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**Robust continuous-time and discrete-time flow control of a dam-river system. I: Modelling.**
*(English)*
Zbl 0949.93007

Summary: A distributed parameter linear model is derived from simplified physical equations of one dimensional open channel hydraulics. This linear model relating downstream to upstream flow rates is then identified analytically to a second order transfer function with delay, that can be used for controller synthesis. Analytical formulas for exact sampling with zero and first order holds are also given for the discrete-time case. The modelling error made when considering linear models around different reference discharges in a given set can be evaluated with a bound on multiplicative and on additive uncertainties. These bounds are useful for controller robustness analysis and synthesis.

### MSC:

93A30 | Mathematical modelling of systems (MSC2010) |

93C95 | Application models in control theory |

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\textit{X. Litrico} and \textit{D. Georges}, Appl. Math. Modelling 23, No. 11, 809--827 (1999; Zbl 0949.93007)

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### References:

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