针对开关磁阻电机PID(Proportional Integral Derivative)控制中存在的稳定性差、参数调节困难等问题,文中基于传统开关磁阻电机PID调速系统引入鲸鱼优化算法,将改进时间绝对误差函数作为适应度函数对K_(p)、K_(i)、K_(d)这3个控制参数...针对开关磁阻电机PID(Proportional Integral Derivative)控制中存在的稳定性差、参数调节困难等问题,文中基于传统开关磁阻电机PID调速系统引入鲸鱼优化算法,将改进时间绝对误差函数作为适应度函数对K_(p)、K_(i)、K_(d)这3个控制参数进行整定。在MATLAB/Simulink仿真平台搭建了三相6/4极开关磁阻电机的PID参数整定系统,分析了传统经验PID调参和算法整定参数的效果对比,并将鲸鱼算法的优化效果与粒子群算法、遗传算法和灰狼优化算法结果进行对比。仿真结果表明,所提方法获得的PID参数较精确,其效果优于3种对比算法。相比于经验法整定参数,鲸鱼算法整定参数响应速度提升了51.10%,误差减小了0.67%,使调速系统具有更快、更稳定的响应特性。展开更多
Standard genetic algorithms （SGAs） are investigated to optimise discrete-time proportional-integral-derivative （PID） con- troller parameters, by three tuning approaches, for a multivariable glass furnace process w...Standard genetic algorithms （SGAs） are investigated to optimise discrete-time proportional-integral-derivative （PID） con- troller parameters, by three tuning approaches, for a multivariable glass furnace process with loop interaction. Initially, standard genetic algorithms （SGAs） are used to identify control oriented models of the plant which are subsequently used for controller optimisa- tion. An individual tuning approach without loop interaction is considered first to categorise the genetic operators, cost functions and improve searching boundaries to attain the desired performance criteria. The second tuning approach considers controller parameters optimisation with loop interaction and individual cost functions. While, the third tuning approach utilises a modified cost function which includes the total effect of both controlled variables, glass temperature and excess oxygen. This modified cost function is shown to exhibit improved control robustness and disturbance rejection under loop interaction.展开更多
A fuzzy control algorithm of asymmetric fuzzy strategy is introduced for a servo-pneumatic position system. It can effectively solve the difficult problems of single rod low friction cylinders, which are mainly caused...A fuzzy control algorithm of asymmetric fuzzy strategy is introduced for a servo-pneumatic position system. It can effectively solve the difficult problems of single rod low friction cylinders, which are mainly caused by asymmetric structures and different friction characteristics in two directions. On the basis of this algorithm, a traditional PID control is used to improve dynamic performance. Furthermore, a new asymmetric fuzzy PID control with α factor is advanced to improve the self-adaptability and robustness of the system. Both the theoretical analyses and experimental results prove that, with this control strategy, the dynamic performance of the system can be greatly improved. The system using this control algorithm has strong robustness and it obtains desired overshoot and repeatability in both transient and steady-state responses.展开更多
The Legendre orthogonal functions are employed to design the family of PID controllers for a variety of plants. In the proposed method, the PID controller and the plant model are represented with their corresponding L...The Legendre orthogonal functions are employed to design the family of PID controllers for a variety of plants. In the proposed method, the PID controller and the plant model are represented with their corresponding Legendre series. Matching the first three terms of the Legendre series of the loop gain with the desired one gives the PID controller parameters. The closed loop system stability conditions in terms of the Legendre basis function pole(λ) for a wide range of systems including the first order, second order, double integrator, first order plus dead time, and first order unstable plants are obtained. For first order and double integrator plants, the closed loop system stability is preserved for all values of λ and for the other plants, an appropriate range in terms of λ is obtained. The optimum value of λ to attain a minimum integral square error performance index in the presence of the control signal constraints is achieved. The numerical simulations demonstrate the benefits of the Legendre based PID controller.展开更多
自平衡机器人是验证各种控制算法的经典装置,研究传输时滞对其控制系统的影响具有重要意义。基于李雅普诺夫-克拉索夫斯基(Lyapunov-Krasovskii,L-K)泛函方法讨论了自平衡机器人的控制问题。首先,建立了直流电机的线性化模型,并应用拉...自平衡机器人是验证各种控制算法的经典装置,研究传输时滞对其控制系统的影响具有重要意义。基于李雅普诺夫-克拉索夫斯基(Lyapunov-Krasovskii,L-K)泛函方法讨论了自平衡机器人的控制问题。首先,建立了直流电机的线性化模型,并应用拉格朗日方程法建立了自平衡机器人的线性数学模型;然后,进一步考虑传输时滞环节,建立基于多闭环比例积分微分(proportional integral differential,PID)控制器的自平衡机器人控制系统的整体状态空间模型;最后,应用广义自由矩阵积分不等式,建立了低保守性的L-K稳定性判据,在此基础上通过MATLAB中的线性矩阵不等式(linear matrix inequality,LMI)工具箱去求解PID控制增益对时滞稳定裕度的影响。仿真结果表明,所提出的系统稳定性判据不仅有效,而且具有较低的保守性。展开更多
A closed-chain robot has several advantages over an open-chain robot, such as high mechanical rigidity, high payload, high precision. Accurate trajectory control of a robot is essential in practical-use. This paper pr...A closed-chain robot has several advantages over an open-chain robot, such as high mechanical rigidity, high payload, high precision. Accurate trajectory control of a robot is essential in practical-use. This paper presents an adaptive proportional integral differential （PID） control algorithm based on radial basis function （RBF） neural network for trajectory tracking of a two-degree-of-freedom （2-DOF） closed-chain robot. In this scheme, an RBF neural network is used to approximate the unknown nonlinear dynamics of the robot, at the same time, the PID parameters can be adjusted online and the high precision can be obtained. Simulation results show that the control algorithm accurately tracks a 2-DOF closed-chain robot trajectories. The results also indicate that the system robustness and tracking performance are superior to the classic PID method.展开更多
