Abstract
Minimum-variance benchmarking only considers the most fundamental performance limitation of a control loop owing to the existence of time delays. In practice, however, there are many other limitations on the achievable control performance, such as constraints on controller order, structure, and action. Many researchers have introduced modified/extended versions of the Harris index to include design specifications of the user (such as the rise time and settling time) and take into account time delays in the system, leading to more realistic performance indices, referred to as user-specified benchmarks. This chapter provides a general setting for user-specified performance assessment and then presents the IMC-achievable performance assessment, the extended-horizon approach, performance assessment based on desired pole location, historical benchmarking, and assessment methods based on reference models.
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- 1.
The inversion of RHP zeros and time delays leads to unstability and non-causality, respectively.
- 2.
In the linear case, this means that the transfer-function denominator order is equal or greater than nominator order.
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Jelali, M. (2013). User-Specified Benchmarking. In: Control Performance Management in Industrial Automation. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-4546-2_3
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