RETRACTED: Suppression of panel flutter of near-space aircraft based on non-probabilistic reliability theory

Abstract

The vibration active control of the composite panels with the uncertain parameters in the hypersonic flow is studied using the non-probabilistic reliability theory. Using the piezoelectric patches as active control actuators, dynamic equations of panel are established by finite element method and Hamilton's principle. And the control model of panel with uncertain parameters is obtained. According to the non-probabilistic reliability index, and besides being based on H N robust control theory and non-probabilistic reliability theory, the non-probabilistic reliability performance function is given. Moreover, the relationships between the robust controller and H N performance index and reliability are established. Numerical results show that the control method under the influence of reliability, H N performance index, and approaching velocity is effective to the vibration suppression of panel in the whole interval of uncertain parameters.

A probabilistic robust mixed H2/H∞ fuzzy control method for hypersonic vehicles based on reliability theory

“…With the prescribed reliability level, if H 2 and H 1 performance are considered to be optimized simultaneously, then the optimal fuzzy control design is a multi-objective optimization problem. According to equations (30) and (38), a reliability-based optimization of the robust mixed H 2 /H 1 fuzzy control can be carried out by solving the following problem Minimize c 1 g 2 þ c 2 TrðX À1 Þ ; s :t :…”

“…For example, Zhang et al optimized the H 1 performance under the condition that the prescribed reliability level is satisfied. 30 However, the reliability methods were developed based on the linearized model under a specific trim condition, which may not guarantee a desirable performance along the trajectory of HV. In such cases, it is more appealing to employ the T-S fuzzy control to transform the nonlinear system of HV into a set of local linear models, and then optimize the performance of HV with a prescribed reliability level based on LMIs.…”

Robust control for a tracking electromechanical system

“…In the study [6], vibrational control of composite panels that contain indeterminate parameters in a hypersonic flow is analyzed on non-probabilistic reliability. Its simulation results show the high efficiency of the applied control method under the influenced reliability.…”

Robust control of aircraft flight in conditions of disturbances

“…In research [10] the active vibration control of composite panels with uncertain parameters in a hypersonic flow is studied using the non-probabilistic reliability theory. Using the piezoelectric patches as active control actuators, dynamic equations of panel are determined by the finite element method and Hamilton's principle.…”