# Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints

International Journal of Applied Mathematics and Computer Science (2014)

- Volume: 24, Issue: 4, page 785-794
- ISSN: 1641-876X

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topWudhichai Assawinchaichote. "Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints." International Journal of Applied Mathematics and Computer Science 24.4 (2014): 785-794. <http://eudml.org/doc/271870>.

@article{WudhichaiAssawinchaichote2014,

abstract = {This paper examines the problem of designing a robust $_∞$ fuzzy controller with -stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust $_∞$ fuzzy controller that guarantees (i) the ₂-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.},

author = {Wudhichai Assawinchaichote},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {fuzzy controller; robust $_∞$ control; LMI approach; 𝓓-stability; Takagi-Sugeno fuzzy model; robust control; D-stability},

language = {eng},

number = {4},

pages = {785-794},

title = {Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints},

url = {http://eudml.org/doc/271870},

volume = {24},

year = {2014},

}

TY - JOUR

AU - Wudhichai Assawinchaichote

TI - Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints

JO - International Journal of Applied Mathematics and Computer Science

PY - 2014

VL - 24

IS - 4

SP - 785

EP - 794

AB - This paper examines the problem of designing a robust $_∞$ fuzzy controller with -stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust $_∞$ fuzzy controller that guarantees (i) the ₂-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.

LA - eng

KW - fuzzy controller; robust $_∞$ control; LMI approach; 𝓓-stability; Takagi-Sugeno fuzzy model; robust control; D-stability

UR - http://eudml.org/doc/271870

ER -

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