Hoo control for active vibration suppression in smart structures using nonsmooth and nonconvex optimization

Abstract eng:
In this paper, a robust control system is developed for a flexible beam with piezoelectric components. A finite element formulation for modeling the dynamics of the laminated smart beam with bonded piezoelectric sensors/actuators is used. Cubic and quadratic Hermitian polynomials are employed for the transverse and rotational displacement respectively. The polynomials are used as basis functions for the construction of the finite element model, which is based on Timoshenko beam theory. The control problem is to keep the beam in equilibrium in the event of external wind disturbances and in the presence of model inaccuracies, using the available measurements and control limits. Also of interest is the maximum disturbance the system can handle, given its piezoelectric voltage limits. In order to take explicitly into account the uncertainty in the system, the theory of robust H∞ feedback control is used. Solutions to robust stability and robust performance are shown to be very satisfactory through extensive simulations.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket