H2-optimization with stable controllers
Automatica (Journal of IFAC)
Strong stabilization of MIMO systems via H∞ optimization
Systems & Control Letters
Single-loop feedback-stabilization of linear multivariable dynamical plants
Automatica (Journal of IFAC)
Brief On the strong stabilization and stable H∞-controller design problems for MIMO systems
Automatica (Journal of IFAC)
Optimal robust fault detection for linear discrete time systems
Journal of Control Science and Engineering - Robustness Issues in Fault Diagnosis and Fault Tolerant Control
Robust control of flexible structures with stable bandpass controllers
Automatica (Journal of IFAC)
Brief paper: Strong γk-γclH∞ stabilization with a new slack variable approach
Automatica (Journal of IFAC)
Brief paper: Stable H∞ controller design for systems with multiple input/output time-delays
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
This paper presents an approach for designing stable MIMO H"~ and H"2 controllers by directly computing the norm-constrained stable transfer matrices Q in the H"~ and H"2 suboptimal controller parameterizations. This is done by first converting the H"2 and H"~ strong stabilization problems into some nonlinear unconstrained optimization problems through explicit parameterization of the norm-constrained Q's for any fixed order. Then, a two-stage numerical search is carried out by using a combination of a genetic algorithm and a quasi-Newton algorithm in order to reach an optimal solution. The effectiveness of the proposed algorithms is illustrated through some benchmark numerical examples.