Stable polyhedra in parameter space

DOI10.1016/S0005-1098(03)00034-7zbMath1022.93016OpenAlexW2002535445MaRDI QIDQ1400334

Dieter Kaesbauer, Jürgen Ackermann

Publication date: 13 August 2003

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(03)00034-7

zbMATH Keywords

robust stabilitystability regionsimultaneous stabilizationPID controllercomputer-aided control system design

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Adaptive or robust stabilization (93D21) Robust stability (93D09)

Related Items

Stability regions in the parameter space: \(D\)-decomposition revisited ⋮ Robust pole assignment via reflection coefficients of polynomials ⋮ Design of Fixed Structure Pid Controller for Nonlinear System with Saturation ⋮ Characterization of the stabilizing PID controller region for the model-free time-delay system ⋮ On polytopes in Hurwitz region ⋮ Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems ⋮ A geometric description of the set of stabilizing PID controllers ⋮ Construction and stratification of the stability domains of the linear dynamic systems with PID controllers ⋮ Multidimensional stability domain of special polynomial families ⋮ Stability analysis of time delayed system with coefficient uncertainty and time delay uncertainty ⋮ H _∞ PID controller design for Lur’e systems and its application to a ball and wheel apparatus ⋮ Note on the root locus method ⋮ Geometry of the multidimensional stability domain in the space of even (odd) coefficients of the characteristic polynomial of linear systems ⋮ Infinite polytopes in Hurwitz stability region ⋮ \(D\)-decomposition technique state-of-the-art

Cites Work

• Robust control. Systems with uncertain physical parameters. In co-operation with A. Bartlett, D. Kaesbauer, W. Sienel, R. Steinhauser
• Structure and synthesis of PID controllers.