Design of Stabilizers and Observers for a Class of Multivariable T–S Fuzzy Models on the Basis of New Interpolation Functions
Design of Stabilizers and Observers for a Class of Multivariable T–S Fuzzy Models on the Basis of New Interpolation Functions
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DOI：
10.1109/tfuzz.2017.2786244
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发表时间：
2018-10
影响因子：
11.9
通讯作者：
J. Meda-Campaña;A. Grande-Meza;José de Jesús Rubio;R. Tapia-Herrera;T. Hernández-Cortés;A. V. Curtidor-López;L. A. Páramo-Carranza;I. Cázares-Ramírez
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文献类型：
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作者：
J. Meda-Campaña;A. Grande-Meza;José de Jesús Rubio;R. Tapia-Herrera;T. Hernández-Cortés;A. V. Curtidor-López;L. A. Páramo-Carranza;I. Cázares-Ramírez
给出了一类多输入多输出(T-S)模糊模型的镇定器和观测器的设计方法，该方法基于局部增益和寻找一组能够适当组合上述局部增益的插值函数。正如预期的那样，这种插值函数的存在取决于整个多变量T-S模糊模型的能控性和能观性。为此，还提出了多输入多输出T-S模糊系统的实用能控性和能观性检验。为了验证该方法的有效性，进行了数值模拟。并与一种基于线性矩阵不等式的并行分布式补偿方法进行了比较。
An approach to design stabilizers and observers for a class of multiple-input multiple-output (MIMO) Takagi–Sugeno (T–S) fuzzy models is developed on the basis of local gains and the searching for a set of interpolation functions capable of properly combining the aforementioned local gains. As expected, the existence of such interpolation functions depends on the controllability and observability properties of the overall multivariable T–S fuzzy model. For that reason, practical controllability and observability tests are also proposed for MIMO T–S fuzzy systems. Some numerical simulations are used in order to validate the efficacy of the method. Besides, the results are compared with an approach based on linear matrix inequalities, namely parallel distributed compensation.