Robust PID Control Of Intelligent Uncertainty Structure Vibration

Structure vibration control is a new developing subject in late decade, its main tasks are the theories, methods and application. The intelligent structure with piezoelectricity materials as sensors and actuators is a brand-new subject in structure vibration control engineering. This paper has mainly studied structure vibration on the object of piezoelectricity intelligent beam structure. At first, on the principle of Hamilton, considering the electro-mechanical coupling of piezoelectricity intelligent beam structure, the finite element functions of piezoelectricity intelligent beam structure are obtained. With taking into account some uncertainty factors, the vibration control model of piezoelectricity intelligent beam structure is founded. And then, for uncertainty linear continuous model, a guaranteed cost robust PID control method has been designed. Through solution a convex optimal problem of linear matrix inequality, the optimal parameters of PID controller have been obtained. Furthermore, a time delay discrete guaranteed cost robust PID control method has been designed for uncertainty linear time delay discrete model, which time delay and discrete factors in practice are considered. The problem of tuning of discrete PID controller parameters is changed into the resolve of a convex optimal problem of linear matrix inequality. Finally, taking an example about of an intelligent cantilever beam, the control algorithms for the two control methods proposed in this paper are computer simulated. The simulation results show that the feasibility and effectiveness of the two control methods.