Observer-based Controller Design for Mach Number in Wind Tunnels
This paper investigates the design of robust observer-based controllers for system subjected to input saturation and time varying state delay. The proposed method is used to determine observer and controller gains for stabilizing the above system. A new design methodology is proposed which leads to a quite simple LMI condition that is numerically tractable with any LMI software. The proposed LMI condition is solved without any additional restrictive conditions, namely the a priori choice of the Lyapunov matrix. An optimization algorithm is also proposed to maximize the domain of attraction for delayed systems with input saturation. An application to control of Mach number in a wind tunnel model is provided to emphasize the interest of the given results, particularly in comparison with existing results on observer-based control.
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