This paper presents an approach to model the impact behaviour of a dual-acting magnetorheological elastomer (MRE) damper using 4th-order polynomial functions optimized with a gravitational search ...algorithm. MRE is a type of smart material that can change its mechanical properties in response to an injected current, making it well-suited for a wide range of applications such as vibration absorption, noise cancellation, and shock mitigation. The proposed model uses a combination of polynomial functions designed to predict the nonlinearity of MRE during compression and extension stages. The model is tuned and validated using experimental data from impact tests conducted on the MRE damper under various currents. The results indicate that the developed model can accurately track the impact behaviour of MRE with minimum error. Additionally, an interpolation model is proposed to estimate the appropriate forces for median currents. The interpolation model predicts the force between the upper and lower currents, demonstrating the model's ability to predict MRE behaviour accurately. The main contribution of this study is proposing a non-parametric model of MRE that is able to identify the hysteretic behaviour of the MRE based on specific current applied. In addition, an interpolation model is introduced in this study to cover not only the input current starting from 0 A to 2 A but also the intermediate current such as 0.3 A, 0.7 A, 1.3 A and 1.7 A.
Modeling of a plant with variable operating conditions is considered. The plant is described by an interpolation of proper stable coprime factorizations of two transfer functions obtained at ...representative operating points. Nonlinear interpolation functions are introduced in the numerator and denominator of the interpolated model individually, which tune the interpolation parameters at reference operating points. A problem of finding suitable nonlinear interpolation functions and coprime factorizations of the transfer functions at representative operating points is formulated so that the nonlinearly interpolated model becomes the best approximation of the plant. A solution method is presented in the state space utilizing matrix inequalities.
Interpolation techniques are known to reduce computational complexity of model predictive control (MPC) (Bacic et al., 2003), (Rossiter et al., 2004). This paper presents the general interpolation ...based MPC (IMPC) for a constrained linear system with bounded disturbances. The resulting MPC control law comprises an interpolation between several single MPC control laws. Compared with single MPC control law implementations, the proposed approach has the advantage of combining the merits of having a large domain of attraction and good asymptotic behavior. The performances of the approach are presented via an example.
PDF
