Fault Tolerant Vibration-Attenuation Controller Design for Uncertain Linear Structural Systems with Input Time-Delay and Saturation

Abstract

Abstract. The problem of fault tolerant vibration-attenuation controller design for uncertain linear structural systems with control input time-delay and saturation is investigated in this paper. The objective of designing controllers is to guarantee the asymptotic stability of closed-loop systems while attenuate disturbance from earthquake excitation. Firstly, based on matrix transformation, the structural system is described as state-space model, which contains actuator fault, input signal time-delay and saturation at the same time. Based on the obtained model, an LMIs-based condition for the system to be stabilizable is deduced. By solving these LMIs, the controller is established for the closed-loop system to be stable with a prescribed level of disturbance attenuation. The condition is also extended to the uncertain case. Finally, an example is included to demonstrate the effectiveness of the proposed theorems.

Acceleration-Based Vibration Control for Structural Systems with Actuator Faults and Finite-Time State Constraint

“…Consider the structural system with n =3. Firstly, we consider the system without uncertainties, and it has the following parameters: m i =1000 kg , kˆi =980 kN / m and cˆi =1.407 kNs / m ( i =1,2,3) [4]. Then, the state space equation (2) has the following system matrices:…”

“…As more and more high-rising buildings are built, the status of active control for seismic-excited or wind-excited buildings becomes more and more significant, and through the efforts of many scholars, lots of control strategies have been developed and utilized in the buildings structural control. For example,control [1][2][3][4], equivalent-inputdisturbance approach [5], Finite frequency control [6], fuzzy control [7][8], neural networks [9][10], energy-to-peak control [11][12][13], sliding mode control [14][15], adaptive control [16], etc., have been developed to attenuate the vibration excited by earthquake or wind. Furthermore, accompanied with the development of active vibration control techniques, some active control devices were designed for applying those control algorithms, such as, active mass damper (AMD) [17], active brace system (ABS) [18], electro-hydraulic servo system [19,20], etc.…”

Finite-Time Vibration-Attenuation Controller Design for Structural Systems with Parameter Uncertainties

“…The system under consideration is depicted in Figure 1. The linear structural model equation can be written with [1][2][3][4][5][6][7][8] …”

Finite-Time Vibration Control of Earthquake Excited Linear Structures with Input Time-Delay and Saturation

“…Based on LMI technique, the problem of robust active vibration control for a class of electro-hydraulic actuated structural systems with time delay in the control input channel and parameter uncertainties appearing in all the mass, damping and stiffness matrices was investigated in [33]. By considering the actuator saturation and control input time-delay, the active vibration control for a class of earthquake-excited structural systems was presented in [27,28]. For more results about the saturation and time-delay, the readers can refer to [8][9]26] and those references therein.…”