Set stabilization is one of the essential problems in engineering systems, and self-triggered control(STC) can save the storage space for interactive information, and can be successfully applied in networked control s...Set stabilization is one of the essential problems in engineering systems, and self-triggered control(STC) can save the storage space for interactive information, and can be successfully applied in networked control systems with limited communication resources. In this study, the set stabilization problem and STC design of Boolean control networks are investigated via the semi-tensor product technique. On the one hand, the largest control invariant subset is calculated in terms of the strongly connected components of the state transition graph, by which a graph-theoretical condition for set stabilization is derived. On the other hand, a characteristic function is exploited to determine the triggering mechanism and feasible controls. Based on this, the minimum-time and minimum-triggering open-loop, state-feedback and output-feedback STCs for set stabilization are designed,respectively. As classic applications of self-triggered set stabilization, self-triggered synchronization, self-triggered output tracking and self-triggered output regulation are discussed as well. Additionally, several practical examples are given to illustrate the effectiveness of theoretical results.展开更多
Using semi-tensor product of matrices, the controllability and stabilizability of finite automata are investigated. By expressing the states, inputs, and outputs in vector forms, the transition and output functions ar...Using semi-tensor product of matrices, the controllability and stabilizability of finite automata are investigated. By expressing the states, inputs, and outputs in vector forms, the transition and output functions are represented in matrix forms.Based on this algebraic description, a necessary and sufficient condition is proposed for checking whether a state is controllable to another one. By this condition, an algorithm is established to find all the control sequences of an arbitrary length. Moreover, the stabilizability of finite automata is considered, and a necessary and sufficient condition is presented to examine whether some states can be stabilized. Finally, the study of illustrative examples verifies the correctness of the presented results/algorithms.展开更多
针对车辆主动悬架系统的线性二次型调节器(linear quadratic regulator,LQR)在设定权重系数矩阵Q和R时具有主观性、效率低的缺点,提出一种基于蛇算法(snake optimizer,SO)优化LQR控制器权重系数矩阵的策略。通过对1/4车辆主动悬架系统...针对车辆主动悬架系统的线性二次型调节器(linear quadratic regulator,LQR)在设定权重系数矩阵Q和R时具有主观性、效率低的缺点,提出一种基于蛇算法(snake optimizer,SO)优化LQR控制器权重系数矩阵的策略。通过对1/4车辆主动悬架系统的动力学分析,设计了LQR控制器;将主动悬架与被动悬架各性能指标的积分比值进行加权求和构建了目标函数L;模仿蛇群生活习性的SO算法在搜索空间中求解出了函数L的最小值和LQR控制器的最优权重系数矩阵。为验证该策略的有效性,分别以C级路面、正弦冲击路面为激励,对车身加速度(sprung mass acceleration,SMA)、轮胎动载荷(dynamic tyre load,DTL)、悬架动行程(suspension working space,SWS)3个方面将SO优化LQR控制的主动悬架与被动悬架、传统LQR控制的主动悬架、遗传算法优化LQR控制的主动悬架、粒子群算法优化LQR控制的主动悬架进行了仿真对比。结果表明:SO优化LQR控制的主动悬架可在C级路面上分别对SMA、DTL、SWS的均方根优化达59.47%、37.89%、42.12%;在正弦冲击路面上稳定时间为1.4 s,分别对SMA、DTL、SWS的超调优化达79.21%、59.22%、16.33%,提升了车辆的行驶平顺性、路面附着性和操作安全性。展开更多
In today's aircraft,the hardware redundancy is driven by the critical surfaces resulting in single point-failures.Reconfiguration technology remoVes the single surface criticality by employing control surfaces wit...In today's aircraft,the hardware redundancy is driven by the critical surfaces resulting in single point-failures.Reconfiguration technology remoVes the single surface criticality by employing control surfaces with aerodynamic redundancy.This paper studies a control reconfiguration scheme based on Control Mixer Concept.A technique for the design of a control mixer for an aircraft with damaged surfaces/actuators using the pseudo-inverse is developed and applied.This paper discusses its applications and limitations based on linear analysis and computer simulation.展开更多
