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Robust [formula omitted] control for switched systems with input delays: A sojourn-probability-dependent method.
- Source :
-
Information Sciences . Nov2014, Vol. 283, p22-35. 14p. - Publication Year :
- 2014
-
Abstract
- In this paper, a sojourn-probability-dependent method is proposed to investigate the robust H ∞ control for a class of switched systems with input delays. The considered system has the following characteristics: (1) it is a switched system consisting of a set of subsystems; (2) sojourn probabilities (i.e. the probability of switched systems staying in each subsystem) are assumed to be known (or partly known) a prior; and (3) there are input delays and parameter uncertainties in each subsystem. By using the sojourn probability information, a new type of switched system model is built. By using the Lyapunov functional method, the robust mean square stability criteria are obtained for switched systems under two conditions: (A) all sojourn probabilities of the subsystems are known; (B) only partly sojourn probabilities are known. Then the robust H ∞ controller feedback gains are derived by using the cone complement linearization method. An inverted pendulum system and a numerical example are given to demonstrate the effectiveness and applicability of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00200255
- Volume :
- 283
- Database :
- Academic Search Index
- Journal :
- Information Sciences
- Publication Type :
- Periodical
- Accession number :
- 97578038
- Full Text :
- https://doi.org/10.1016/j.ins.2014.05.017