Search

In this paper, we present a fuzzy PID control system as a combination of a fuzzy PID controller and a fuzzy control process, which is represented by a fuzzy control differential equation in linear form. We use the concepts of the generalized Hukuhara differentiability and the fuzzy integral of fuzzy-valued functions to study some qualitative properties for this system in the space of fuzzy numbers. We also study the existence and uniqueness result for solutions of fuzzy PID control differential equations under some suitable conditions. A number of examples are also provided to illustrate the results of the theory. [ABSTRACT FROM AUTHOR]

In this paper, the stochastic stabilization problem of uncertain networked control systems involving Takagi–Sugeno (T–S) fuzzy model, transmission delays and external disturbances is investigated, where the random network-induced delays are modeled as Markov chains. Firstly, by combining T–S fuzzy model with fuzzy PID controller, the uncertain networked control systems with random communication delays and external disturbances are modeled. Then, the uncertain networked control system is simplified through a mathematical method, and the stabilizing controller is derived for the uncertain networked control systems by using Lyapunov functional and linear matrix inequality. Finally, simulation results are presented to verify the effectiveness and availability of the developed results. [ABSTRACT FROM AUTHOR]