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Digital Controller Implementation and Fragility: A Modern Perspective

Digital Controller Implementation and Fragility: A Modern Perspective

Paperback

Series: Advances in Industrial Control

Technology & EngineeringGeneral ComputersGeneral Gardening

ISBN10: 144711082X
ISBN13: 9781447110828
Publisher: Springer Nature
Published: Sep 3 2012
Pages: 277
Weight: 0.93
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
In the usual process of control system design, the assumption is made that the controller is implemented exactly. This assumption is usually reasonable, since clearly, the plant uncertainty is the most significant source of uncertainty in the control system, while controllers are implemented with high-precision hardware. However, inevitably, there will be some amount of uncertainty in the controller, a fact that is largely ignored in existing modern advanced robust control techniques. If the controller is implemented by analogue means, there are some tolerances in the analogue components. More commonly, the controller will be implemented digitally, and consequently there will be uncertainty involved with the quantization in the analogue-digital conversion and rounding in the parameter representation and in the numerical computations. A failure to account for these uncertainties in the controller may result in a controller that is fragile. A controller is fragile in the sense that very small perturbations in the coefficients of the designed controller destabilize the closed-loop control system.

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