dkitgui (Mu Analysis and Synthesis Toolbox)

Mu Analysis and Synthesis Toolbox

dkitgui

A graphical user interface for µ synthesis via D-K iteration

Syntax

```
dkitgui
```

Description
dkitgui is a graphical user interface (GUI) for D-K iteration. The D-K iteration procedure is an approximation to µ synthesis control design. It involves a sequence of minimizations, first over the controller variable K (holding the D variable associated with the scaled µ upper bound fixed), and then over the D variable (holding the controller K variable fixed). The D-K iteration procedure is not guaranteed to converge to the minimum µ value, but often works well in practice. A more detailed description of the D-K iteration can be found in Chapter 5.

The GUI tool, dkitgui, has five windows. They are:

Main Iteration window, which is the main interface for the user during the iteration.
Setup window, where initial data is entered.
Parameter window, which is occasionally used to modify properties of the D-K iteration, such as H parameters, and to select the variables that are automatically exported to the workspace each iteration.
Frequency Response window, where the plots of µ and of the closed-loop transfer function matrix are displayed.
Scaling window, where the rational fits of the frequency-dependent D-scale data are shown, and can be modified.

dkitgui completely automates the D-K iteration procedure. A detailed description of dkitgui and its use can be found in Chapter 5.

Examples
An example of using dkitgui for D-K iteration is provided in the "HIMAT Robust Performance Design Example" section in Chapter 7.

Reference
Balas, G.J.and J.C. Doyle, "Robust control of flexible modes in the controller crossover region," AIAA Journal of Guidance, Dynamics and Control, vol. 17, no. 2, pp. 370-377, March-April, 1994.

Balas, G.J., A.K. Packard and J.T. Harduvel, "Application of µ-synthesis techniques to momentum management and attitude control of the space station," AIAA Guidance, Navigation and Control Conference, New Orleans, pp. 1204-1213, August 1991.

Doyle, J.C., Doyle, K. Lenz, and A. Packard, "Design examples using synthesis: Space shuttle lateral axis FCS during reentry," NATO ASI Series, Modelling, Robustness, and Sensitivity Reduction in Control Systems, vol. 34, Springer-Verlag, 1987.

Packard, A., J. Doyle, and G. Balas, "Linear, multivariable robust control with a perspective," ASME Journal of Dynamic Systems, Measurement and Control, 50th Anniversary Issue, vol. 115, no. 2b, pp. 310-319, June 1993.

Stein, G., and J. Doyle, "Beyond singular values and loopshapes," AIAA Journal of Guidance and Control, vol. 14, no. 1, pp. 5-16, January, 1991.

See Also
dkit, hinfsyn, hinfnorm, mu, pkvnorm

dkit drawmag