Fuzzy control of interconnected structural systems using the fuzzy Lyapunov method

摘要

In this study, a closed-form, easy-to-use fuzzy control method for interconnected structural systems is developed. First, the structural systems are reviewed. Interconnected schemes are employed to represent the structural systems and their subsystems. The representation of the interconnected systems consists of J interconnected subsystems. Stability is ensured by the criteria derived from the fuzzy Lyapunov functions. The fuzzy Lyapunov function is defined as the fuzzy blending of quadratic Lyapunov functions. If the criteria are satisfied, the stability of the structural interconnected system is guaranteed. Common solutions can be obtained by solving a set of linear matrix inequalities that are numerically feasible. To verify the effectiveness of the interconnected structural system, illustrative examples are presented for a practical tuned mass damper mounted on a building structure. Finally, the proposed control method is demonstrated using an example in which the interconnected technique is utilized to represent large-scaled structural systems.