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An approach to robust fuzzy control for TORA systems with Takagi-Sugeno fuzzy model subject to multiple constraints

This paper presents a control strategy of Takagi-Sugeno fuzzy model-based for translational oscillations with a proof mass actuator, which is well known as a nonlinear control benchmark problem. The state variance constraints and output variance constraints are employed to suppress the vibration in the system. For the perturbations in the system, the uncertainties are considered and the robust control approach is employed. Additionally, the pole placement constraint has been considered to have better performance. Finally, the stability conditions with multiple constraints can be constructed via Lyapunov theory and controller can be solved by LMI approach.