A fast algorithm to compute the \(H_{\infty}\)-norm of a transfer function matrix
From MaRDI portal
Publication:913722
DOI10.1016/0167-6911(90)90049-ZzbMath0699.93021OpenAlexW2054155441MaRDI QIDQ913722
Publication date: 1990
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-6911(90)90049-z
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (59)
On input/output stabilization of singular integrodifferential systems ⋮ A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry ⋮ A simple technique for computing the \(H_ \infty\)-norm of polynomials ⋮ Well-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluids ⋮ Faster and More Accurate Computation of the $\mathcal{H}_\infty$ Norm via Optimization ⋮ Stability and distance to instability for polynomial matrix families. Complex perturbations ⋮ Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials ⋮ On the real stability radius of sparse systems ⋮ Error estimation in reduced basis method for systems with time-varying and nonlinear boundary conditions ⋮ Non-parametric methods for \({\mathcal L}_2\)-gain estimation using iterative experiments ⋮ Large-Scale Estimation of Dominant Poles of a Transfer Function by an Interpolatory Framework ⋮ Computing the distance to continuous-time instability of quadratic matrix polynomials ⋮ A new approach for calculating the real stability radius ⋮ Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation ⋮ SOBMOR: Structured Optimization-Based Model Order Reduction ⋮ Model reduction by moment matching with preservation of global stability for a class of nonlinear models ⋮ Subspace method for the estimation of large-scale structured real stability radius ⋮ Fast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificates ⋮ Reset-free data-driven gain estimation: power iteration using reversed-circulant matrices ⋮ Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations ⋮ Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method ⋮ Tracking amplitude extrema of nonlinear frequency responses using the harmonic balance method ⋮ Modular model reduction of interconnected systems: a robust performance analysis perspective ⋮ On the stability radius for linear time-delay systems ⋮ ℋ∞and ℋ2guaranteed costs computation for uncertain linear systems ⋮ H ∞ norm computation for LTV systems using nonlinear optimal control algorithms ⋮ \(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers ⋮ A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-norm ⋮ Design of robust decentralised controllers for MIMO plants with delays through network structure exploitation ⋮ A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle ⋮ Theories for design and analysis of robust \(H_\infty/H_-\) fault detectors ⋮ Second-order nonsmooth optimization for \(H_{\infty}\) synthesis ⋮ Validated numerical computation of the \(\mathcal L_{\infty}\)-norm for linear dynamical systems ⋮ Numerical computation of inner-outer factors for a class of retarded delay systems ⋮ A fast algorithm for the computation of an upper bound on the \(\mu\)-norm ⋮ Computation of extremum singular values and the strong \(H_\infty\) norm of SISO time-delay systems ⋮ A direct method for computing the \(L^{\infty}\) norm of a transfer matrix ⋮ A Multimodal Nonlinear Tuned Vibration Absorber ⋮ Large-Scale and Global Maximization of the Distance to Instability ⋮ Approximation of stability radii for large-scale dissipative Hamiltonian systems ⋮ Reinforced concrete seismically-excited frame design with a new mixed \(H_2/H_{\infty}\) optimization approach ⋮ A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems ⋮ Controller tuning approach with robustness, stability and dynamic criteria for the original AVR system ⋮ Worst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluids ⋮ Robust Stability of Differential-Algebraic Equations ⋮ Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values ⋮ Stability analysis and model order reduction of coupled systems ⋮ A Newton-based method for the calculation of the distance to instability ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ Nonsmooth optimization for multidisk \(H_\infty\) synthesis ⋮ Fixed-structure robust controller design for chatter mitigation in high-speed milling ⋮ Nonsmooth µ-synthesis ⋮ On properties of univariate max functions at local maximizers ⋮ On the computation of the optimal \(\mathbf H_\infty\) norms for two feedback control problems ⋮ A Subspace Method for Large-Scale Eigenvalue Optimization ⋮ Design of structured controllers for linear time-delay systems ⋮ Alternating implicit and semi-implicit iterations in the periodic QZ algorithm ⋮ ROBUST BIFURCATION ANALYSIS OF SYSTEMS WITH DYNAMIC UNCERTAINTIES ⋮ Computation of the structured stability radius via matrix sign function
Cites Work
- A course in \(H_{\infty}\) control theory
- A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-norm
- A bisection method for computing the \(H_{\infty}\) norm of a transfer matrix and related problems
- \(H_{\infty}\)-control by state feedback: An iterative algorithm and characterization of high-gain occurrence
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- On computing the infinity norm
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
- A generalized inverse Nyquist stability criterion
This page was built for publication: A fast algorithm to compute the \(H_{\infty}\)-norm of a transfer function matrix