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首页> 外文期刊>IFAC PapersOnLine >Local Stabilization of Nonlinear Discrete-Time Systems Subject to Amplitude Bounded Disturbances * * This work has been supported by CAPES and CNPq, Brazil
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Local Stabilization of Nonlinear Discrete-Time Systems Subject to Amplitude Bounded Disturbances * * This work has been supported by CAPES and CNPq, Brazil

机译：受幅度有界扰动的非线性离散系统的局部稳定 * * CAPES和巴西CNPq支持这项工作

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摘要

The stabilization problem of nonlinear discrete-time systems subject to amplitude bounded disturbances by means of Takagi-Sugeno (T-S) fuzzy models is considered in this paper. The linear matrix inequality (LMI) approach is applied to design a state feedback fuzzy controller such that the system trajectories are ultimately bounded, that is, the state trajectory starting in a set of admissible initial conditions is guaranteed to converge in finite time to a nearby region of the state space origin. Numerical examples are considered to illustrate the approach demonstrating the effectiveness of the proposed technique for the control synthesis of nonlinear discrete-time systems.
机译：本文考虑了基于Takagi-Sugeno（T-S）模糊模型的非线性离散时间系统的稳定问题。应用线性矩阵不等式（LMI）方法设计状态反馈模糊控制器，从而最终限制系统轨迹，即，保证在一组允许的初始条件下开始的状态轨迹在有限时间内收敛到附近状态空间原点的区域。数值实例被认为是说明该方法证明了所提出的技术对非线性离散时间系统的控制合成的有效性的方法。

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