Model description:
Consider a nonlinear system
$$\begin{align*} x_{1}(t+1) &=x_{1}(t)-x_{1}(t)x_{2}(t)+(5+x_{1}(t))u(t) \\ x_{2}(t+1) &=-x_{1}(t)-0.5x_{2}(t)+2x_{1}(t)u(t) \end{align*}$$
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Publication details:
| Title | Stabilization of discrete-time nonlinear control systems - Multiple fuzzy Lyapunov function approach |
| Publication Type | Conference Paper |
| Year of Publication | 2009 |
| Authors | Kau, Shih-Wei, Huang Xin-Yuan, Shiu Sheng-Yu, and Fang Chun-Hsiung |
| Conference Name | International Conference on Information and Automation, 2009. ICIA '09. |
| Date Published | 06/2009 |
| Publisher | IEEE |
| Conference Location | Zhuhai, Macau |
| ISBN Number | 978-1-4244-3607-1 |
| Accession Number | 10837484 |
| Keywords | discrete time systems, fuzzy control, linear matrix inequalities, Lyapunov methods, nonlinear control systems, stability |
| Abstract | This paper deals with the stabilization problem for discrete-time nonlinear systems that are represented by the Takagi - Sugeno fuzzy model. By the multiple fuzzy Lyapunov function and the three-index algebraic combination technique, a new stabilization condition is developed. The condition is expressed in the form of linear matrix inequalities (LMIs) and proved to be less conservative than existing results in the literature. Finally, a truck-trailer system is given to illustrate the novelty of the proposed approach. |
| DOI | 10.1109/ICINFA.2009.5204890 |