2014
DOI: 10.1007/s11432-014-5142-4
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Active tension optimal control for WT wheelchair robot by using a novel control law for holonomic or nonholonomic systems

Abstract: The characteristics of interaction between WT wheelchair robot and stair environments is analyzed and possible patterns of WT wheelchair robot during the stair-climbing process are summarized, with criteria to determine the pattern of the wheelchair robot proposed. Aiming at the complicated mechanism of WT wheelchair robot with holonomic constraints and combining it with the dynamic programming, namely the Hamilton-Jacobi equation, a new control law called active tension optimal control is presented for holono… Show more

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Cited by 4 publications
(4 citation statements)
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References 6 publications
(7 reference statements)
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“…For the track-based EPW-SC, the Proportion Integration Derivation (PID) control algorithm is sufficient for controlling the speed of its driven wheels and rotation angle of the seat, as applied in the TopChair-S. 3 In addition, an active optimal control for track-based EPW-SCs with non-holonomic system was designed by Wang et al to obtain the expected reference of constraint forces and verification through the simulation. 55 In addition, a few researchers have considered stair recognition technology and gravity center adjustment methods, which are beneficial to the EPW-SC's stability in stair-climbing. For example, Häcker et al developed a stair-sensing system for EPW-SCs based on optical threedimensional (3-D) data.…”
Section: Track-based Epw-scmentioning
confidence: 99%
“…For the track-based EPW-SC, the Proportion Integration Derivation (PID) control algorithm is sufficient for controlling the speed of its driven wheels and rotation angle of the seat, as applied in the TopChair-S. 3 In addition, an active optimal control for track-based EPW-SCs with non-holonomic system was designed by Wang et al to obtain the expected reference of constraint forces and verification through the simulation. 55 In addition, a few researchers have considered stair recognition technology and gravity center adjustment methods, which are beneficial to the EPW-SC's stability in stair-climbing. For example, Häcker et al developed a stair-sensing system for EPW-SCs based on optical threedimensional (3-D) data.…”
Section: Track-based Epw-scmentioning
confidence: 99%
“…We know that if we obtain the optimal Q function Q * (x k , u k ), then the optimal control law u * (x k ) and the optimal performance index function J * (x k ) can be obtained. However, the optimal Q function Q * (x k , u k ) is generally an unknown and non-analytic function, which cannot be obtained directly by (3). Hence, a new policy iteration based Q-learning algorithm is developed to solve the Q function iteratively.…”
Section: Problem Formulationmentioning
confidence: 99%
“…Optimal control of nonlinear systems has been the focus of control fields for many decades [1][2][3][4][5][6]. Dynamic programming is a useful technique in handling optimal control problems, though it is often computationally untenable to perform it to obtain the optimal solutions.…”
Section: Introductionmentioning
confidence: 99%
“…When operating the electric wheelchair with the manual interfaces, it is easy to reach the target position in a wide space. However, as a non-holonomic system, electric wheelchairs cannot move laterally, that means even the fine adjustment of position needs to repeatedly tilt the joystick by a small amount [25].…”
Section: Introductionmentioning
confidence: 99%