The file *Demo_006.m* is found in IQClabâ€™s folder *demos*. This demo performs an IQC robustness analysis for an uncertain plant that is affected by sector-bounded and slope-restricted scalar nonlinearities. Here it is possible to the following input:

The uncertainty block:

- 3 different sector-bounded scalar nonlinearities
- 3x repeated sector-bounded scalar nonlinearity
- 3 different sector-bounded and slope-restricted scalar nonlinearities
- 3x repeated sector-bounded and slope-restricted scalar nonlinearity

The uncertain system is given by with the open-loop LTI plant , where

, , , .

On the other hand, the uncertainty block is defined by:

- with ,
- with
- with ,
- with

If running scenarios 1. and 2., we obtain the results shown in the following two figures. As can be seen, considering three independent blocks leads to lower bounds on the worst-case -gains if compared to one block that is repeated trice. In addition, the third and fourth figure demonstrate the advantage of considering both a sector and a slope constraint (instead of just a sector constraint) in the analysis by the favour of the Zames-Falb multiplier.