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
Closed loop control systems
Constraint theory
Control equipment
Control system synthesis
Feedback
Frequency domain analysis
Linear control systems
Lyapunov methods
Optimization
System stability
Time domain analysis
Disturbance attenuation
Linear matrix inequality
Memoryless control
Stability constraint
Optimal control systems