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A novel nonlinear feedback control design methodology for incompressible fluid flows aiming at the optimisation of long-time averages of key flow quantities is presented. The key idea, first outlined in Ref. [1], is that the difficulties of treating and optimising long-time averages are relaxed by shifting the analysis to upper/lower bounds for minimisation/maximisation problems, respectively. In...
In this paper, boundary control laws are developed to stabilize the transverse vibration for a nonlinear vertically moving string system. The control system is considered with varying length, varying speed, and the constrained boundary output. Based on the integral-barrier Lyapunov function, the exponential stability is proved with the proposed control without consideration of the disturbance. When...
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