Passivity-based Adaptive Control of Aeroelastic System with Unsteady Aerodynamics and Wind Gust
Mathematics in Engineering, Science and Aerospace
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This paper presents two simple output feedback adaptive control laws for the control of a two-dimensional nonlinear aeroelastic system, including unsteady aerodynamics, parameter uncertainties, and wind gust. The objective is to stabilize the plunge-pitch oscillatory motion by the use of a single trailing-edge control surface. Based on the G-passivity theory for nonsquare systems, two adaptive control systems (C1 and C2) are designed. The control law C1 uses the plunge displacement, pitch angle, and their first derivatives for feedback, and the control law C2 is synthesized using only two outputs (pitch angle and pitch rate). For attenuating the effect of gust load and nonlinearities, a switching control signal is designed. In addition, sigma modification is introduced to prevent parameter divergence. By the Lyapunov analysis, the convergence of the trajectories in a region surrounding the origin is established. Simulation results show that in the closed-loop system, each adaptive law suppresses the oscillatory responses, despite uncertainties in parameters and gust load. It is seen that the control law C1 gives little smaller settling time, but requires larger flap deflection compared with the control law C2.
Aeroelastic system; Flutter control; Gust load; Limit cycle suppression; Passivity-based adaptive control; Unsteady aerodynamics
Aerodynamics and Fluid Mechanics | Aeronautical Vehicles
Singh, S. N.
Passivity-based Adaptive Control of Aeroelastic System with Unsteady Aerodynamics and Wind Gust.
Mathematics in Engineering, Science and Aerospace, 12(4),