Motion and Vibration Control of Three Dimensional Flexible Shaking Table Using LQI Control Approach

2001 ◽  
Author(s):  
Hidefumi Hiramatsu ◽  
Daijiro Fuji ◽  
Kazuto Seto ◽  
Toru Watanabe
Keyword(s):  
Vibration Control ◽  
Three Dimensional ◽  
Design Procedure ◽  
Equation System ◽  
State Equation ◽  
Shaking Table ◽  
System Model ◽  
Vibration Modes ◽  
Control Approach ◽  
Control Forces

Abstract This paper deals with a design procedure of control system for a three-dimensional flexible shaking table. The shaking table should be less weighted so that actuators require less control forces and higher fidelity to control commands. However, as the weight of shaking table is reduced, the natural frequencies of vibration modes of the table appear on operating frequency region. Such vibration modes get into problem that may cause spillover instability. So, the research purpose is to control such vibration and motion by using the modeling method presented by Seto [1]. Utilizing the model, state equation system model including integrator is composed and feedback controller is designed by using LQI control law. As the system model both includes the multi-degree-of -freedom-structure model and integrator, the designed controller achieves simultaneous motion and vibration control. Computer simulation and control experiments are carried out and the effectiveness of the presented procedure is investigated.

Multi Mode Vibration Control and Broder Band Motion Control of Three Dimensional Shaking Table

2005 ◽  
Author(s):  
Tsunehiro Wakasugi ◽  
Toru Watanabe ◽  
Kazuto Seto
Keyword(s):  
Vibration Control ◽  
Controller Design ◽  
Design Method ◽  
Three Dimensional ◽  
Design Procedure ◽  
Equation System ◽  
State Equation ◽  
Shaking Table ◽  
Mode Vibration ◽  
And Control

This paper deals with a new system design method for motion and vibration control of a three-dimensional flexible shaking table. An integrated modeling and controller design procedure for flexible shaking table system is presented. An experimental three-dimensional shaking table is built. “Reduced-Order Physical Model” procedure is adopted. A state equation system model is composed and a feedback controller is designed by applying LQI control law to achieve simultaneous motion and vibration control. Adding a feedforward, two-degree-of-freedom control system is designed. Computer simulations and control experiments are carried out and the effectiveness of the presented procedure is investigated. The robustness of the system is also investigated.

A Method of Reliability Sensitivity Analysis for Gear Drive System

2011 ◽  
Vol 130-134 ◽  
pp. 2311-2315
Author(s):  
Chang Li ◽  
Guang Bing Zhao ◽  
Xing Han
Keyword(s):  
Three Dimensional ◽  
Element Model ◽  
Equation System ◽  
State Equation ◽  
Drive System ◽  
Ultimate State ◽  
Gear Drive ◽  
Reliability Sensitivity ◽  
In Series ◽  
Three Dimensional Finite Element

Based on profile involutes equation and tooth easement curve equation of standard gear, parameterization three dimensional finite element model of the gear drive system is built up in ANSYS, and numerical computation of the working process is taken in ANSYS/LS-DYNA, then contact stress of and pressure distribution are got. It creates an ultimate state equation of every system parameter (input) converting to output (response), considering different system random error synthetically, sample points locations in input variable sampling space are fixed with the method of matrix experiment design, which was used in series of deterministic fitting test. In the test, least-squares procedure regression analysis of the ultimate state equation is taken to fix the items and coefficients after multiple fitting test. Using this ultimate state equation, system reliability level and reliability sensitivity of different variables can be calculated which provides theoretical bases for dynamic optimum design of gear drive system.

scholarly journals UAV Formation Shape Control via Decentralized Markov Decision Processes

Algorithms ◽  
2021 ◽  
Vol 14 (3) ◽  
pp. 91
Author(s):  
Md Ali Azam ◽  
Hans D. Mittelmann ◽  
Shankarachary Ragi
Keyword(s):  
Control Problem ◽  
Shape Control ◽  
Formation Control ◽  
Three Dimensional ◽  
Geographical Region ◽  
Dynamic Programming Method ◽  
Theoretic Approach ◽  
Control Approach ◽  
Uav Swarm ◽  
Markov Decision

In this paper, we present a decentralized unmanned aerial vehicle (UAV) swarm formation control approach based on a decision theoretic approach. Specifically, we pose the UAV swarm motion control problem as a decentralized Markov decision process (Dec-MDP). Here, the goal is to drive the UAV swarm from an initial geographical region to another geographical region where the swarm must form a three-dimensional shape (e.g., surface of a sphere). As most decision-theoretic formulations suffer from the curse of dimensionality, we adapt an existing fast approximate dynamic programming method called nominal belief-state optimization (NBO) to approximately solve the formation control problem. We perform numerical studies in MATLAB to validate the performance of the above control algorithms.

scholarly journals Ultimate Bound of a 3D Chaotic System and Its Application in Chaos Synchronization

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Jiezhi Wang ◽  
Qing Zhang ◽  
Zengqiang Chen ◽  
Hang Li
Keyword(s):  
Chaotic System ◽  
Chaos Synchronization ◽  
Three Dimensional ◽  
Boundary Region ◽  
Cross Product ◽  
State Equation ◽  
Linear Coefficient ◽  
Analytical Expression ◽  
Product Term ◽  
Cross Product Term

Two ellipsoidal ultimate boundary regions of a special three-dimensional (3D) chaotic system are proposed. To this chaotic system, the linear coefficient of theith state variable in theith state equation has the same sign; it also has two one-order terms and one quadratic cross-product term in each equation. A numerical solution and an analytical expression of the ultimate bounds are received. To get the analytical expression of the ultimate boundary region, a new result of one maximum optimization question is proved. The corresponding ultimate boundary regions are demonstrated through numerical simulations. Utilizing the bounds obtained, a linear controller is proposed to achieve the complete chaos synchronization. Numerical simulation exhibits the feasibility of the designed scheme.

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