Applying the Linear Matrix Inequality for Hybrid Fuzzy/H-infinity Control of Active Structural Damping

This paper proposes a design method of H^infin control performance for structural systems using Takagi-Sugeno (T-S) fuzzy model. The structural system with tuned mass damper is modeled by T-S type fuzzy model. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the tuned mass damper system. According to the control system, a sufficient stability condition is derived in terms of Lyapunov theory and this control problem is reformulated into solving linear matrix inequalities (LMI) problem.