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## Research Article Multiobjective Optimization Design of a Fractional Order PID Controller for a Gun Control System (2013)

### Citations

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Opposition-based differential evolution,”
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Citation Context ...for DE to enhance the convergent speeds [32]. In this paper, we extended this initialization concept for a multiobjective optimization process.The opposition partner of ... |

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Citation Context ...One is the weighted-sum approach where the multiobjective is converted to the single-objective problem by weighting sum of the objectives. This approach highly depends on decision-maker’s preferences =-=[27, 28]-=-. Another approach is based on a set of solutions called Paretooptimal solutions. This approach would be much more comprehensive and objective. Thus, the Pareto domain concept is embedded in DE to for... |

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Citation Context ...uences the stability and tracking performances of servosystems. However, there are no universal methods for optimally determining these parameters due to the complexity of fractional order operations =-=[11, 12]-=-. Up to date, various tuning methods have been proposed. For practical applications, these methods could mainly be classified into two sorts, namely, frequency domain based methods [12, 13] and time d... |

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Citation Context ...the candidate will be discarded. Otherwise, the candidate is added in the population. If the population has more than PopSize individuals, truncate it according to the Filtrating Strategy proposed in =-=[26]-=-. 5. Parameter Tuning Results and Discussion 5.1. Optimal Tuning of Controller Parameters. As for the description of the AC servosystem, the system parameters are chosen as follows: ... |

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Citation Context ...olutionary optimization basedmethods [14– 16]. In frequency domain, the loop-shaping based method has recently been proposed and updated by Luo and Chen 2 The Scientific World Journal [12], Li et al. =-=[17]-=-, Luo and Chen [18], and Luo et al. [19]. In thismethod, the following three items are specified to achieve desired performances of the control system, namely, the gain crossover frequency, the phasem... |

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Citation Context ... ... |

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Citation Context ... with better solutions will possess faster convergence. Motivated by this, Rahnamayan et al. proposed an opposition based population initialization (OPI)method for DE to enhance the convergent speeds =-=[32]-=-. In this paper, we extended this initialization concept for a multiobjective optimization process.The opposition partner of ... |

8 |
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Citation Context ...uences the stability and tracking performances of servosystems. However, there are no universal methods for optimally determining these parameters due to the complexity of fractional order operations =-=[11, 12]-=-. Up to date, various tuning methods have been proposed. For practical applications, these methods could mainly be classified into two sorts, namely, frequency domain based methods [12, 13] and time d... |

7 | Fractional-order PID controller optimization via improved electromagnetism-like algorithm,” - Lee, Chang - 2010 |

6 |
Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems,”
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Citation Context ...tion basedmethods [14– 16]. In frequency domain, the loop-shaping based method has recently been proposed and updated by Luo and Chen 2 The Scientific World Journal [12], Li et al. [17], Luo and Chen =-=[18]-=-, and Luo et al. [19]. In thismethod, the following three items are specified to achieve desired performances of the control system, namely, the gain crossover frequency, the phasemargin, and the flat... |

6 | Experimental study of fractional order proportional derivative controller synthesis for fractional order systems,”Mechatronics,
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Citation Context ...– 16]. In frequency domain, the loop-shaping based method has recently been proposed and updated by Luo and Chen 2 The Scientific World Journal [12], Li et al. [17], Luo and Chen [18], and Luo et al. =-=[19]-=-. In thismethod, the following three items are specified to achieve desired performances of the control system, namely, the gain crossover frequency, the phasemargin, and the flat phase constraint at ... |

5 |
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Citation Context ...trol systems (FCSs); the motion robustness and the motion accuracy of the gun barrel are regarded as the two main challenges associated with the developments of GCEs possessing excellent performances =-=[1, 2]-=-. The motion control of gun barrels is an ongoing topic due to certain extremely complicated segments with strong nonlinearities and uncertainties [3–5], such as the time-varying parameters induced by... |

5 |
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Citation Context ...ol method should be further explored for the gun control systems. Fractional order PID (FOPID), which was first proposed by Podlubny, is the extended version of conventional integer order PID (IOPID) =-=[7]-=-. FOPID possesses unique characteristics of infinite dimensions, memory effects, low sensitiveness to external disturbances, and so forth, when comparing with IOPID. Moreover, abundant dynamics, high ... |