文摘针对开关磁阻电机PID(Proportional Integral Derivative)控制中存在的稳定性差、参数调节困难等问题,文中基于传统开关磁阻电机PID调速系统引入鲸鱼优化算法,将改进时间绝对误差函数作为适应度函数对K_(p)、K_(i)、K_(d)这3个控制参数进行整定。在MATLAB/Simulink仿真平台搭建了三相6/4极开关磁阻电机的PID参数整定系统,分析了传统经验PID调参和算法整定参数的效果对比,并将鲸鱼算法的优化效果与粒子群算法、遗传算法和灰狼优化算法结果进行对比。仿真结果表明,所提方法获得的PID参数较精确,其效果优于3种对比算法。相比于经验法整定参数,鲸鱼算法整定参数响应速度提升了51.10%,误差减小了0.67%,使调速系统具有更快、更稳定的响应特性。
文摘Standard genetic algorithms （SGAs） are investigated to optimise discrete-time proportional-integral-derivative （PID） con- troller parameters, by three tuning approaches, for a multivariable glass furnace process with loop interaction. Initially, standard genetic algorithms （SGAs） are used to identify control oriented models of the plant which are subsequently used for controller optimisa- tion. An individual tuning approach without loop interaction is considered first to categorise the genetic operators, cost functions and improve searching boundaries to attain the desired performance criteria. The second tuning approach considers controller parameters optimisation with loop interaction and individual cost functions. While, the third tuning approach utilises a modified cost function which includes the total effect of both controlled variables, glass temperature and excess oxygen. This modified cost function is shown to exhibit improved control robustness and disturbance rejection under loop interaction.
文摘A fuzzy control algorithm of asymmetric fuzzy strategy is introduced for a servo-pneumatic position system. It can effectively solve the difficult problems of single rod low friction cylinders, which are mainly caused by asymmetric structures and different friction characteristics in two directions. On the basis of this algorithm, a traditional PID control is used to improve dynamic performance. Furthermore, a new asymmetric fuzzy PID control with α factor is advanced to improve the self-adaptability and robustness of the system. Both the theoretical analyses and experimental results prove that, with this control strategy, the dynamic performance of the system can be greatly improved. The system using this control algorithm has strong robustness and it obtains desired overshoot and repeatability in both transient and steady-state responses.
文摘The Legendre orthogonal functions are employed to design the family of PID controllers for a variety of plants. In the proposed method, the PID controller and the plant model are represented with their corresponding Legendre series. Matching the first three terms of the Legendre series of the loop gain with the desired one gives the PID controller parameters. The closed loop system stability conditions in terms of the Legendre basis function pole(λ) for a wide range of systems including the first order, second order, double integrator, first order plus dead time, and first order unstable plants are obtained. For first order and double integrator plants, the closed loop system stability is preserved for all values of λ and for the other plants, an appropriate range in terms of λ is obtained. The optimum value of λ to attain a minimum integral square error performance index in the presence of the control signal constraints is achieved. The numerical simulations demonstrate the benefits of the Legendre based PID controller.
文摘自平衡机器人是验证各种控制算法的经典装置,研究传输时滞对其控制系统的影响具有重要意义。基于李雅普诺夫-克拉索夫斯基(Lyapunov-Krasovskii,L-K)泛函方法讨论了自平衡机器人的控制问题。首先,建立了直流电机的线性化模型,并应用拉格朗日方程法建立了自平衡机器人的线性数学模型;然后,进一步考虑传输时滞环节,建立基于多闭环比例积分微分(proportional integral differential,PID)控制器的自平衡机器人控制系统的整体状态空间模型;最后,应用广义自由矩阵积分不等式,建立了低保守性的L-K稳定性判据,在此基础上通过MATLAB中的线性矩阵不等式(linear matrix inequality,LMI)工具箱去求解PID控制增益对时滞稳定裕度的影响。仿真结果表明,所提出的系统稳定性判据不仅有效,而且具有较低的保守性。
基金Project supported bY the National Natural Science Foundation of China （Grant No.50375085）, and the Natural Science Foundation of Shandong Province （Grant No.Y2002F13）
文摘A closed-chain robot has several advantages over an open-chain robot, such as high mechanical rigidity, high payload, high precision. Accurate trajectory control of a robot is essential in practical-use. This paper presents an adaptive proportional integral differential （PID） control algorithm based on radial basis function （RBF） neural network for trajectory tracking of a two-degree-of-freedom （2-DOF） closed-chain robot. In this scheme, an RBF neural network is used to approximate the unknown nonlinear dynamics of the robot, at the same time, the PID parameters can be adjusted online and the high precision can be obtained. Simulation results show that the control algorithm accurately tracks a 2-DOF closed-chain robot trajectories. The results also indicate that the system robustness and tracking performance are superior to the classic PID method.
