This paper proposes a tube-based method for the asynchronous observation problem of discrete-time switched linear systems in the presence of amplitude-bounded disturbances.Sufficient stability conditions of the nomina...This paper proposes a tube-based method for the asynchronous observation problem of discrete-time switched linear systems in the presence of amplitude-bounded disturbances.Sufficient stability conditions of the nominal observer error system under mode-dependent persistent dwell-time(MPDT)switching are first established. Taking the disturbances into account, a novel asynchronous MPDT robust positive invariant(RPI) set and an asynchronous MPDT generalized RPI(GRPI)set are determined for the difference system between the nominal and disturbed observer error systems. Further, the global uniform asymptotical stability of the observer error system is established in the sense of converging to the asynchronous MPDT GRPI set, i.e., the cross section of the tube of the observer error system. Finally, the proposed results are validated on a space robot manipulator example.展开更多
In this paper, the H∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell-time(MPDT) switching. The redundant channels are considered to use in the data tr...In this paper, the H∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell-time(MPDT) switching. The redundant channels are considered to use in the data transmission to benefit the capability of overcoming the fragility of networks commonly configured by a single channel in the communication networks subject to random packet losses. In light of a new class of Lyapunov functions, the desired observer-based quasi-time-dependent controllers, which have less conservatism than the time-independent ones, are designed such that the resulting closed-loop system is exponentially mean-square stable with a guaranteed H_∞ disturbance attenuation performance. The MPDT can be minimized while ensuring the existence of such a class of observer-based controllers for a given period of persistence. An example of DC-DC boost converter is provided to verify the effectiveness of theoretical findings.展开更多
针对状态不完全可测的多智能体系统,研究持续异步拒绝服务(Denial of Service,DoS)攻击下基于观测器的安全一致性控制问题.基于切换理论,将受到攻击的多智能体系统建模为满足持续驻留时间的切换系统.攻击睡眠阶段被认为是τ部分,其中通...针对状态不完全可测的多智能体系统,研究持续异步拒绝服务(Denial of Service,DoS)攻击下基于观测器的安全一致性控制问题.基于切换理论,将受到攻击的多智能体系统建模为满足持续驻留时间的切换系统.攻击睡眠阶段被认为是τ部分,其中通信网络中的领导者是全局可达的.攻击激活阶段看作T部分,持续有效的拒绝服务攻击能够破坏原始通讯网络的连通性.通过构造模型依赖Lyapunov函数并求解线性矩阵不等式,获得控制器和观测器增益以实现一致性跟踪.最后,仿真结果验证了所提方法的有效性.展开更多
基金supported in part by the National Defense Basic Scientific Research Program of China(JCKY2018603C015)Cultivation Plan of Major Research Program of Harbin Institute of Technology(ZDXMPY20180101)
文摘This paper proposes a tube-based method for the asynchronous observation problem of discrete-time switched linear systems in the presence of amplitude-bounded disturbances.Sufficient stability conditions of the nominal observer error system under mode-dependent persistent dwell-time(MPDT)switching are first established. Taking the disturbances into account, a novel asynchronous MPDT robust positive invariant(RPI) set and an asynchronous MPDT generalized RPI(GRPI)set are determined for the difference system between the nominal and disturbed observer error systems. Further, the global uniform asymptotical stability of the observer error system is established in the sense of converging to the asynchronous MPDT GRPI set, i.e., the cross section of the tube of the observer error system. Finally, the proposed results are validated on a space robot manipulator example.
基金supported by the National Natural Science Foundation of China(Grant No.61322301)the Natural Science Foundation of Heilongjiang(Grant Nos.F201417&JC2015015)+1 种基金the Fundamental Research Funds for the Central UniversitiesChina(Grant Nos.HIT.BRETIII.201211&HIT.BRETIV.201306)
文摘In this paper, the H∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell-time(MPDT) switching. The redundant channels are considered to use in the data transmission to benefit the capability of overcoming the fragility of networks commonly configured by a single channel in the communication networks subject to random packet losses. In light of a new class of Lyapunov functions, the desired observer-based quasi-time-dependent controllers, which have less conservatism than the time-independent ones, are designed such that the resulting closed-loop system is exponentially mean-square stable with a guaranteed H_∞ disturbance attenuation performance. The MPDT can be minimized while ensuring the existence of such a class of observer-based controllers for a given period of persistence. An example of DC-DC boost converter is provided to verify the effectiveness of theoretical findings.
文摘针对状态不完全可测的多智能体系统,研究持续异步拒绝服务(Denial of Service,DoS)攻击下基于观测器的安全一致性控制问题.基于切换理论,将受到攻击的多智能体系统建模为满足持续驻留时间的切换系统.攻击睡眠阶段被认为是τ部分,其中通信网络中的领导者是全局可达的.攻击激活阶段看作T部分,持续有效的拒绝服务攻击能够破坏原始通讯网络的连通性.通过构造模型依赖Lyapunov函数并求解线性矩阵不等式,获得控制器和观测器增益以实现一致性跟踪.最后,仿真结果验证了所提方法的有效性.
