2022
DOI: 10.1109/access.2021.3140160
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Modified Linear Technique for the Controllability and Observability of Robotic Arms

Abstract: In this study, a modified linear technique is proposed for the controllability and observability of robotic arms, the modified linear technique consists of the following steps: a transformation is used to rewrite a nonlinear time-variant model as a linear time-variant model, this linear time-variant model is evaluated at origin to obtain a linear time-invariant model, and the rank condition tests the controllability and observability of the linear time-invariant model. The modified linear technique is better t… Show more

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Cited by 49 publications
(8 citation statements)
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“…Compared to humans, designed manipulators have many benefits including high adaptability, high accuracy, low-production cost, and low-error rate. However, in practice, manipulators have varying parameter inaccuracies compared to their underlying theoretical models [1][2][3][4][5][6]. These discrepancies are due to a host of reasons, including tolerance design, machining errors, assembly errors, and mechanical wear [7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…Compared to humans, designed manipulators have many benefits including high adaptability, high accuracy, low-production cost, and low-error rate. However, in practice, manipulators have varying parameter inaccuracies compared to their underlying theoretical models [1][2][3][4][5][6]. These discrepancies are due to a host of reasons, including tolerance design, machining errors, assembly errors, and mechanical wear [7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…The unreachable optimal configuration of the camera is mainly caused by the head rotation. Therefore, the tracking algorithm should increase the weights of the orientation control object [15][16][17][18][19][20]. Furthermore, a patient's head always rotates from side to side because the body is constrained on the bed.…”
Section: Introductionmentioning
confidence: 99%
“…Designing a robust controller for uncertain systems that can accommodate such uncertainties has always been an important yet challenging problem. To retain the robustness property, various robust control methods have been developed against model uncertainties [3][4][5][6][7][8]. Conventional robust control methods, however, were studied mainly via offline means.…”
Section: Introductionmentioning
confidence: 99%