A non-exact Brunovsky form and dynamic feedback linearization

Author(s):  
J.B. Pomet ◽  
C.H. Moog ◽  
E. Aranda
Author(s):  
Edgar I. Ergueta ◽  
Robert Seifried ◽  
Roberto Horowitz

This paper presents two different control strategies for paper position control in printing devices. The first strategy is based on feedback linearization plus dynamic extension (dynamic feed-back linearization). Even though this controller is very simple to design, we show that it is not able to handle actuator multiplicative uncertainties, and therefore it fails when it is implemented on the experimental setup. The second strategy we present uses similar concepts, but it is more robust since feedback linearization is used only to linearize the kinematics of the system and internal loops are used to locally control the actuator’s positions and velocities. Not only do we prove the robustness of the second control strategy, but we also show its successful implementation.


1995 ◽  
Vol 117 (4) ◽  
pp. 468-477 ◽  
Author(s):  
Gholamreza Vossoughi ◽  
Max Donath

Using the dynamic inversion principal, a globally linearizing feedback control law is developed for an electrohydraulic servo system. The proposed control law is implemented on a rotational joint driven by a linear actuator. The results from experiments indicate that better uniformity of response is achieved across a wider range of operating conditions than would otherwise be possible. Improved symmetry is obtained for the extension and retraction phases of motion for an asymmetric actuator under various loading conditions and actuator positions. As a result of the improvements in linearity, significantly better performance is achieved when using linear controllers. To incorporate the effects of parametric uncertainties on the feedback linearization, a state space linear fractional representation of the parametrically uncertain linearized system is also developed. This uncertainty model is specifically suited for the design of robust control systems using the μ-synthesis and H∞ based approach.


2010 ◽  
Vol 4 (1) ◽  
Author(s):  
Roger Bostelman ◽  
Ji-Chul Ryu ◽  
Tommy Chang ◽  
Joshua Johnson ◽  
Sunil K. Agrawal

The home lift, position, and rehabilitation (HLPR) chair has a unique design and novel capabilities when compared with conventional powered wheelchairs. In addition to mobility, it provides lift and can transfer patients. Even though medical devices are developing at a rapid pace today, an aspect that is often overlooked in these developments is adherence to “rider safety standards.” The contributions of this paper are threefold: (i) novel design of a lift and transfer system, (ii) experiments and results toward improved stability test designs that include HLPR-type devices to meet rider safety standards, and (iii) autonomous navigation and control based on nonlinear system theory of dynamic feedback linearization. Stability experimental results show promise for multipurpose patient mobility, lift, and transfer devices such as HLPR. A method for autonomous maneuvers was tested in simulation and experiments. We also expect the autonomous or semi-autonomous mobility mode of the vehicle to be useful for riders who have potential neural and cognitive impairments.


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