This paper discuss about the simulation and synthesis of Takagi–Sugeno fuzzy system for a decentralized stabilization problem using parallel distribution compensation technique. In general if the inter connection link between any two dual subsystems is not in order and also not in a corresponding state that leads to the system to be in unstable condition. Here the fuzzy control is employed which has parallel distributed compensation technique for each and every subordinate system that is joined in which it depends on the power of the intercommunication. On the basis of Lyapunov criterion some ideal conditions are evolved for and by using linear matrix inequalities, effective compensation can be made for getting system in steady state condition. Hence by combining the fuzzy system in large scale with the fuzzy controller the system is noticeably steady one. In this paper a calculated sample is assumed to describe the controller and its effects and using above techniques the steady state condition of larger system can be obtained.

本文讨论了使用并行分布补偿技术对高阶分散镇定问题进行的Takagi-Sugeno模糊系统的仿真和综合。通常，如果任何两个双子系统之间的互连链接不规则，并且也未处于导致系统处于不稳定状态的相应状态。此处采用的模糊控制具有并行分布的补偿技术，该技术对所连接的每个从属系统均依赖于内部通信的能力。在李雅普诺夫准则的基础上，发展了一些理想条件，利用线性矩阵不等式，可以使系统达到稳态，进行有效补偿。因此，通过将模糊系统大规模地与模糊控制器相结合，该系统显然是稳定的。在本文中，假定一个计算样本来描述控制器及其作用，并且使用上述技术，可以获得较大系统的稳态条件。