A new method of modeling discrete networked control systems with both the time-varying delay and packet loss was presented in this paper.The network-induced delay is time-varying and it can be smaller or larger than o...A new method of modeling discrete networked control systems with both the time-varying delay and packet loss was presented in this paper.The network-induced delay is time-varying and it can be smaller or larger than one sampling period.The feedback controller was designed by free-weighting matrices method and Lyapunov-Krasovskii functional to make the networked control system asymptotically stable.And sufficient conditions were derived.A numerical example is given to illustrate the effectiveness of the proposed approach.展开更多
In this paper,the problem of controllability of Boolean control networks(BCNs)with multiple time delays in both states and controls is investigated.First,the controllability problem of BCNs with multiple time delays i...In this paper,the problem of controllability of Boolean control networks(BCNs)with multiple time delays in both states and controls is investigated.First,the controllability problem of BCNs with multiple time delays in controls is considered.For this controllability problem,a controllability matrix is constructed by defining a new product of matrices,based on which a necessary and sufficient controllability condition is obtained.Then,the controllability of BCNs with multiple time delays in states is studied by giving a necessary and sufficient condition.Subsequently,based on these results,a controllability matrix for BCNs with multiple time delays in both states and controls is proposed that provides a concise controllability condition.Finally,two examples are given to illustrate the main results.展开更多
主要从图的角度研究了布尔控制网络(Boolean Control Network,BCN)可重构的条件。首先,从状态可区分的角度给出了BCN可重构的定义,为后续从状态转移图的角度来研究可重构问题奠定了基础。其次,给出了BCN中完美顶点划分的概念及其相关推...主要从图的角度研究了布尔控制网络(Boolean Control Network,BCN)可重构的条件。首先,从状态可区分的角度给出了BCN可重构的定义,为后续从状态转移图的角度来研究可重构问题奠定了基础。其次,给出了BCN中完美顶点划分的概念及其相关推论。随后,提出了可重构的一些充分和必要的条件。其中一个结果表明,当处理大型逻辑网络系统时,只需要考虑更少的节点来避免维数诅咒。最后,通过一个具体的生物学实例和一个具体的例子说明所得到的结果。展开更多
基金supported by the National Natural Science Foundation of China (62273201,62173209,72134004,62303170)the Research Fund for the Taishan Scholar Project of Shandong Province of China (TSTP20221103)。
文摘Set stabilization is one of the essential problems in engineering systems, and self-triggered control(STC) can save the storage space for interactive information, and can be successfully applied in networked control systems with limited communication resources. In this study, the set stabilization problem and STC design of Boolean control networks are investigated via the semi-tensor product technique. On the one hand, the largest control invariant subset is calculated in terms of the strongly connected components of the state transition graph, by which a graph-theoretical condition for set stabilization is derived. On the other hand, a characteristic function is exploited to determine the triggering mechanism and feasible controls. Based on this, the minimum-time and minimum-triggering open-loop, state-feedback and output-feedback STCs for set stabilization are designed,respectively. As classic applications of self-triggered set stabilization, self-triggered synchronization, self-triggered output tracking and self-triggered output regulation are discussed as well. Additionally, several practical examples are given to illustrate the effectiveness of theoretical results.
基金supported by the National Natural Science Foundation of China(61174094)the Tianjin Natural Science Foundation of China(13JCYBJC1740014JCYBJC18700)
文摘Using semi-tensor product of matrices, the controllability and stabilizability of finite automata are investigated. By expressing the states, inputs, and outputs in vector forms, the transition and output functions are represented in matrix forms.Based on this algebraic description, a necessary and sufficient condition is proposed for checking whether a state is controllable to another one. By this condition, an algorithm is established to find all the control sequences of an arbitrary length. Moreover, the stabilizability of finite automata is considered, and a necessary and sufficient condition is presented to examine whether some states can be stabilized. Finally, the study of illustrative examples verifies the correctness of the presented results/algorithms.
