| Summary: | 碩士 === 國立臺灣科技大學 === 高分子工程系 === 93 === High productivity and efficiency of padder roller systems are being considered for industrial applications. When a padder roller system is operated, transverse vibration problem is a critical issue. This thesis is concerned with some topics in the modeling and control of a padder roller system. First, the theory of dynamics is applied for the development of the kinetic and potential energy of the padder roller system. Then, the corresponding governing partial differential equations of motion are derived from Hamilton’s principle. Afterwards, the governing equations of motion are expanded by separation of variables method and the general pole-zero patterns of the open loop transfer functions are obtained and verified for the choices of actuator and sensor locations. The characteristics of the padder roller system in terms of its open loop transfer function’s poles and zeros are presented. The result shows that the pole-zero patterns will interlace along the imaginary axis and the minimum phase property will be formed when the actuator and sensor lie at the same locations. This characteristic can be employed for controller designs.
It is well known that, in general, vibration at any point of a linear, distributed system can be represented as the superposition of an infinite number of vibration modes. The successful suppression of all these modes will eliminate vibration in the system. Based on extension of the classical root locus method for an infinite dimensional padder roller system, vibration can be eliminated and good tracking property can be achieved by moving all the poles of the closed loop system further into the left half plane through properly incorporating a suitable compensator. In order to achieve these goals, the proportional-derivative-integral (PID) controller, which is utilized widely in industry, will be designed. By applied control force at the middle that is based on sensor output at the same location, good stability and tracking property can be shown from the computer simulation. There is no control and observation spillover concern and stability of its associated closed-loop system is guarantee. At the same time, this realizable actuator, sensor, and controller make the padder roller control system a tight junction between two rollers for improving the dyeing quality during the operation.
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