A Simultaneous Optimal Design of Structural and Control Systems for Cantilevered Pipes Conveying Fluid

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We deal with a simultaneous optimal design of structural and control system of cantilevered pipes conveying fluid. We consider a combined pipe conveying fluid which is consisted of a beam (with variable shape) sandwiched by two pipes conveying fluid. The mathematical model of the combined pipe system is derived as a single pipe conveying fluid whose structural properties are variable. The width distribution of the beam and the location of the sensor and the actuator are structural design parameters. We employ the LQG control law with the input energy constraint as the active control method. The structural design parameters and the LQG controller are simultaneously adjusted so that the critical flow velocity of the controlled system (closed-loop critical flow velocity) is maximized with an iterative numerical optimization technique. The simulation result shows the necessity of the simultaneous optimal design approach in designing the active control system of the cantilevered pipe conveying fluid. The experimental study is also conducted. The experimental result fairly agrees with the simulation result and emphasizes the proposed design methodology.