schur's complement
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Fuzzy Observer-Based H 2 / H ∞ Output-Feedback Control for Stochastic Nonlinear Systems with Multiplicative Noise

Mathematical Problems in Engineering ◽

10.1155/2021/7282940 ◽

2021 ◽

Vol 2021 ◽

pp. 1-11

Author(s):

Wenxuan Yang ◽

Ting Hou

Keyword(s):

Feedback Control ◽

Nonlinear Systems ◽

Output Feedback ◽

Multiplicative Noise ◽

Design Method ◽

Fuzzy Model ◽

Output Feedback Control ◽

Stochastic Nonlinear Systems ◽

Convex Optimization Problem ◽

Schur's Complement

A design method is established for the mixed H 2 / H ∞ output-feedback control of stochastic nonlinear systems with multiplicative noise. Firstly, using T-S fuzzy rules, we obtain a fuzzy model to approximate the original nonlinear system. Then, by Schur’s complement, the suboptimal H 2 / H ∞ output-feedback control design is transformed into a two-step convex optimization problem. A numerical example is given to show the effectiveness of the proposed method.

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