文摘针对车辆主动悬架系统的线性二次型调节器(linear quadratic regulator,LQR)在设定权重系数矩阵Q和R时具有主观性、效率低的缺点,提出一种基于蛇算法(snake optimizer,SO)优化LQR控制器权重系数矩阵的策略。通过对1/4车辆主动悬架系统的动力学分析,设计了LQR控制器;将主动悬架与被动悬架各性能指标的积分比值进行加权求和构建了目标函数L;模仿蛇群生活习性的SO算法在搜索空间中求解出了函数L的最小值和LQR控制器的最优权重系数矩阵。为验证该策略的有效性,分别以C级路面、正弦冲击路面为激励,对车身加速度(sprung mass acceleration,SMA)、轮胎动载荷(dynamic tyre load,DTL)、悬架动行程(suspension working space,SWS)3个方面将SO优化LQR控制的主动悬架与被动悬架、传统LQR控制的主动悬架、遗传算法优化LQR控制的主动悬架、粒子群算法优化LQR控制的主动悬架进行了仿真对比。结果表明:SO优化LQR控制的主动悬架可在C级路面上分别对SMA、DTL、SWS的均方根优化达59.47%、37.89%、42.12%;在正弦冲击路面上稳定时间为1.4 s,分别对SMA、DTL、SWS的超调优化达79.21%、59.22%、16.33%,提升了车辆的行驶平顺性、路面附着性和操作安全性。
文摘In today's aircraft,the hardware redundancy is driven by the critical surfaces resulting in single point-failures.Reconfiguration technology remoVes the single surface criticality by employing control surfaces with aerodynamic redundancy.This paper studies a control reconfiguration scheme based on Control Mixer Concept.A technique for the design of a control mixer for an aircraft with damaged surfaces/actuators using the pseudo-inverse is developed and applied.This paper discusses its applications and limitations based on linear analysis and computer simulation.
基金National Natural Science Foundation of China(No.70701012)Youth Science and Technology Special Fund of Heilongjiang Province of China(No.QC07C15)
文摘A new method of modeling discrete networked control systems with both the time-varying delay and packet loss was presented in this paper.The network-induced delay is time-varying and it can be smaller or larger than one sampling period.The feedback controller was designed by free-weighting matrices method and Lyapunov-Krasovskii functional to make the networked control system asymptotically stable.And sufficient conditions were derived.A numerical example is given to illustrate the effectiveness of the proposed approach.
基金supported by the Natural Science Foundation of Chongqing,China(No.CSTB2022NSCQ-MSX2869)the Science and Technology Research Program of Chongqing Municipal Education Commission,China(No.KJQN202200524)+1 种基金the Research Project of National Center for Applied Mathematics in Chongqing,China(No.ncamc2022-msxm05)the Program of Chongqing Normal University,China(No.21XLB045)。
文摘In this paper,the problem of controllability of Boolean control networks(BCNs)with multiple time delays in both states and controls is investigated.First,the controllability problem of BCNs with multiple time delays in controls is considered.For this controllability problem,a controllability matrix is constructed by defining a new product of matrices,based on which a necessary and sufficient controllability condition is obtained.Then,the controllability of BCNs with multiple time delays in states is studied by giving a necessary and sufficient condition.Subsequently,based on these results,a controllability matrix for BCNs with multiple time delays in both states and controls is proposed that provides a concise controllability condition.Finally,two examples are given to illustrate the main results.
文摘主要从图的角度研究了布尔控制网络(Boolean Control Network,BCN)可重构的条件。首先,从状态可区分的角度给出了BCN可重构的定义,为后续从状态转移图的角度来研究可重构问题奠定了基础。其次,给出了BCN中完美顶点划分的概念及其相关推论。随后,提出了可重构的一些充分和必要的条件。其中一个结果表明,当处理大型逻辑网络系统时,只需要考虑更少的节点来避免维数诅咒。最后,通过一个具体的生物学实例和一个具体的例子说明所得到的结果。
