CAJ | 학술논문

运用绝对稳定性理论分析常见的单变量二维模糊控制系统的鲁棒稳定性。结果表明，模糊控制系统的稳定性与控制量二个分量所处的扇形区域有关，且扇形区域越小，鲁棒稳定性越强。
운용절대은정성이론분석상견적단변량이유모호공제계통적로봉은정성。결과표명，모호공제계통적은정성여공제량이개분량소처적선형구역유관，차선형구역월소，로봉은정성월강。
A systematic study on the theory of fuzzy robust control systems has been performed in this paper, and a series of theoretical results are presented as follows: 　　(1) It is proposed that the control output u located in e-ec-u coordinate is divided into two control outputs: u1 located in e-u coordinate and u2 located in ec-u coordinate. Therefore a two-dimensional fuzzy control system can be equivalently represented as a two-input and two-output nonlinear control system. 　　(2) The state space representation of two-dimensional fuzzy control system is given and it is proposed that the stability problem of nonlinear fuzzy control can be equivalently represented by the robust stability problem of linear fuzzy control system. 　　(3) By applying the theory of absolute stability, it is proved that the stability of fuzzy control systems is closely related with sector area in which u1 and u2 are located. The angle of sector area decides that a fuzzy control system is stable or not. 　　(4) Some important results related with the robust stability of fuzzy control systems are presented by applying Riccati inequality and Hamilton matrix of H∞ theory.