| Full text | |
| Author(s): |
Hu, Bin
;
Lacerda, Marcio J.
;
Seiler, Peter
Total Authors: 3
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 27, n. 11, p. 1940-1962, JUL 25 2017. |
| Web of Science Citations: | 4 |
| Abstract | |
This paper presents a connection between dissipation inequalities and integral quadratic constraints (IQCs) for robustness analysis of uncertain discrete-time systems. Traditional IQC results derived from homotopy methods emphasize an operator-theoretic input-output viewpoint. In contrast, the dissipativity-based IQC approach explicitly incorporates the internal states of the uncertain system, thus providing a more direct procedure to analyze uniform stability with non-zero initial states. The standard dissipation inequality requires a non-negative definite storage function and `hard' IQCs. The term `hard' means that the IQCs must hold over all finite time horizons. This paper presents a modified dissipation inequality that requires neither non-negative definite storage functions nor hard IQCs. This approach leads to linear matrix inequality conditions that can provide less conservative results in terms of robustness analysis. The proof relies on a key J-spectral factorization lemma for IQC multipliers. A simple numerical example is provided to demonstrate the utility of the modified dissipation inequality. Copyright (C) 2016 John Wiley \& Sons, Ltd. (AU) | |
| FAPESP's process: | 15/00269-5 - Filter design for LPV systems using IQC |
| Grantee: | Márcio Júnior Lacerda |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |