unnamed Item
- Unnamed Item
- A Direct Approach to Compensator Design for Distributed Parameter Systems
- Stabilization of time-delay systems using finite-dimensional compensators
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- H<sup>∞</sup>-optimal feedback controllers for linear multivariable systems
- Robust stabilizability for a class of transfer functions
- Controller design for distributed systems based on Hankel-norm approximations
- Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
- An algebra of transfer functions for distributed linear time-invariant systems
- Simplifications and clarifications on the paper 'An algebra of transfer functions for distributed linear time-invariant systems'
- Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
- Necessary and sufficient condition for robust stability of linear distributed feedback systems†
- ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
