On the Synthesis of a Stabilizing Feedback Control

2006 ◽  
pp. 239-246
Author(s):  
Mikhail I. Krastanov
Keyword(s):  
Feedback Control ◽  
Stabilizing Feedback Control

Rolling balance board of adjustable geometry as a tool to assess balancing skill and to estimate reaction time delay

2021 ◽  
Vol 18 (176) ◽  
Author(s):  
Csenge A. Molnar ◽  
Ambrus Zelei ◽  
Tamas Insperger
Keyword(s):  
Reaction Time ◽  
Time Delay ◽  
Feedback Control ◽  
Mechanical Model ◽  
Human Subjects ◽  
Reaction Times ◽  
Physical Parameters ◽  
Stabilizing Feedback Control ◽  
Model Subject ◽  
Balance Board

The relation between balancing performance and reaction time is investigated for human subjects balancing on rolling balance board of adjustable physical parameters: adjustable rolling radius R and adjustable board elevation h . A well-defined measure of balancing performance is whether a subject can or cannot balance on balance board with a given geometry ( R , h ). The balancing ability is linked to the stabilizability of the underlying two-degree-of-freedom mechanical model subject to a delayed proportional–derivative feedback control. Although different sensory perceptions involve different reaction times at different hierarchical feedback loops, their effect is modelled as a single lumped reaction time delay. Stabilizability is investigated in terms of the time delay in the mechanical model: if the delay is larger than a critical value (critical delay), then no stabilizing feedback control exists. Series of balancing trials by 15 human subjects show that it is more difficult to balance on balance board configuration associated with smaller critical delay, than on balance boards associated with larger critical delay. Experiments verify the feature of the mechanical model that a change in the rolling radius R results in larger change in the difficulty of the task than the same change in the board elevation h does. The rolling balance board characterized by the two well-defined parameters R and h can therefore be a useful device to assess human balancing skill and to estimate the corresponding lumped reaction time delay.

scholarly journals Constrained control and rate or increment for linear systems with additive disturbances

2006 ◽  
Vol 2006 ◽  
pp. 1-16 ◽  
Author(s):  
Fouad Mesquine ◽  
Fernando Tadeo ◽  
Abdellah Benzaouia
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Sufficient Conditions ◽  
Ball Screw ◽  
Control Law ◽  
Constrained Control ◽  
Stabilizing Feedback Control ◽  
Bounded Disturbances ◽  
Control Of Linear Systems ◽  
Necessary And Sufficient

This paper is devoted to the control of linear systems with constrained control and rate or increment with additive bounded disturbances. Necessary and sufficient conditions such that the system evolution respects rate or increment constraints are used to derive stabilizing feedback control. The control law respects both constraints on control and its rate or increment and is robust against additive bounded disturbances. An application to a surface mount robot, where theY-axis of the machine uses a typical ball screw transmission driven by a DC motor to position circuits boards, is achieved.

Optimal Feedback Control of Vortex Shedding Using Proper Orthogonal Decomposition Models

2001 ◽  
Vol 123 (3) ◽  
pp. 612-618 ◽  
Author(s):  
Sahjendra N. Singh ◽  
James H. Myatt ◽  
Gregory A. Addington ◽  
Siva Banda ◽  
James K. Hall
Keyword(s):  
Feedback Control ◽  
Proper Orthogonal Decomposition ◽  
Control Function ◽  
Orthogonal Decomposition ◽  
Wake Flow ◽  
Optimal Feedback Control ◽  
Stabilizing Feedback Control ◽  
Decomposition Models ◽  
System Mode ◽  
Proper Orthogonal

This paper treats the question of control of two-dimensional incompressible, unsteady wake flow behind a circular cylinder at Reynolds number Re=100. Two finite-dimensional lower order models based on proper orthogonal decomposition (POD) are considered for the control system design. Control action is achieved via cylinder rotation. Linear optimal control theory is used for obtaining stabilizing feedback control systems. An expression for the region of stability of the system is derived. Simulation results for 18-mode POD models obtained using the control function and penalty methods are presented. These results show that in the closed-loop system mode amplitudes asymptotically converge to the chosen equilibrium state for each flow model for large perturbations in the initial states.

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