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For the hazard of single column pier girder bridge lateral overturning, this paper based on the bridge dynamics modeling and simulation, studied the physical characteristics of bridge lateral vibration under differently conditions of bridge length, vehicle off-center distance and multi variable load driving respectively, then considering random disturbance load driving the loading bridge’s pulse and step acting simulations were given out with differently cases. Furthermore, the single column pier bridge lateral overturning process was equivalent the bridge box girder rigid body rotating process under the lateral vibration, then obtained the synthetical effects of the lateral vibration and its harmful period characteristics with differently bridge length variable load and vehicle speed, respectively. Lastly, the qualitative analysis was given for bridge lateral overturning conditions under variable load driving.

Observing and estimating system's states are the conditions to realize the effective control in the control and communication engineering field. In this paper for nonlinear descriptor jumping systems, proposed a novel observer, considered the nonlinear perturbation and network communication time-varying delay. A novel full-order delay dependent observer design method is developed by using system stability theorem and linear matrix inequalities (LMIs) techniques. The observer guarantees the estimated descriptor error jumping systems to be regular, impulse free and robustly mean-square exponentially stable. The proposed novel observer is more generality than those of last results in practice. Finally, two numerical examples are provided to simulate and show the validity of the proposed method.

This paper is devoted to the controller design based on a fault-tolerant observer for a class of nonlinear continuous singular control systems, consider the sensor failure and time-varying network-induced delay, a new controller and observer co-designing technique are developed, a sufficient condition for the existence of the investiged controller and fault-tolerant observer is derived, and a systematic design approach is addressed by using Lyapunov-Krasovskii function and linear matrix inequalities (LMIs) for controller and observer co-designing. Finally, a numerical example is provided to show the validity of the proposed method.