Modeling and analysis of nonholonomic dynamic systems with a class of rheonomous affine constraints
This paper is devoted to modeling and theoretical analysis of dynamic control systems subject to a class of rheonomous affine constraints, which are called A -rheonomous affine constraints. We first define A -rheonomous affine constraints and explain their geometric representation. Next, a necessary...
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Published in | Nonlinear dynamics Vol. 76; no. 2; pp. 1411 - 1422 |
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Main Author | |
Format | Journal Article |
Language | English |
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Dordrecht
Springer Netherlands
01.04.2014
Springer Nature B.V |
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Abstract | This paper is devoted to modeling and theoretical analysis of dynamic control systems subject to a class of rheonomous affine constraints, which are called
A
-rheonomous affine constraints. We first define
A
-rheonomous affine constraints and explain their geometric representation. Next, a necessary and sufficient condition for complete nonholonomicity of
A
-rheonomous affine constraints is shown. Then, we derive nonholonomic dynamic systems with
A
-rheonomous affine constraints (NDSARAC), which are included in the class of nonlinear control systems. We also analyze linear approximated systems and accessibility for the NDSARAC. Finally, the results are applied to some physical examples in order to check the application potentiality. |
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AbstractList | This paper is devoted to modeling and theoretical analysis of dynamic control systems subject to a class of rheonomous affine constraints, which are called $A$ -rheonomous affine constraints. We first define $A$ -rheonomous affine constraints and explain their geometric representation. Next, a necessary and sufficient condition for complete nonholonomicity of $A$ -rheonomous affine constraints is shown. Then, we derive nonholonomic dynamic systems with $A$ -rheonomous affine constraints (NDSARAC), which are included in the class of nonlinear control systems. We also analyze linear approximated systems and accessibility for the NDSARAC. Finally, the results are applied to some physical examples in order to check the application potentiality. This paper is devoted to modeling and theoretical analysis of dynamic control systems subject to a class of rheonomous affine constraints, which are called A -rheonomous affine constraints. We first define A -rheonomous affine constraints and explain their geometric representation. Next, a necessary and sufficient condition for complete nonholonomicity of A -rheonomous affine constraints is shown. Then, we derive nonholonomic dynamic systems with A -rheonomous affine constraints (NDSARAC), which are included in the class of nonlinear control systems. We also analyze linear approximated systems and accessibility for the NDSARAC. Finally, the results are applied to some physical examples in order to check the application potentiality. |
Author | Kai, Tatsuya |
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Cites_doi | 10.1109/CDC.2006.377186 10.1007/978-1-4757-2101-0 10.1017/CBO9780511530036 10.1109/CDC.2007.4434981 10.1109/9.277235 10.1109/9.173144 10.1515/9781400841042 10.9746/sicetr1965.42.222 10.1007/s11071-013-0786-y 10.1007/978-1-84628-615-5 10.1007/b84020 10.23919/ECC.2007.7069012 10.1007/978-1-4757-3108-8 10.1007/s11071-011-0203-3 10.1023/A:1012946515772 10.9746/sicetr1965.42.212 10.1016/j.apm.2011.10.015 |
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Keywords | Nonlinear control systems Rheonomous bracket Accessibility Rheonomous affine constraints Nonholonomic dynamic systems |
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A... This paper is devoted to modeling and theoretical analysis of dynamic control systems subject to a class of rheonomous affine constraints, which are called... This paper is devoted to modeling and theoretical analysis of dynamic control systems subject to a class of rheonomous affine constraints, which are called $A$... |
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Title | Modeling and analysis of nonholonomic dynamic systems with a class of rheonomous affine constraints |
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