The Experts below are selected from a list of 2259 Experts worldwide ranked by ideXlab platform
R Punchalard - One of the best experts on this subject based on the ideXlab platform.
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a modified Inverse Tangent based adaptive algorithm for a second order constrained adaptive iir notch filter
Signal Processing, 2014Co-Authors: R PunchalardAbstract:A modified Inverse Tangent (MIT) based adaptive algorithm for a second-order constrained adaptive IIR notch filter (ANF) is proposed in this paper. The objective of this work is to overcome some drawbacks of the gradient based adaptive algorithms (GAs) including slow convergence speed, bias, and high sensitivity to impulsive noise. The proposed MIT algorithm employs the ratio of output signal to internal state as an error criterion where the Inverse Tangent value of such ratio is employed to adjust the filter parameter. It is found that the proposed algorithm provides not only high speed of convergence but also high impulsive noise robustness. Moreover, unbias of the frequency estimate is also obtained. Computer simulations are conducted to show the performance of the proposed algorithm.
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Inverse Tangent based adaptive iir notch filter
Asia Pacific Conference on Circuits and Systems, 2006Co-Authors: R Punchalard, J Koseeyaporn, Paramote WardkeinAbstract:The Inverse Tangent based second-order adaptive IIR notch filter (ITANF) is presented in this paper. It is well known that the gradient-based adaptive IIR notch filter (ANF) has inherent low convergence speed due to the flattened error function. Moreover, the magnitude of error function depends on magnitude of sinusoid which implies that the speed of convergence of the gradient-based adaptive algorithm also depends on the magnitude of an input signal. To improve such drawback, the new Inverse Tangent based adaptive algorithm for a second order IIR notch filter is therefore proposed. The proposed algorithm employs the ratio of output to input signals as an error criterion where the Inverse Tangent value of the ratio is employed to adapt the filter parameter. It is found that the proposed algorithm provides not only high speed convergence but also high impulse noise robustness. The simulation results confirm that the performance of the proposed algorithm has been improved over the conventional ANF.
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Inverse Tangent based algorithm for constrained adaptive iir notch filter
IEEE Region 10 Conference, 2006Co-Authors: R Punchalard, J Koseeyaporn, Paramote WardkeinAbstract:The new Inverse Tangent based adaptive algorithm for a second-order constrained adaptive IIR notch filter is presented in this paper. The proposed algorithm employs the ratio of output to input signals as an error criterion where the Inverse Tangent value of the ratio is used to adapt the filter parameter. It is found that the proposed algorithm provides not only high speed convergence but also high impulse noise robustness. The simulation results confirm that the performance of the proposed algorithm has been improved over the conventional gradient based technique.
Paramote Wardkein - One of the best experts on this subject based on the ideXlab platform.
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Inverse Tangent based adaptive iir notch filter
Asia Pacific Conference on Circuits and Systems, 2006Co-Authors: R Punchalard, J Koseeyaporn, Paramote WardkeinAbstract:The Inverse Tangent based second-order adaptive IIR notch filter (ITANF) is presented in this paper. It is well known that the gradient-based adaptive IIR notch filter (ANF) has inherent low convergence speed due to the flattened error function. Moreover, the magnitude of error function depends on magnitude of sinusoid which implies that the speed of convergence of the gradient-based adaptive algorithm also depends on the magnitude of an input signal. To improve such drawback, the new Inverse Tangent based adaptive algorithm for a second order IIR notch filter is therefore proposed. The proposed algorithm employs the ratio of output to input signals as an error criterion where the Inverse Tangent value of the ratio is employed to adapt the filter parameter. It is found that the proposed algorithm provides not only high speed convergence but also high impulse noise robustness. The simulation results confirm that the performance of the proposed algorithm has been improved over the conventional ANF.
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Inverse Tangent based algorithm for constrained adaptive iir notch filter
IEEE Region 10 Conference, 2006Co-Authors: R Punchalard, J Koseeyaporn, Paramote WardkeinAbstract:The new Inverse Tangent based adaptive algorithm for a second-order constrained adaptive IIR notch filter is presented in this paper. The proposed algorithm employs the ratio of output to input signals as an error criterion where the Inverse Tangent value of the ratio is used to adapt the filter parameter. It is found that the proposed algorithm provides not only high speed convergence but also high impulse noise robustness. The simulation results confirm that the performance of the proposed algorithm has been improved over the conventional gradient based technique.
