A class of hybrid algorithms of real-time simulation based on evaluation of non-integerstep right-hand side function are presented in this paper. And some results of the convergence and stability of the algorithms are...A class of hybrid algorithms of real-time simulation based on evaluation of non-integerstep right-hand side function are presented in this paper. And some results of the convergence and stability of the algorithms are given. Using the class of algorithms, evaluation for the right-hand side function is needed once in every integration-step. Moreover, comparing with the other methods with the same amount of work, their numerical stability regions are larger and the method errors are smaller, and the numerical experiments show that the algorithms are very effective.展开更多
In this paper a class of real-time parallel modified Rosenbrock methods of numerical simulation is constructed for stiff dynamic systems on a multiprocessor system, and convergence and numerical stability of these met...In this paper a class of real-time parallel modified Rosenbrock methods of numerical simulation is constructed for stiff dynamic systems on a multiprocessor system, and convergence and numerical stability of these methods are discussed. A-stable real-time parallel formula of two-stage third-order and A(α)-stable real-time parallel formula with o ≈ 89.96° of three-stage fourth-order are particularly given. The numerical simulation experiments in parallel environment show that the class of algorithms is efficient and applicable, with greater speedup.展开更多
In this paper, a mathematical model of real-time simulation is given, and the problem of convergence on real-time Runge-Kutta algorithms is analysed. At last a theorem on the relation between the order of compensation...In this paper, a mathematical model of real-time simulation is given, and the problem of convergence on real-time Runge-Kutta algorithms is analysed. At last a theorem on the relation between the order of compensation and the convergent order of real-time algorithm is proved.展开更多
In this paper parallel Rosenbrock methods in real-time simulation are presented on parallel computers. Their construction, their convergence and their numerical stability are studied, and the numerical simulation expe...In this paper parallel Rosenbrock methods in real-time simulation are presented on parallel computers. Their construction, their convergence and their numerical stability are studied, and the numerical simulation experiments are conducted on a personal computer and a parallel computer respectively. [ABSTRACT FROM AUTHOR]展开更多
针对长江大学油水气多相流实验分析系统中空气罐采用传统PID控制器进行加热控制难以准确、直观表现控制系统的状态,调整PID参数困难,控制超调大、不稳定等问题,依据Mamdani模糊算法设计了基于PLC的模糊PID控制器。给出了模糊控制器的结...针对长江大学油水气多相流实验分析系统中空气罐采用传统PID控制器进行加热控制难以准确、直观表现控制系统的状态,调整PID参数困难,控制超调大、不稳定等问题,依据Mamdani模糊算法设计了基于PLC的模糊PID控制器。给出了模糊控制器的结构框图,PLC系统与Simulink仿真软件之间通过Win CC 7.0的OPC服务器进行实时数据交换,实现了控制系统的实时仿真,结果表明,模糊PID控制器相比于传统PID控制器超调有了很大的改善,控制过程也更加稳定、迅速。展开更多
文摘A class of hybrid algorithms of real-time simulation based on evaluation of non-integerstep right-hand side function are presented in this paper. And some results of the convergence and stability of the algorithms are given. Using the class of algorithms, evaluation for the right-hand side function is needed once in every integration-step. Moreover, comparing with the other methods with the same amount of work, their numerical stability regions are larger and the method errors are smaller, and the numerical experiments show that the algorithms are very effective.
基金This project was supported by the National Natural Science Foundation of China (No. 19871080).
文摘In this paper a class of real-time parallel modified Rosenbrock methods of numerical simulation is constructed for stiff dynamic systems on a multiprocessor system, and convergence and numerical stability of these methods are discussed. A-stable real-time parallel formula of two-stage third-order and A(α)-stable real-time parallel formula with o ≈ 89.96° of three-stage fourth-order are particularly given. The numerical simulation experiments in parallel environment show that the class of algorithms is efficient and applicable, with greater speedup.
文摘In this paper, a mathematical model of real-time simulation is given, and the problem of convergence on real-time Runge-Kutta algorithms is analysed. At last a theorem on the relation between the order of compensation and the convergent order of real-time algorithm is proved.
文摘In this paper parallel Rosenbrock methods in real-time simulation are presented on parallel computers. Their construction, their convergence and their numerical stability are studied, and the numerical simulation experiments are conducted on a personal computer and a parallel computer respectively. [ABSTRACT FROM AUTHOR]
文摘针对长江大学油水气多相流实验分析系统中空气罐采用传统PID控制器进行加热控制难以准确、直观表现控制系统的状态,调整PID参数困难,控制超调大、不稳定等问题,依据Mamdani模糊算法设计了基于PLC的模糊PID控制器。给出了模糊控制器的结构框图,PLC系统与Simulink仿真软件之间通过Win CC 7.0的OPC服务器进行实时数据交换,实现了控制系统的实时仿真,结果表明,模糊PID控制器相比于传统PID控制器超调有了很大的改善,控制过程也更加稳定、迅速。
