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content/zettels/norms.md
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@@ -4,19 +4,18 @@ author = ["Thomas Dehaeze"]
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### Backlinks {#backlinks}
- [Multivariable Control]({{< relref "multivariable_control" >}})
Tags
:
Resources:
- <sup id="ad6f62e369b7a8d31c21671886adec1f"><a href="#skogestad07_multiv_feedb_contr" title="Skogestad \&amp; Postlethwaite, Multivariable Feedback Control: Analysis and Design, John Wiley (2007).">(Skogestad \& Postlethwaite, 2007)</a></sup>
- <sup id="90e96a2c8cdb40b7bdf895cf013c0946"><a href="#toivonen02_robus_contr_method" title="@misc{toivonen02_robus_contr_method,
author = {Hannu T. Toivonen},
institution = {Abo Akademi University},
title = {Robust Control Methods},
year = 2002,
}">(Hannu Toivonen, 2002)</a></sup>
- <sup id="8db224194542fbd4c7f4fbe56fdd4e73"><a href="#zhang11_quant_proces_contr_theor" title="Zhang, Quantitative Process Control Theory, CRC Press (2011).">(Zhang, 2011)</a></sup>
- ([Skogestad and Postlethwaite 2007](#org533c8de))
- ([Toivonen 2002](#orgb393f10))
- ([Zhang 2011](#org1ea8e81))
## \\(\mathcal{H}\_\infty\\) Norm {#mathcal-h-infty--norm}
@@ -32,33 +31,20 @@ RMS value
The \\(\mathcal{H}\_2\\) is very useful when combined to [Dynamic Error Budgeting]({{< relref "dynamic_error_budgeting" >}}).
As explained in <sup id="651e626e040250ee71a0847aec41b60c"><a href="#monkhorst04_dynam_error_budget" title="@phdthesis{monkhorst04_dynam_error_budget,
author = {Wouter Monkhorst},
school = {Delft University},
title = {Dynamic Error Budgeting, a design approach},
year = 2004,
}">@phdthesis{monkhorst04_dynam_error_budget,
author = {Wouter Monkhorst},
school = {Delft University},
title = {Dynamic Error Budgeting, a design approach},
year = 2004,
}</a></sup>, the \\(\mathcal{H}\_2\\) norm has a stochastic interpretation:
As explained in ([Monkhorst 2004](#org5e40c21)), the \\(\mathcal{H}\_2\\) norm has a stochastic interpretation:
> The squared \\(\mathcal{H}\_2\\) norm can be interpreted as the output variance of a system with zero mean white noise input.
## Link between signal and system norms {#link-between-signal-and-system-norms}
# Bibliography
<a id="skogestad07_multiv_feedb_contr"></a>Skogestad, S., & Postlethwaite, I., *Multivariable feedback control: analysis and design* (2007), : John Wiley. [↩](#ad6f62e369b7a8d31c21671886adec1f)
<a id="toivonen02_robus_contr_method"></a>Toivonen, H. T. (2002). *Robust Control Methods*. Retrieved from [](). . [↩](#90e96a2c8cdb40b7bdf895cf013c0946)
## Bibliography {#bibliography}
<a id="zhang11_quant_proces_contr_theor"></a>Zhang, W., *Quantitative Process Control Theory* (2011), : CRC Press. [↩](#8db224194542fbd4c7f4fbe56fdd4e73)
<a id="org5e40c21"></a>Monkhorst, Wouter. 2004. “Dynamic Error Budgeting, a Design Approach.” Delft University.
<a id="monkhorst04_dynam_error_budget"></a>Monkhorst, W., *Dynamic error budgeting, a design approach* (Doctoral dissertation) (2004). Delft University, . [↩](#651e626e040250ee71a0847aec41b60c)
<a id="org533c8de"></a>Skogestad, Sigurd, and Ian Postlethwaite. 2007. _Multivariable Feedback Control: Analysis and Design_. John Wiley.
<a id="orgb393f10"></a>Toivonen, Hannu T. 2002. “Robust Control Methods.” Abo Akademi University.
## Backlinks {#backlinks}
- [Multivariable Control]({{< relref "multivariable_control" >}})
<a id="org1ea8e81"></a>Zhang, Weidong. 2011. _Quantitative Process Control Theory_. CRC Press.