| References | Base model | Control method | Direct IOHM | Indirect IOHM | Algorithm |
| [156] | Modified PI | Feedforward | Negative | Existence | Error back-propagation algorithm. |
| [157] | Modified Bouc?Wen | Feedforward | Negative | Existence | Self-adaptive cooperative PSO algorithm. |
| [158] | Data separated by a PI | Feedforward | Negative | Existence | A novel differential evolution algorithm. |
| [159] | The hysteresis submodel | Feedforward | Existence | Negative | Radial basis function neural network. |
| [160] | Temperature-dependent asymmetric PI | Feedback | Negative | Existence | Parameter estimation algorithm. |
| [85] | Rate-dependent asymmetric hysteresis PI | Robust adaptive controller | Negative | Negative | Improved genetic algorithm. |
| [161] | Least-squares support-vector machines based on nonlinear autoregressive exogenous | Incremental PID controller | Negative | Existence | PSO algorithm. Least-squares support-vector machines regression algorithm. |
| [162] | Back propagation neural network | PID | Negative | Existence | Adaptive particle swarm algorithm. |
| [163] | Hybrid static hysteresis | Feedforward | Negative | Existence | PSO algorithm. |