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Robust Exponential Stability criteria of Uncertain Stochastic Systems with Time-varying Delays Li, Yumei ; ; in International Journal of Systems Science (2011), 42(4), 601-608 This paper investigates the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with structured uncertainties and time-varying delays. By applying ... [more ▼] This paper investigates the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with structured uncertainties and time-varying delays. By applying descriptor model transformation of the systems, a new type of Lyapunov-Krasovskii functional is constructed, and by introducing some free weighting matrices, some new delay-dependent and delay-independent stability criteria are respectively derived in terms of LMI algorithm. the new stability criteria are less conservative than existing results. Numerical examples demonstrate the new criteria are effective and are an improvement over existing results. [less ▲] Detailed reference viewed: 65 (3 UL)Unbiased H∞ Infinite Filtering for Stochastic Systems with Data Packet Losses Li, Yumei ; ; in Advanced Materials Research (2011), 204-210 This paper presents the unbiased H∞ filter design for stochastic systems with data packet losses. By constructing unbiased filter, the complexity and computational burden of the real-time filtering ... [more ▼] This paper presents the unbiased H∞ filter design for stochastic systems with data packet losses. By constructing unbiased filter, the complexity and computational burden of the real-time filtering process are reduced greatly. Delay-dependent sufficient conditions for stochastic system with data packet losses are proposed in terms of linear matrix inequalities (LMIs). Numerical example demonstrates the proposed approaches are effective. [less ▲] Detailed reference viewed: 72 (8 UL)Nonlinear Protocols for Output Performance Value Consensus of Multi-Agent Systems Li, Yumei ; ; in The 30th Chinese Control Conference (2011) This paper investigates output performance value consensus issue, which is a new necessarily considered issue for cooperative and coordinate control of multi-agent systems with fixed topology. Based on ... [more ▼] This paper investigates output performance value consensus issue, which is a new necessarily considered issue for cooperative and coordinate control of multi-agent systems with fixed topology. Based on Lyapunov theory, this paper presents nonlinear protocols for output performance value consensus of systems and proves the asymptotic consensus is reachable. Simulation example shows the nonlinear protocols are effective for output performance value consensus of multi-agent systems [less ▲] Detailed reference viewed: 44 (3 UL)Delay-dependent robust H∞ filtering for linear stochastic systems with uncertainties Li, Yumei ; ; in Chinese Journal of Systems Engineering and Electronics (2010), 32(1), 152-157 This paper investigates the robustH∞ filtering problem for continuous –time linear stochastic systems with time-vary state delay and parameter uncertainty. The aim is to design a linear filter such that ... [more ▼] This paper investigates the robustH∞ filtering problem for continuous –time linear stochastic systems with time-vary state delay and parameter uncertainty. The aim is to design a linear filter such that the filtering error dynamics system is exponentially stable in mean square and assuring a prescribedH∞ performance level .Applying the descriptor model transformation, construct a new Lyapunov-Krasovskii functional . By introducing some free weighting matrices, avoiding any product term of Lyapunov matrices and system matrices，so it is not necessary for system matrices to do any constraint in the process of the design of filters, to a great extent , which make the design of filters have less conservative. For system without uncertainty and with uncertainty case, to guarantee the existence of desired robust H∞ filters, sufficient conditions are proposed respectively in terms of linear matrix inequalities (LMIs), The results obtained are less conservative than existing ones. Numerical examples demonstrate the proposed approaches are effective and are an improvement over previous ones. [less ▲] Detailed reference viewed: 43 (1 UL)Delay-dependent exponential stability criteria for stochastic systems with polytopic-type uncertainties Li, Yumei ; ; et al in Journal of Control Theory and Applications (2009), 7(3), 291-296 This paper considers the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with polytopic-type uncertainties and time-varying delay. Based on ... [more ▼] This paper considers the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with polytopic-type uncertainties and time-varying delay. Based on linear matrix inequalities (LMIs), applying the descriptor model transformation and introducing free weighting matrices, a new type of Lyapunov-Krasovskii functional is constructed and some new delay-dependent and delay-independent exponential stability criteria are respectively obtained. The results include the delay-independent/rate-dependent and delay-dependent/rate-independent exponential stability criteria. The new criteria are less conservative than existing ones. Numerical examples demonstrate the new criteria are effective and are an improvement over existing ones. [less ▲] Detailed reference viewed: 82 (2 UL)Unbiased H∞ filtering for a class of stochastic systems with time-varying delay Li, Yumei ; ; in The 21st annual international conference on Chinese control and decision conference (2009) This paper presents the unbiased H∞ filter design for a class of stochastic systems with time-varying delay. The aim is to design an unbiased filter assuring exponential stability in mean square and a ... [more ▼] This paper presents the unbiased H∞ filter design for a class of stochastic systems with time-varying delay. The aim is to design an unbiased filter assuring exponential stability in mean square and a prescribed H∞ performance level for the filtering error system. Based on the application of the descriptor model transformation and free weighting matrices, delay-dependent sufficient conditions for stochastic systems with time-varying delay are proposed respectively in terms of linear matrix inequalities(LMIs). Numerical examples demonstrate the proposed approaches are effective and are an improvement over existing methods. [less ▲] Detailed reference viewed: 21 (0 UL)Nonlinear consensus protocols for multi-agent systems based on centre manifold reduction Li, Yumei ; in Chinese Physics B (2009), 18(8), 3355-3366 