H∞ memoryless control with an α-stability constraint for time-delays systems an LMI approach
Résumé
This note focuses on the design of H∞ memoryless state feedback controllers satisfying some α-stability constraints on the closed-loop poles for a class of linear systems with delayed state subject to disturbance inputs. A sufficient condition for feasibility is derived in terms of linear matrix inequalities. Furthermore, we also consider a particular optimization problem the maximal bound allowed on time-delay such that the prescribed level on disturbance attenuation and the α-stability constraints are still preserved. This problem is conversed into an LMI optimization problem and we give a suboptimal bound on the delay.
Mots clés
- Linear control systems
- Closed loop control systems
- Constraint theory
- Control equipment
- Control system synthesis
- Feedback
- Frequency domain analysis
- Memoryless control
- Lyapunov methods
- Optimization
- System stability
- Time domain analysis
- Disturbance attenuation
- Linear matrix inequality
- Optimal control systems
- Stability constraint