IQC analysis and synthesis via nonsmooth optimization
From MaRDI portal
Publication:864474
DOI10.1016/j.sysconle.2006.06.008zbMath1120.93315OpenAlexW2114889142MaRDI QIDQ864474
Pierre Apkarian, Dominikus Noll
Publication date: 9 February 2007
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.06.008
nonsmooth optimizationrobustness analysisrobust controlparametric uncertaintyNP-hard problemsIQC theorystructured controllers
Sensitivity (robustness) (93B35) Feedback control (93B52) Synthesis problems (93B50) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15)
Related Items (12)
Multiple robust H ∞ controller design using the nonsmooth optimization method ⋮ Robust stability and performance analysis based on integral quadratic constraints ⋮ Cutting plane oracles to minimize non-smooth non-convex functions ⋮ Mixed ‐synthesis for ‐stability ⋮ Robust multiple frequency design on voltage-mode control of DC-DC boost converters ⋮ Sufficient dilated LMI conditions for \(H_\infty\) static output feedback robust stabilization of linear continuous-time systems ⋮ Second-order nonsmooth optimization for \(H_{\infty}\) synthesis ⋮ Control design in the time and frequency domain using nonsmooth techniques ⋮ Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values ⋮ Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints ⋮ Nonsmooth µ-synthesis ⋮ Nonsmooth bundle trust-region algorithm with applications to robust stability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonsmooth optimization for multiband frequency domain control design
- 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
- Optimization. Algorithms and consistent approximations
- Specialized fast algorithms for IQC feasibility and optimization problems.
- Second-order nonsmooth optimization for \(H_{\infty}\) synthesis
- Nonsmooth optimization for multidisk \(H_\infty\) synthesis
- Spectral bundle methods for non-convex maximum eigenvalue functions: first-order methods
- Controller Design via Nonsmooth Multidirectional Search
- On Minimizing the Maximum Eigenvalue of a Symmetric Matrix
- System analysis via integral quadratic constraints
- A Spectral Bundle Method for Semidefinite Programming
- Full convergence of the steepest descent method with inexact line searches
- Nonsmooth H∞Synthesis
- A second-order bundle method to minimize the maximum eigenvalue function.
This page was built for publication: IQC analysis and synthesis via nonsmooth optimization