The paper presents modeling approach of a Single Ended Primary Inductance Converter (SEPIC) system. The complete model derivation of the SEPIC converter system has been presented in different modes of operation. Stead...The paper presents modeling approach of a Single Ended Primary Inductance Converter (SEPIC) system. The complete model derivation of the SEPIC converter system has been presented in different modes of operation. Steady state and small signal analysis was carried out on the converter dynamic equations using the method of Harmonic balance Technique. The steady state variables and their respective ripple quantities obtained were plotted against duty ratio D. The results obtained for a supply input voltage of 60 volts to the converter at a duty ratio of D = 0.8 , compares well with simulation results.展开更多
In this paper, a hybrid predictive controller is proposed for a class of uncertain switched nonlinear systems based on high-order differential state observers and Lyapunov functions. The main idea is to design an outp...In this paper, a hybrid predictive controller is proposed for a class of uncertain switched nonlinear systems based on high-order differential state observers and Lyapunov functions. The main idea is to design an output feedback bounded controller and a predictive controller for each subsystem using high-order differential state observers and Lyapunov functions, to derive a suitable switched law to stabilize the closed-loop subsystem, and to provide an explicitly characterized set of initial conditions. For the whole switched system, based on the high-order differentiator, a suitable switched law is designed to ensure the whole closed-loop’s stability. The simulation results for a chemical process show the validity of the controller proposed in this paper.展开更多
There are many papers related to stability, some on suppression or on stabilization are one type of them. Functional differential systems are common and important in practice. They are special situations of neutral di...There are many papers related to stability, some on suppression or on stabilization are one type of them. Functional differential systems are common and important in practice. They are special situations of neutral differential systems and generalization of ordinary differential systems. We discussed conditions on suppression on functional system with Markovian switching in our previous work: “Suppression of Functional System with Markovian Switching”. Based on it, by slightly modifying and adding some conditions, we get this paper. In this paper, we will study a functional system whose coefficient satisfies the local Lipschitz condition and the one-sided polynomial growth condition under Markovian switching. By introducing two appropriate intensity Brownian noise, we find the potential explosion system stabilized.展开更多
This paper investigates the finite-time H<sub>∞</sub> control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dep...This paper investigates the finite-time H<sub>∞</sub> control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H<sub>∞</sub> control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions.展开更多
带脉冲恒功率负载的直流供电系统(DC power supply system with pulse constant power load,PCPL-DCPS)运行过程随脉冲参数的变化包含多种不同运行状态。目前电力系统单模态大信号稳定性分析方法无法适用于中高频状态脉冲负载的稳定性...带脉冲恒功率负载的直流供电系统(DC power supply system with pulse constant power load,PCPL-DCPS)运行过程随脉冲参数的变化包含多种不同运行状态。目前电力系统单模态大信号稳定性分析方法无法适用于中高频状态脉冲负载的稳定性分析。为此,提出了一种结合切换理论和混合势函数法的统一大信号稳定性分析方法。该方法以快慢切换驻留时间为界,划分了切换系统快慢切换稳定域,并以满足不同驻留时间为条件,提出不同域的大信号稳定性分析原则。以PCPL-DCPS为研究对象进行仿真试验,对比单模态稳定性判据和渐进稳定域域界,验证了快慢切换稳定域界划分和分析方法更合理,并进一步将切换系统稳定性与脉冲频率关联,得到了更为统一和直观的表达式。所述方法适用于全时段的切换电力系统,也可扩展应用到带脉冲负载的交流供电系统的稳定性研究中,进一步指导脉冲负载的峰值功率、脉冲频率等参数的选取。展开更多
文摘The paper presents modeling approach of a Single Ended Primary Inductance Converter (SEPIC) system. The complete model derivation of the SEPIC converter system has been presented in different modes of operation. Steady state and small signal analysis was carried out on the converter dynamic equations using the method of Harmonic balance Technique. The steady state variables and their respective ripple quantities obtained were plotted against duty ratio D. The results obtained for a supply input voltage of 60 volts to the converter at a duty ratio of D = 0.8 , compares well with simulation results.
文摘In this paper, a hybrid predictive controller is proposed for a class of uncertain switched nonlinear systems based on high-order differential state observers and Lyapunov functions. The main idea is to design an output feedback bounded controller and a predictive controller for each subsystem using high-order differential state observers and Lyapunov functions, to derive a suitable switched law to stabilize the closed-loop subsystem, and to provide an explicitly characterized set of initial conditions. For the whole switched system, based on the high-order differentiator, a suitable switched law is designed to ensure the whole closed-loop’s stability. The simulation results for a chemical process show the validity of the controller proposed in this paper.
基金Acknowledgments The research was financially supported by the National Natural Science Foundation of China (Grant No. 11402309) and the Science Foundation of China University of Petroleum, Beijing (No. YJRC-2013-32).
文摘There are many papers related to stability, some on suppression or on stabilization are one type of them. Functional differential systems are common and important in practice. They are special situations of neutral differential systems and generalization of ordinary differential systems. We discussed conditions on suppression on functional system with Markovian switching in our previous work: “Suppression of Functional System with Markovian Switching”. Based on it, by slightly modifying and adding some conditions, we get this paper. In this paper, we will study a functional system whose coefficient satisfies the local Lipschitz condition and the one-sided polynomial growth condition under Markovian switching. By introducing two appropriate intensity Brownian noise, we find the potential explosion system stabilized.
文摘This paper investigates the finite-time H<sub>∞</sub> control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H<sub>∞</sub> control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions.
文摘带脉冲恒功率负载的直流供电系统(DC power supply system with pulse constant power load,PCPL-DCPS)运行过程随脉冲参数的变化包含多种不同运行状态。目前电力系统单模态大信号稳定性分析方法无法适用于中高频状态脉冲负载的稳定性分析。为此,提出了一种结合切换理论和混合势函数法的统一大信号稳定性分析方法。该方法以快慢切换驻留时间为界,划分了切换系统快慢切换稳定域,并以满足不同驻留时间为条件,提出不同域的大信号稳定性分析原则。以PCPL-DCPS为研究对象进行仿真试验,对比单模态稳定性判据和渐进稳定域域界,验证了快慢切换稳定域界划分和分析方法更合理,并进一步将切换系统稳定性与脉冲频率关联,得到了更为统一和直观的表达式。所述方法适用于全时段的切换电力系统,也可扩展应用到带脉冲负载的交流供电系统的稳定性研究中,进一步指导脉冲负载的峰值功率、脉冲频率等参数的选取。