Stabilization of time-delay nonlinear discrete-time systems with saturating actuators through T-S models
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
Author(s)
Detail(s)
Original language | English |
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Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |
Publisher | IFAC Secretariat |
Pages | 11000-11005 |
Volume | 19 |
ISBN (print) | 9783902823625 |
Publication status | Published - 2014 |
Publication series
Name | |
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Volume | 19 |
ISSN (Print) | 1474-6670 |
Conference
Title | 19th IFAC World Congress of the International Federation of Automatic Control (IFAC 2014) |
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Location | Cape Town International Convention Centre |
Place | South Africa |
City | Cape Town |
Period | 24 - 29 August 2014 |
Link(s)
Abstract
In this paper the problem of local stabilization of nonlinear discrete-time systems with time-varying delay and saturating actuators is studied. Firstly, through a fuzzy Lyapunov-Krasovskii (L-K) function, we develop convex conditions to synthesize fuzzy state feedback gain controllers that stabilize the nonlinear system subject to saturating actuators. Next, we introduce a new approach to compute an estimate of the region of attraction where the initial condition sequence is split into two subsequences. The first one is composed of the state vector at the actual instant of sampling, i.e. for k = 0. The second one is composed of the state vectors at the delayed samplings. Then, we propose a convex optimization problem to maximize the estimated region of attraction of the closed loop control system. Finally, we give a numerical example to illustrate the obtained results.
Research Area(s)
- Delayed states, Discrete-time nonlinear systems, LMIs, Lyapunov-Krasovskii fuzzy function, Saturating input, Takagi-Sugeno models
Citation Format(s)
Stabilization of time-delay nonlinear discrete-time systems with saturating actuators through T-S models. / Silva, Luís F.P.; Leite, Valter J.S.; Castelan, Eugênio B. et al.
IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 19 IFAC Secretariat, 2014. p. 11000-11005.
IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 19 IFAC Secretariat, 2014. p. 11000-11005.
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review