Neural-network fuzzy control for chaotic tuned mass damper systems with time delays

There has been increasing interest in control systems and their applications in recent years, such as intelligent robots and artificial intelligence. Therefore, a method of neural-network fuzzy control is proposed for a time-delay chaotic building system. Both the Tagaki-Sugeno fuzzy model and parallel distributed compensation scheme are utilized in the controller design. A novel stability condition is derived using the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions, to ensure the stability of chaotic building systems. This control problem is reformulated into a linear matrix inequality (LMI) problem, and a simulation for a tuned mass damper system is provided to explore the feasibility of the proposed fuzzy controller design method.