关键词: 自动控制技术, 热机电耦合, 平衡降阶法, 不确定性, 鲁棒控制, 数值仿真

Abstract:

For the piezothermoelastic intelligent laminated plate, a calculation method of the system uncertainty after the balanced reduction was derived on the basis of the twopoint method, the solution of eigenvalue and eigenvector against the sensitivity, the first-order Taylor series expansion and the interval mathematics. For the obtained system with reduced uncertainty, the formation of the generalized control object, the solution process of the H∞ robust controller to suppress the structure vibration were discussed, and the decomposing form of the uncertainty matrix with lower dimensionality was given. Taking an intelligent cantilever plate as an example, the comparison between the outputs from the original uncertainty system and from the reduced uncertainty system with the same input showed that the original system can be substituted approximately by the reduced system. The vibration suppression of the original system can be realized by the H∞ robust controller derived from the reduced system. The calculation example proved the feasibility of the suggested method.

Key words: automatic control, piezothermoelasticity, balanced reduction, uncertainty, robust control, numerical simulation