4 |
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Citation Context ...is generated within the search space which is constrained by the prescribed lower and upper parameter bounds using the well known one-dimensional logistic chaotic map.The initial population is set as =-=[24]-=- ... |

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Citation Context ...ntional DE, ... |

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Citation Context ...trol systems (FCSs); the motion robustness and the motion accuracy of the gun barrel are regarded as the two main challenges associated with the developments of GCEs possessing excellent performances =-=[1, 2]-=-. The motion control of gun barrels is an ongoing topic due to certain extremely complicated segments with strong nonlinearities and uncertainties [3–5], such as the time-varying parameters induced by... |

3 |
The application of dual-PID regulation based on sliding mode control in a tank artillery stabilizer,”
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Citation Context ...trunnion, and so forth. To eliminate these nonlinearities that induced negative effects, a dominant method is the application of the well-known proportional-integral-derivative (PID) control strategy =-=[3, 4, 6]-=-. However, due to the inherent nonlinearities existing in gun control systems as mentioned above, it is hard for the linear PID control strategy to achieve excellent control behaviors, and consequentl... |

3 |
Application of active disturbance rejection control in tank gun control system,”
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Citation Context ...trunnion, and so forth. To eliminate these nonlinearities that induced negative effects, a dominant method is the application of the well-known proportional-integral-derivative (PID) control strategy =-=[3, 4, 6]-=-. However, due to the inherent nonlinearities existing in gun control systems as mentioned above, it is hard for the linear PID control strategy to achieve excellent control behaviors, and consequentl... |

3 |
A Novel Hybrid Control Strategy for Trajectory Tracking of Fast Tool Servo
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Citation Context ...o the works of Podlubny, the PI... |

3 | Design of fractional-order PI - Biswas, Das, et al. - 2009 |

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Citation Context ...ed tuning method has been proposed, and it will be a very promising method for designing optimal controllers, and various design objectives have been employed in both frequency domain and time domain =-=[20, 21]-=-. In this paper, a typical FOPID is employed for motion control of gun control system to enhance tracking accuracy and system robustness. To optimally determine the parameters of FOPID, an evolutionar... |

3 |
An improved adaptive feedforward cancellation for trajectory tracking of fast tool servo based on fractional
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Citation Context ... ... |

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2 | Method of adaptive fuzzy sliding mode control of gun control system of tank,” - Li - 2007 |

2 | Optimum design of fractional order PI - Tang, Cui, et al. - 2012 |

2 |
Design of a fractional order PID controller for an AVR using particle swarm optimization,”
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Citation Context ...ed tuning method has been proposed, and it will be a very promising method for designing optimal controllers, and various design objectives have been employed in both frequency domain and time domain =-=[20, 21]-=-. In this paper, a typical FOPID is employed for motion control of gun control system to enhance tracking accuracy and system robustness. To optimally determine the parameters of FOPID, an evolutionar... |

2 |
A SemiAdaptive Fractional Order PID Control Strategy for a Certain Gun Control Equipment,
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Citation Context ...o the works of Podlubny, the PI... |

2 |
and L.Ma, “Cross-scalemodeling and optimization of a cantilever-type micro/nano valve based on nonlocal stress theory,”
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Citation Context ...One is the weighted-sum approach where the multiobjective is converted to the single-objective problem by weighting sum of the objectives. This approach highly depends on decision-maker’s preferences =-=[27, 28]-=-. Another approach is based on a set of solutions called Paretooptimal solutions. This approach would be much more comprehensive and objective. Thus, the Pareto domain concept is embedded in DE to for... |

1 |
H ∞ design with fractional-order PD
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Citation Context ...operations [11, 12]. Up to date, various tuning methods have been proposed. For practical applications, these methods could mainly be classified into two sorts, namely, frequency domain based methods =-=[12, 13]-=- and time domain based evolutionary optimization basedmethods [14– 16]. In frequency domain, the loop-shaping based method has recently been proposed and updated by Luo and Chen 2 The Scientific World... |