Stability analysis and systematic design of fuzzy controllers with simplified linear control rules

Jun Liao, M. Er
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引用次数: 2

Abstract

In this paper, stability analysis and systematic design procedures of fuzzy logic control systems based on the simplified Takagi-Sugeno (TS) fuzzy model are proposed. First, we represent the simplified TS model in the form of local state-space equations. Second, we show that the general TS fuzzy systems with simplified nonlinear rules are universal approximators. A systematic design procedure for fuzzy controllers is proposed through the parallel distributed compensation (PDC) scheme. Finally, necessary and sufficient conditions that guarantee stability of the fuzzy system are obtained.
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简化线性控制规则的模糊控制器稳定性分析与系统设计
本文提出了基于简化Takagi-Sugeno (TS)模糊模型的模糊控制系统的稳定性分析和系统设计步骤。首先,将简化后的TS模型表示为局部状态空间方程。其次,我们证明了具有简化非线性规则的一般TS模糊系统是全称逼近器。通过并联分布式补偿(PDC)方案,提出了一种模糊控制器的系统设计方法。最后,给出了保证模糊系统稳定的充分必要条件。
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