在控制系统中,时间延迟的不确定性往往会影响控制策略的准确性.为了进一步分析时间延迟对系统性能的影响,该文在传统RMPC(Robust Model based Predictive Control)的基础上引入了不确定时间延迟,分析了不确定时间延迟下系统的保代价区域...在控制系统中,时间延迟的不确定性往往会影响控制策略的准确性.为了进一步分析时间延迟对系统性能的影响,该文在传统RMPC(Robust Model based Predictive Control)的基础上引入了不确定时间延迟,分析了不确定时间延迟下系统的保代价区域.首先,介绍了线性矩阵不等式约束下的RMPC,并分析了相应的保代价区域.接下来,在RMPC中引入不确定时间延迟,通过对系统状态空间进行放大,使其包含了更多的历史状态信息.最后,依据最大时间延迟分析了不确定性对控制系统性能的影响,并分析了相应的保代价区域.仿真实验表明,控制系统的保代价区域随着时间延迟的增加而逐渐减小,并且时间延迟的不确定性范围越大系统的保代价区域越小.展开更多
A robust model predictive control (MPC) algorithm for discrete time linear systems with time-delay (RPC-TDS) subjected to constrained input control is presented, where the polytopic uncertainties exist in state matric...A robust model predictive control (MPC) algorithm for discrete time linear systems with time-delay (RPC-TDS) subjected to constrained input control is presented, where the polytopic uncertainties exist in state matrices and input matrices. In the algorithm the standard optimization of quadratic objective function has been transformed into optimization of sum of N+1 upper bounds of the quadratic objective function with respect to N control moves and a state feedback control law, where N is the control horizon. The feasibility of the optimization problem guarantees that the algorithm is robustly stable. The simulation results verify the effectiveness of the proposed algorithm.展开更多
This paper offeres an exact study on the robust stability of a kind of combined integrating control system, and the robust stability belongs to the analysis of a kind of quasi-polynomial with two independent time dela...This paper offeres an exact study on the robust stability of a kind of combined integrating control system, and the robust stability belongs to the analysis of a kind of quasi-polynomial with two independent time delays. The parameters of stable space under time delay uncertainty are fixed after Rekasius transformation, and then a new cluster treatment of characteristic roots (CTCR) procedure is adopted to determine the stable space. By this strategy we find that the unstable space is not continuous and both Karitonov vertices theory and Edge theory are unable to be extended to quasi-polynomial under time delay uncertainty.展开更多
This paper is concerned with the problem of robust H∞ filtering for linear discrete-time systems with multiple state delays and polytopic uncertain parameters. Attention is focused on the design of full-order, reduce...This paper is concerned with the problem of robust H∞ filtering for linear discrete-time systems with multiple state delays and polytopic uncertain parameters. Attention is focused on the design of full-order, reduced-order and zeroth-order robust H∞ filters on the basis of a recently published parameter-dependent Lyapunov stability result. Sufficient conditions for the existence of such filters are formulated in terms of linear matrix inequalities, upon which admissible filters can be obtained from convex optimization problems. The proposed methodology has been shown, via a numerical example, to be much less conservative than previous filter design methods in the quadratic framework.展开更多
文摘在控制系统中,时间延迟的不确定性往往会影响控制策略的准确性.为了进一步分析时间延迟对系统性能的影响,该文在传统RMPC(Robust Model based Predictive Control)的基础上引入了不确定时间延迟,分析了不确定时间延迟下系统的保代价区域.首先,介绍了线性矩阵不等式约束下的RMPC,并分析了相应的保代价区域.接下来,在RMPC中引入不确定时间延迟,通过对系统状态空间进行放大,使其包含了更多的历史状态信息.最后,依据最大时间延迟分析了不确定性对控制系统性能的影响,并分析了相应的保代价区域.仿真实验表明,控制系统的保代价区域随着时间延迟的增加而逐渐减小,并且时间延迟的不确定性范围越大系统的保代价区域越小.
基金The project is supported by the National High Technology Research and Development (863) Programof China (2002AA412010)
文摘A robust model predictive control (MPC) algorithm for discrete time linear systems with time-delay (RPC-TDS) subjected to constrained input control is presented, where the polytopic uncertainties exist in state matrices and input matrices. In the algorithm the standard optimization of quadratic objective function has been transformed into optimization of sum of N+1 upper bounds of the quadratic objective function with respect to N control moves and a state feedback control law, where N is the control horizon. The feasibility of the optimization problem guarantees that the algorithm is robustly stable. The simulation results verify the effectiveness of the proposed algorithm.
基金National Natural Science Foundation of China (No.60674088)
文摘This paper offeres an exact study on the robust stability of a kind of combined integrating control system, and the robust stability belongs to the analysis of a kind of quasi-polynomial with two independent time delays. The parameters of stable space under time delay uncertainty are fixed after Rekasius transformation, and then a new cluster treatment of characteristic roots (CTCR) procedure is adopted to determine the stable space. By this strategy we find that the unstable space is not continuous and both Karitonov vertices theory and Edge theory are unable to be extended to quasi-polynomial under time delay uncertainty.
文摘This paper is concerned with the problem of robust H∞ filtering for linear discrete-time systems with multiple state delays and polytopic uncertain parameters. Attention is focused on the design of full-order, reduced-order and zeroth-order robust H∞ filters on the basis of a recently published parameter-dependent Lyapunov stability result. Sufficient conditions for the existence of such filters are formulated in terms of linear matrix inequalities, upon which admissible filters can be obtained from convex optimization problems. The proposed methodology has been shown, via a numerical example, to be much less conservative than previous filter design methods in the quadratic framework.
