Smart structure control in matrix second order form

1995 ◽  
Author(s):  
Anjali M. Diwekar ◽  
Rama K. Yedavalli
Keyword(s):  
Second Order ◽  
Smart Structure ◽  
Structure Control ◽  
Order Form

Smart structure control in matrix second-order form

1996 ◽  
Vol 5 (4) ◽  
pp. 429-436 ◽  
Author(s):  
Anjali M Diwekar ◽  
Rama K Yedavalli
Keyword(s):  
Second Order ◽  
Smart Structure ◽  
Structure Control ◽  
Order Form

Tracking Design of an Omni-Direction Autonomous Ground Vehicle by Hierarchical Enhancement Using Fuzzy Second-Order Variable Structure Control

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
Chih-Lyang Hwang ◽  
Yunta Lee
Keyword(s):  
Tracking Error ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Second Order ◽  
Hierarchical Architecture ◽  
Switching Surface ◽  
Ground Vehicle ◽  
Structure Control ◽  
Linear Dynamic ◽  
Order Variable

Owing to the hierarchical architecture of the derived model of the omni-direction autonomous ground vehicle (OD-AGV), the virtual desired trajectory (VDT) is first designed by the first switching surface, which is set as the linear dynamic pose error of the OD-AGV. In sequence, the trajectory tracking control (TTC) is designed by the second switching surface, which is the linear dynamic tracking error of the VDT. To deal with nonlinear time-varying uncertainties including system disturbance and different ground conditions, enhanced fuzzy second-order variable structure control (EF2VSC) is designed into both VDT and TTC. Finally, the experiments for tracking the circular trajectories with different curvatures, traveling velocities, and poses of the OD-AGV are presented to validate the effectiveness and robustness of the proposed hierarchical enhancement using fuzzy second-order variable structure control (HEF2VSC).

scholarly journals Extracting second-order structures from single-input state-space models: Application to model order reduction

2011 ◽  
Vol 21 (3) ◽  
pp. 509-519 ◽  
Author(s):  
Jérôme Guillet ◽  
Benjamin Mourllion ◽  
Abderazik Birouche ◽  
Michel Basset
Keyword(s):  
State Space ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Second Order ◽  
Input State ◽  
Model Order ◽  
New Approach ◽  
Order Form ◽  
Form Model ◽  
Single Input

Extracting second-order structures from single-input state-space models: Application to model order reductionThis paper focuses on the model order reduction problem of second-order form models. The aim is to provide a reduction procedure which guarantees the preservation of the physical structural conditions of second-order form models. To solve this problem, a new approach has been developed to transform a second-order form model from a state-space realization which ensures the preservation of the structural conditions. This new approach is designed for controllable single-input state-space realizations with real matrices and has been applied to reduce a single-input second-order form model by balanced truncation and modal truncation.

scholarly journals Spectral methods for the wave equation in second-order form

2010 ◽  
Vol 82 (2) ◽  
Author(s):  
Nicholas W. Taylor ◽  
Lawrence E. Kidder ◽  
Saul A. Teukolsky
Keyword(s):  
Wave Equation ◽  
Spectral Methods ◽  
Second Order ◽  
Order Form

scholarly journals Fixed-Time Formation Control for Second-Order Disturbed Multi-Agent Systems under Directed Graph

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2295
Author(s):  
Huifen Hong ◽  
He Wang
Keyword(s):  
Formation Control ◽  
Control Method ◽  
Variable Structure ◽  
Fixed Time ◽  
Second Order ◽  
Multi Agent Systems ◽  
Structure Control ◽  
Agent Systems ◽  
Bounded Disturbances ◽  
Multi Agent

This paper investigates the fixed-time formation (FixF) control problem for second-order multi-agent systems (MASs), where each agent is subject to disturbance and the communication network is general directed. First, a FixF protocol is presented based on the backstepping technique, where the distributed cooperative variable structure control method is utilized to handle the bounded disturbances. Then, to remove the dependence of control gains on the global information, a practical adaptive FixF control is presented, where the MASs can achieve formation with a bounded error within fixed time. Finally, a numerical example is presented to validate the theoretical result.

scholarly journals Fuzzy Adaptive Variable Structure Control of Second-Order Robotic Manipulators with Dead Zones

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Songyu Wang ◽  
Xianmin Hou
Keyword(s):  
Fuzzy Systems ◽  
Variable Structure ◽  
Second Order ◽  
Theoretical Derivation ◽  
Controlled System ◽  
Dead Zones ◽  
Structure Control ◽  
Adaptive Laws ◽  
The Stability ◽  
Fuzzy Adaptive

In this study, with respect to certain second-order robotic systems with dead zones, a fuzzy adaptive variable structure controller (VSC) is implemented. Some suitable adaptive fuzzy systems are used to estimate uncertain functions. Based on Lyapunov stability theorems, parameter adaptive laws are designed, and it is proven that all signals involved will remain bounded and the stability of the controlled system is also guaranteed. Our controller is effective for the system with or without sector nonlinearity. Finally, a simulation example is presented to illustrate the correctness of the theoretical derivation.

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