Falu Weng

Bio: Falu Weng is an academic researcher. The author has contributed to research in topics: Optimization problem & Transformation matrix. The author has an hindex of 1, co-authored 1 publications receiving 4 citations.

Tuned mass damper parameters design for structural systems via linear matrix inequality and genetic algorithm

Abstract: The tuned mass damper parameters designing for structural systems based on combining linear matrix inequality with genetic algorithm is of concern in this paper. Firstly, based on matrix transform, the novel model description with a singular style for structural systems is obtained, in which the possible coupling of those uncertainties is avoided. Secondly, an approach, which combines linear matrix inequality with genetic algorithm, is taken in this work to solving the optimization problems, and the optimized tuned mass damper parameters can be obtained by solving the optimization problems such that the tuned-mass-damper-controlled systems have a prescribed level of vibration attenuation performance. Furthermore, the obtained results are also extended to the uncertain cases. Finally, the effectiveness of the obtained theorems is demonstrated by numerical simulation results.

Sampled-data-based vibration control for structural systems with finite-time state constraint and sensor outage.

Abstract: The problem of sampled-data-based vibration control for structural systems with finite-time state constraint and sensor outage is investigated in this paper. The objective of designing controllers is to guarantee the stability and anti-disturbance performance of the closed-loop systems while some sensor outages happen. Firstly, based on matrix transformation, the state-space model of structural systems with sensor outages and uncertainties appearing in the mass, damping and stiffness matrices is established. Secondly, by considering most of those earthquakes or strong winds happen in a very short time, and it is often the peak values make the structures damaged, the finite-time stability analysis method is introduced to constrain the state responses in a given time interval, and the H-infinity stability is adopted in the controller design to make sure that the closed-loop system has a prescribed level of disturbance attenuation performance during the whole control process. Furthermore, all stabilization conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using the LMI Toolbox. Finally, numerical examples are given to demonstrate the effectiveness of the proposed theorems.

State-energy-constrained controller design for uncertain semi-state systems and its application in mechanical system control

Abstract: The state-energy-constrained controller design for uncertain semi-state systems and its application in mechanical system control is studied in this paper. The objective is to get a sampled-data-based controller, with which the system is state-energy-constrained in a finite-time interval and has a given anti-disturbance performance. First, by adopting the matrix convex sets and data sampling, a sampled-data-based model for uncertain semi-state systems is obtained. Second, by considering those state-energy-constraints in real systems, the finite-time stability theory is utilized in the system analysis, and some sufficient conditions are achieved for uncertain semi-state systems with sampled data to be stabilizable. If these conditions are solvable, the sampled-data-based state-feedback controller can be gotten, such that the controlled system has an H-infinite performance, and the state energy is constrained in a finite-time interval. Finally, the obtained theorem is used to control some mechanical systems, and the results show that the controller obtained by the theorem in this paper can effectively attenuate the vibration of those mechanical systems and constrains their state-energies in a finite-time interval.

H-infinite Stability Analysis and Controller Synthesis for Markov Jump System with Pure Time-Delays

Abstract: Some H-infinite stability control methods for Markov jump systems with pure time-delays are discussed in this paper, and some theorems are obtained to stabilize the systems with some anti-disturbance performances. Firstly, the system description with some distributed time delays is obtained by using a system transformation. Secondly, according to a positive energy functional and LMI technique, some sufficient conditions are achieved for making sure the system is stable. If those criteria are solvable, some controllers can be gotten to stabilize system and the energy gain from the external disturbance to the system output is constrained to be no larger than a prescribed value. Furthermore, some examples are given to show that the obtained methods are useful.