Controlling Spatially Invariant Distributed Parameter Systems using Arrays of Actuators and Sensors

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• Prof. Stephen Duncan, University of Oxford
• Wednesday 23 March 2011, 14:00-15:00
• Department of Aeronautics, Roderic Hill Building, Lecture Room 266.

If you have a question about this talk, please contact Eric C Kerrigan.

Distributed parameter systems, where the underlying dynamics are spatially invariant, are common in a range of applications, including the control of fluid flow, the control of heat diffusion and the cross-directional control of web processes. Bamieh et al. (2002) have shown that the controllers for these processes are also spatially invariant, leading to controller structures that are particularly simple to implement. However, these controllers assume that measurements are continuous in space and generate control inputs that are also spatially continuous. In practice, most applications use arrays of discrete but identical actuators and sensors, and this talk describes how results from sampling theory can be used to show that the controller can be implemented using discrete arrays without loss of performance, provided that conditions on the separation between actuators and sensors are satisfied in order to avoid spatial aliasing. It is shown that in most practical systems, it is not possible to avoid spatial aliasing, so it is better to incorporate the effect of aliasing by including the cross-coupling between aliased spatial frequencies in the system model that is used in the controller design. The talk will be illustrated with results from the implementation of a controller for regulating heat flow during metal spraying, the stabilisation of the electron beam in a synchrotron, and the mechanism of drag reduction in fluid flow using riblets.

This talk is part of the Control and Power Seminars series.

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