Time Delayed Negative Velocity Feedback Design for Active Control of Structures

2005 ◽  
Author(s):  
Phailaung Phohomsiri ◽  
Firdaus E. Udwadia
Keyword(s):  
Feedback Control ◽  
Active Control ◽  
Time Delays ◽  
Control Design ◽  
System Stability ◽  
Ground Acceleration ◽  
Velocity Feedback ◽  
Significant Time ◽  
Control Methodology ◽  
Delayed Control Systems

In this paper, we present velocity feedback control design with significant time delays for the active control of structures. Because of the presence of significant time delays, we study the infinite dimensionality of the system with time-delayed control and introduce the concept of the so-called non-system poles. Analytical results related to performance and stability analysis of the new control design are provided. The non-system poles are shown to influence both system stability and system performance and cannot therefore be ignored in time-delayed control systems. We then apply the time delayed negative velocity feedback control methodology to a single-degree-of-freedom system subjected to random ground acceleration. The numerical results show good stability characteristics and effective behavior of the proposed control methodology.

Time-Delayed Positive Velocity Feedback Control Design for Active Control of Structures

2006 ◽  
Vol 132 (6) ◽  
pp. 690-703 ◽  
Author(s):  
Phailaung Phohomsiri ◽  
Firdaus E. Udwadia ◽  
Hubertus F. von Bremen
Keyword(s):  
Feedback Control ◽  
Active Control ◽  
Control Design ◽  
Velocity Feedback

Active Control of a Circular Membrane to Reduce Transient Noise Transmission

1995 ◽  
Vol 117 (3A) ◽  
pp. 252-258 ◽  
Author(s):  
J. L. van Niekerk ◽  
B. H. Tongue
Keyword(s):  
Feedback Control ◽  
Active Control ◽  
Sliding Mode ◽  
Control Strategies ◽  
Circular Membrane ◽  
Velocity Feedback ◽  
Circular Duct ◽  
Control Approach ◽  
Noise Transmission

An active control approach that reduces transient noise transmission through a membrane in a circular duct is presented. Discrete sections of piezo-electrical film, PVDF, are used as actuators to adjust the tension of the membrane. Different control strategies, such as optimal, sliding mode and velocity feedback control, are investigated analytically and then implemented experimentally. It is shown that velocity feedback control is the more effective, stable controller for this application.

Active Control of Vibrations in Tall Structures Subjected to Earthquake and Wind Disturbances

2002 ◽  
Author(s):  
Kevin Kruck ◽  
A. G. Kelkar
Keyword(s):  
Active Control ◽  
Seismic Data ◽  
Closed Loop ◽  
Control Design ◽  
Building Structures ◽  
Building Structure ◽  
Imperial Valley ◽  
Tall Structures ◽  
Passivity Based Control ◽  
Control Methodology

This paper presents active control design methodologies for control of tall building structures subjected to earthquake and wind disturbances. In particular, a robust control methodology based on passivity-based design techniques is given and is compared with traditional optimal control design methods such as LQR and LQG. The controller designs are tested in simulation on a multi-storied building structure subjected to an earthquake disturbance using the actual seismic data from the famous 1940 El Centro earthquake of the Imperial Valley in southern California. The comparison of open- and closed-loop responses show the effectiveness of passivity-based control design over LQR and LQG designs.

Further results on output-feedback stabilization of stochastic upper-triangular systems with state and input time-delays

2017 ◽  
Vol 40 (7) ◽  
pp. 2408-2415 ◽  
Author(s):  
Liang Liu ◽  
Shengyuan Xu ◽  
Xuejun Xie ◽  
Bing Xiao
Keyword(s):  
Output Feedback ◽  
Time Delays ◽  
Delay System ◽  
Feedback Stabilization ◽  
System Stability ◽  
Output Feedback Stabilization ◽  
Triangular Systems ◽  
Reduced Order Observer ◽  
Input Time ◽  
Stochastic Time

Based on stochastic time-delay system stability criterion and a homogeneous domination approach, the output-feedback stabilization problem for a class of more general stochastic upper-triangular systems with state and input time-delays has been solved in this paper. Firstly, the initial system is changed into an equivalent one with a designed scalar by introducing a set of coordinate transformations. After that, by designing an implementable homogeneous reduced-order observer, and tactfully selecting a suitable Lyapunov–Krasoviskii functional and a low gain scale, a delay-independent output-feedback controller is explicitly constructed. Finally, the globally asymptotically stability in probability of the closed-loop system is ensured by rigorous proof. The simulation results demonstrate the efficiency of the proposed design scheme.

Application of Combined Feedforward and Feedback Controller With Shaped Input to Benchmark Problem

2010 ◽  
Vol 132 (2) ◽  
Author(s):  
Young Joo Shin ◽  
Peter H. Meckl
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
Control Strategies ◽  
Control Design ◽  
Single Frequency ◽  
Benchmark Problems ◽  
Control Force ◽  
Benchmark Problem ◽  
Advantages And Disadvantages ◽  
Robust Control Design

Benchmark problems have been used to evaluate the performance of a variety of robust control design methodologies by many control engineers over the past 2 decades. A benchmark is a simple but meaningful problem to highlight the advantages and disadvantages of different control strategies. This paper verifies the performance of a new control strategy, which is called combined feedforward and feedback control with shaped input (CFFS), through a benchmark problem applied to a two-mass-spring system. CFFS, which consists of feedback and feedforward controllers and shaped input, can achieve high performance with a simple controller design. This control strategy has several unique characteristics. First, the shaped input is designed to extract energy from the flexible modes, which means that a simpler feedback control design based on a rigid-body model can be used. In addition, only a single frequency must be attenuated to reduce residual vibration of both masses. Second, only the dynamics between control force and the first mass need to be considered in designing both feedback and feedforward controllers. The proposed control strategy is applied to a benchmark problem and its performance is compared with that obtained using two alternative control strategies.

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