slowfast :: Functions (Robust Control Toolbox™)

Contents

Index

• Getting Started

• Uncertain Elements

• Uncertain Matrices and Systems

• Manipulation of Uncertain Models

• Interconnection of Uncertain Models

• Model Order Reduction

• Robustness and Worst-Case Analysis

• Robustness Analysis for Parameter-Dependent Systems (P-Systems)

• Controller Synthesis

• µ-Synthesis

• Sampled-Data Systems

• Gain Scheduling

• Frequency-Response Data (FRD) Models

• Supporting Utilities

• LMIs

• Modification of Systems of LMIs

• Release Notes

slowfast

Purpose

Slow and fast modes decomposition

Syntax

```
[G1,G2] = slowfast(G,ns) 
```

Description

slowfast computes the slow and fast modes decompositions of a system G(s) such that

G(s) contains the N slowest modes (modes with the smallest absolute value) of G.

denotes the slow part of G(s). The slow poles have low frequency and magnitude values.

denotes the fast part. The fast poles have high frequency and magnitude values.

The variable ns denotes the index where the modes will be split.

References

[1] M.G. Safonov, E.A. Jonckheere, M. Verma and D.J.N. Limebeer, "Synthesis of Positive Real Multivariable Feedback Systems", Int. J. Control, vol. 45, no. 3, pp. 817-842, 1987.

See Also

schur Schur decomposition

modreal Modal form realization

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skewdec squeeze

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