This paper investigates nonlinear consensus protocols for dynamic directed networks of multiagent systems with fixed and switching topology, respectively. Based on center manifold reduction technic ... [more ▼] This paper investigates nonlinear consensus protocols for dynamic directed networks of multiagent systems with fixed and switching topology, respectively. Based on center manifold reduction technic, nonlinear consensus protocols are presented. We prove a group of agents can reach a ¯¡consensus , which the group decision value varies from the minimum and the maximum values of the agents’ initial states. Moreover, we derive conditions to guarantee all agents reach a consensus on a desired group decision values. Finally, A simulation study concerning the vertical alignment maneuver of a team of unmanned air vehicles is performed. Simulation results show the nonlinear consensus protocols proposed are more effective than the linear protocols for the formation control of the agents and it is an improvement over existing protocols. [less ▲] Detailed reference viewed: 74 (2 UL)H∞ Filtering of 2-D FM LSS Model with State Delays ; ; Li, Yumei et al in The 27th Chinese Control Conference (2008) In this paper, we deal with H∞ filtering problem for a class of two-dimensional (2-D) discrete time-invariant systems with state delays described by local state-space (LSS) Fornasini-Marchesini (FM ... [more ▼] In this paper, we deal with H∞ filtering problem for a class of two-dimensional (2-D) discrete time-invariant systems with state delays described by local state-space (LSS) Fornasini-Marchesini (FM) second model. Based on the bounded real lemma of 2-D state-delayed systems, H∞ filtering design is developed, such that the filtering error system is asymptotically stable and has H∞ performance via LMIs’ feasibility. Furthermore, the minimum H∞ norm bound can be obtained by solving a linear objective optimization problem. A numerical example is given to demonstrate the effectiveness and advantage of our result. [less ▲] Detailed reference viewed: 39 (0 UL)H∞ filtering for stochastic time- delay systems Li, Yumei ; ; et al in The 7th World Congress on Intelligent Control and Automation (2008) This paper presents the robust H∞ filter design for stochastic systems with time-varying delay. The aim is to design a stable linear filter assuring exponential stability in mean-square and a prescribed ... [more ▼] This paper presents the robust H∞ filter design for stochastic systems with time-varying delay. The aim is to design a stable linear filter assuring exponential stability in mean-square and a prescribed H∞ performance level for the filtering error system. Based on the application of the descriptor model transformation and free weighting matrices, delaydependent sufficient conditions are respectively proposed in terms of linear matrix inequalities(LMIs). Numerical example demonstrates the proposed approaches are effective and are an improvement over existing ones. [less ▲] Detailed reference viewed: 34 (6 UL)参数不确定的非线性随机时滞系统的H∞滤波 Li, Yumei ; in Chinese Journal of Systems Engineering and Electronics (2008), 30(9), 1730-1734 This paper investigates a robust H∞ filtering problem for a class of nonlinear stochastic system with time-delay and parameter uncertainty. Assume the parameter uncertainty is norm-bounded and the system ... [more ▼] This paper investigates a robust H∞ filtering problem for a class of nonlinear stochastic system with time-delay and parameter uncertainty. Assume the parameter uncertainty is norm-bounded and the system dynamic is modeled by Ito-type stochastic differential equations. The aim of this work is to design a linear, delayless, uncertainties independent state estimator such that for all admissible uncertainties as well as exogenous disturbances, the dynamics of the estimation error is stochastically exponential stable in mean square and independent of the time-delay. For system with single delay and multiple delay case, sufficient conditions are proposed respectively to guarantee the existence of desired robust H∞ filters via linear matrix inequalities(LMI). Numerical example is presented to demonstrate the effectiveness of the proposed approachs. [less ▲] Detailed reference viewed: 45 (5 UL)Exponential Stability Criteria for Uncertain Stochastic Systems Li, Yumei ; ; et al in The 27th Chinese Control Conference (2008) This paper considers the problem of delay-dependent exponential stability in mean square for a class of stochastic systems with polytopic-type uncertainties and time-varying delay. Based on the ... [more ▼] This paper considers the problem of delay-dependent exponential stability in mean square for a class of stochastic systems with polytopic-type uncertainties and time-varying delay. Based on the application of the descriptor model transformation and free weighting matrices to express this relationship among the system variables and among the terms in the Newton-Leibniz formula, some new delay-dependent exponential stability criteria are obtained in terms of linear matrix inequalities(LMIs). The new criteria are less conservative than existing ones. Numerical examples demonstrate the new criteria are effective and are an improvement over existing ones. [less ▲] Detailed reference viewed: 50 (0 UL)Robust H∞ Filtering for a Class of Uncertain Nonlinear Stochastic Time-delay Systems Li, Yumei ; in Control Science and Engineering : Academic Forum of China PHD Students (2007) The paper investigates a robust H∞ filtering design problem for a class of uncertain nonlinear stochastic time-delay system with state and exogenous disturbance-dependent noise. Assume the parameter ... [more ▼] The paper investigates a robust H∞ filtering design problem for a class of uncertain nonlinear stochastic time-delay system with state and exogenous disturbance-dependent noise. Assume the parameter uncertainty is norm-bounded and the system dynamic is modeled by Ito-type stochastic differential equations. The aim of this work is to design a linear, delayless, uncertainties independent state estimator such that for all admissible uncertainties as well as exogenous disturbances, the dynamics of the estimation error is stochastically exponential stable in mean square and independent of the time-delay. Sufficient conditions are proposed to guarantee the existence of desired robust H∞ filtering via linear matrix inequalities (LMI). Numerical example is presented to demonstrate the effectiveness of the proposed approaches. [less ▲] Detailed reference viewed: 36 (3 UL) |
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