H∞ -optimization without assumptions on finite or infinite zeros
SIAM Journal on Control and Optimization
The discrete time H∞ control problem with measurement feedback
SIAM Journal on Control and Optimization
Gain scheduling via linear fractional transformations
Systems & Control Letters
Automatica (Journal of IFAC)
A primal-dual potential reduction method for problems involving matrix inequalities
Mathematical Programming: Series A and B
Self-scheduled H∞ control of linear parameter-varying systems: a design example
Automatica (Journal of IFAC)
Reduced order linear anti-windup augmentation for stable linear systems
International Journal of Systems Science - Special issue: Anti-windup
LQ optimal control for a class of pulse width modulated systems
Automatica (Journal of IFAC)
Non-descriptor dynamic output feedback ESPR controller design for continuous-time descriptor systems
International Journal of Systems Science
Hybrid approaches for regional Takagi-Sugeno static output feedback fuzzy controller design
Expert Systems with Applications: An International Journal
Numerical Methods for Robust Control
Large-Scale Scientific Computing
Brief paper: Output feedback design for saturated linear plants using deadzone loops
Automatica (Journal of IFAC)
A parameter-dependent Lyapunov approach for the control of nonstationary and hybrid LPV systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Brief paper: Finite-time control of discrete-time linear systems: Analysis and design conditions
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Robust output-feedback controller design via local BMI optimization
Automatica (Journal of IFAC)
| Hi-index | 22.16 |
The set of H"~ controllers with closed-loop performance @c can be implicitly parametrized by the solutions (R, S) of a system of linear matrix inequalities (LMI). The matrices R and S play a role analogous to that of the Riccati solutions X"~ and Y"~ in classical Riccati-based H"~ control. Useful applications include LMI-based H"~ synthesis, mixed H"2H"~ design, and H"~ design with a pole-placement constraint. This paper is concerned with the reliable computation of H"~ controllers given a solution (R, S) of the characteristic system of LMIs. Explicit formulas are derived for both the regular and singular cases. Remarkably, these formulas are extensions of the usual 'central controller' formulas where the LMI solutions R and S replace the Riccati solutions X"~ and Y"~. Simple and numerically appealing new formulas for discrete-time H"~ controllers are also derived.