By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impu...By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impulsive control. The linear quadratic optimizationproblems without constraints such as optimal hybrid control, optimal stability and optimalswitching instants are addressed in detail. These results are applicable to optimal control problemsin economics,mechanics, and management.展开更多
Many practical systems in physics, biology, engineer- ing and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynami- cal processes. The problems of finit...Many practical systems in physics, biology, engineer- ing and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynami- cal processes. The problems of finite-time stab!lity analysis are investigated for a class of Markovian switching stochastic sys- tems, in which exist impulses at the switching instants. Multiple Lyapunov techniques are used to derive sufficient conditions for finite-time stochastic stability of the overall system. Furthermore, a state feedback controller, which stabilizes the closed loop sys- tems in the finite-time sense, is then addressed. Moreover, the controller appears not only in the shift part but also in the diffu- sion part of the underlying stochastic subsystem. The results are reduced to feasibility problems involving linear matrix inequalities （LMIs）. A numerical example is presented to illustrate the proposed methodology.展开更多
利用脉冲切换控制的平均驻留时间方法对基于模型的网络控制系统(Model-Based NetWorked Control System,MB-NCS)进行了研究.将基于模型的网络控制系统建模为一类脉冲切换系统;利用脉冲切换控制的平均驻留时间方法给出了使此脉冲切换系...利用脉冲切换控制的平均驻留时间方法对基于模型的网络控制系统(Model-Based NetWorked Control System,MB-NCS)进行了研究.将基于模型的网络控制系统建模为一类脉冲切换系统;利用脉冲切换控制的平均驻留时间方法给出了使此脉冲切换系统指数稳定的充分条件;借助Lyapunov稳定性理论和线性矩阵不等式方法设计了使此脉冲切换系统稳定的控制器,并且通过仿真验证了所提出的方法的有效性.展开更多
文摘By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impulsive control. The linear quadratic optimizationproblems without constraints such as optimal hybrid control, optimal stability and optimalswitching instants are addressed in detail. These results are applicable to optimal control problemsin economics,mechanics, and management.
基金supported in part by the National Natural Science Foundation of China(60374015)
文摘Many practical systems in physics, biology, engineer- ing and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynami- cal processes. The problems of finite-time stab!lity analysis are investigated for a class of Markovian switching stochastic sys- tems, in which exist impulses at the switching instants. Multiple Lyapunov techniques are used to derive sufficient conditions for finite-time stochastic stability of the overall system. Furthermore, a state feedback controller, which stabilizes the closed loop sys- tems in the finite-time sense, is then addressed. Moreover, the controller appears not only in the shift part but also in the diffu- sion part of the underlying stochastic subsystem. The results are reduced to feasibility problems involving linear matrix inequalities （LMIs）. A numerical example is presented to illustrate the proposed methodology.
文摘利用脉冲切换控制的平均驻留时间方法对基于模型的网络控制系统(Model-Based NetWorked Control System,MB-NCS)进行了研究.将基于模型的网络控制系统建模为一类脉冲切换系统;利用脉冲切换控制的平均驻留时间方法给出了使此脉冲切换系统指数稳定的充分条件;借助Lyapunov稳定性理论和线性矩阵不等式方法设计了使此脉冲切换系统稳定的控制器,并且通过仿真验证了所提出的方法的有效性.
