Stability of a class of switched positive linear time‐delay systems

This paper addresses the problem of stability for a class of switched positive linear time‐delay systems. As first attempt, the Lyapunov–Krasovskii functional is extended to the multiple co‐positive type Lyapunov–Krasovskii functional for the stability analysis of the switched positive linear systems with constant time delay. A sufficient stability criterion is proposed for the underlying system under average dwell time switching. Subsequently, the stability result for system under arbitrary switching is presented by reducing multiple co‐positive type Lyapunov–Krasovskii functional to the common co‐positive type Lyapunov–Krasovskii functional. A numerical example is given to show the potential of the proposed techniques. Copyright © 2012 John Wiley & Sons, Ltd.     

Stochastic stability and robust stabilization of semi‐Markov jump linear systems

The semi‐Markov jump linear system (S‐MJLS) is more general than the Markov jump linear system (MJLS) in modeling some practical systems. Unlike the constant transition rates in the MJLS, the transition rates of the S‐MJLS are time varying. This paper focuses on the robust stochastic stability condition and the robust control design problem for the S‐MJLS with norm‐bounded uncertainties. The infinitesimal generator for the constructed Lyapunov function is first derived. Numerically solvable sufficient conditions for the stochastic stability of S‐MJLSs are then established in terms of linear matrix inequalities. To reduce the conservativeness of the stability conditions, we propose to incorporate the upper and lower bounds of the transition rate and meanwhile apply a new partition scheme. The robust state feedback controller is accordingly developed. Simulation studies and comparisons demonstrate the effectiveness and advantages of the proposed methods. Copyright © 2012 John Wiley & Sons, Ltd.     

On input‐to‐state stability‐based design for leader/follower formation control with measurement delays

This paper addresses the design of low‐level controllers for leader–follower formations of nonholonomic vehicles in the presence of bounded measurement delays. The concept of input‐to‐state stability is extended to encompass the effect of bounded delays and restrictions on the input. A method is proposed to integrate a Smith predictor in a backstepping design on the basis of nested saturations and nonlinear small‐gain assignment, which allows for time delays in the feedback loop. Robustness analysis under uncertain bounded time delays is provided, and design tradeoffs resulting from the use of bounded controls are discussed. Illustrative simulations are shown to validate the design and robustness analysis in the context of a simple leader–follower trailing control problem. Copyright © 2012 John Wiley & Sons, Ltd.     

Observer-based adaptive fuzzy control for a class of nonlinear time-delay systems

An observer-based adaptive fuzzy control is presented for a class of nonlinear systems with unknown time delays. The state observer is first designed, and then the controller is designed via the adaptive fuzzy control method based on the observed states. Both the designed observer and controller are independent of time delays. Using an appropriate Lyapunov-Krasovskii functional, the uncertainty of the unknown time delay is compensated, and then the fuzzy logic system in Mamdani type is utilized to approximate the unknown nonlinear functions. Based on the Lyapunov stability theory, the constructed observer-based controller and the closed-loop system are proved to be asymptotically stable. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is to be updated on-line. Simulation results are presented to demonstrate the effectiveness of the proposed approach.     

Delay dependent robust stability of singular systems with additive time-varying delays

This paper considers the problem of delay-dependent robust stability for uncertain singular systems with additive time-varying delays. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties. The results are expressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.     

天花板拱坝坝肩稳定分析及处理措施研究

采用刚体极限平衡法和有限元方法对天花板碾压混凝土拱坝进行了坝肩稳定分析,以抗滑稳定安全系数对坝肩稳定进行评价和研究,分析坝体在各种工况下的稳定性.针对坝肩安全储备相对不高,有针对性地采取了稳定处理措施,提高了坝肩的整体性和安全性.     

积石峡水电站导流洞交叉段水平层状岩体稳定数值仿真分析

积石峡水电站导流洞及中孔泄洪洞交叉段设计体形复杂,且顶拱上方有一3～10 cm厚的软弱夹层穿过,围岩整体稳定性差,安全问题突出。为确保交叉段顺利贯通及施工安全,拟定了5种开挖和支护方案,采用数值仿真分析系统分析比较了不同开挖和支护方案下施工期围岩和支护的稳定性,确定了交叉段的开挖方式和支护技术措施,经实际应用,效果良好。     

盖下坝水电站拱坝人工垫座优化设计

盖下坝水电站坝址河谷为狭窄的"V"形河谷,为此在拱坝坝基河谷设置了人工垫座.技施设计阶段根据实际开挖揭露的岩面线和岩石情况,对垫座结构尺寸及开挖形式作了适当调整.采用有限元法和刚体极限平衡法对垫座稳定及应力进行分析,结构调整后垫座的稳定和应力满足规范要求,对坝体应力没有不利影响.     

多出水口蓄水池的三维数值模拟

本文运用FLUENT软件对不规则蓄水池在3种不同流量下的水流流场进行了数值模拟,得出 不同流量下流场中不同点沿水深方向的流速分布,并将数值计算结果与物理模型实验结果进行比较, 发现两者比较吻合。表明:FLUENT软件模拟不规则蓄水池水流流场是基本可行的。     

大伙房输水工程取水头部竖井高边坡稳定分析 与加固处理方法

主要介绍了大伙房输水(二期)工程,取水头部竖井开挖过程中,针对实际地质状况,对高边坡 稳定性进行详细分析,采取了灌浆、支护等加固处理措施,边坡稳定监测结果表明,加固效果较好。