Andrzej Bartoszewicz - One of the best experts on this subject based on the ideXlab platform.
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Inverse Tangent based switching type reaching law for discrete time sliding mode control systems
European Control Conference, 2015Co-Authors: Piotr Lesniewski, Andrzej BartoszewiczAbstract:In this work the reaching law approach to the sliding mode control of discrete time systems is considered. We propose a reaching law, in which the convergence of the sliding variable to the vicinity of zero is governed by the Inverse Tangent function. First we analyze the case of the unperturbed system, and then we consider a second scenario with unknown disturbances and parameter uncertainties. We demonstrate, that for both cases the presented reaching law guarantees the quasi sliding motion of the representative point defined as crossing the sliding hyperplane in each successive control period while remaining inside an a priori known band around the hyperplane. When compared to the most popular, constant plus proportional reaching law, the proposed solution offers better robustness and faster convergence.
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Inverse Tangent reaching law for discrete sliding mode control with application to inventory management
Conference on Decision and Control, 2014Co-Authors: Andrzej Bartoszewicz, Piotr LesniewskiAbstract:In this paper we propose a modified, non-switching type reaching law for quasi-sliding mode control of linear discrete time dynamic systems. The reaching law determines the sliding variable rate of change proportional to the negative value of the Inverse Tangent of this variable. The approach proposed in this work helps satisfy input and state constraints in the controlled system, and at the same time it does not excessively damp the system convergence rate when the sliding variable is small. In the second part of this paper the proposed reaching law is successfully applied to solve the periodic review inventory management problem, with suppliers' constraints explicitly taken into account.
Qi Feng - One of the best experts on this subject based on the ideXlab platform.
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Maclaurin series expansions for powers of Inverse (hyperbolic) sine, for powers of Inverse (hyperbolic) Tangent, and for incomplete gamma functions, with applications to second kind Bell polynomials and generalized logsine function
2021Co-Authors: Guo Bai-ni, Lim Dongkyu, Qi FengAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the Inverse sine function, for powers of the Inverse hyperbolic sine function, for composites of incomplete gamma functions with the Inverse hyperbolic sine function, for powers of the Inverse Tangent function, and for powers of the Inverse hyperbolic Tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the Inverse sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logsine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones.Comment: 24 page
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Maclaurin series expansions for powers of Inverse (hyperbolic) sine, for powers of Inverse (hyperbolic) Tangent, and for incomplete gamma functions, with applications
'American Institute of Mathematical Sciences (AIMS)', 2021Co-Authors: Guo Bai-ni, Lim Dongkyu, Qi FengAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the Inverse sine function, for powers of the Inverse hyperbolic sine function, for composites of incomplete gamma functions with the Inverse hyperbolic sine function, for powers of the Inverse Tangent function, and for powers of the Inverse hyperbolic Tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the Inverse sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logsine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones. All the Maclaurin series expansions of powers of the Inverse trigonometric functions can be used to derive infinite series representations of corresponding powers of the constant Pi.Comment: 26 page
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Maclaurin series expansions for positive integer powers of Inverse (hyperbolic) sine and Tangent functions and for incomplete gamma functions with applications
'American Institute of Mathematical Sciences (AIMS)', 2021Co-Authors: Guo Bai-ni, Lim Dongkyu, Qi FengAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the Inverse sine function, for powers of the Inverse hyperbolic sine function, for composites of incomplete gamma functions with the Inverse hyperbolic sine function, for powers of the Inverse Tangent function, and for powers of the Inverse hyperbolic Tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the Inverse sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logsine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones. All the Maclaurin series expansions of powers of the Inverse trigonometric functions can be used to derive infinite series representations of corresponding powers of the constant Pi.Comment: 28 page
Piotr Lesniewski - One of the best experts on this subject based on the ideXlab platform.
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Inverse Tangent based switching type reaching law for discrete time sliding mode control systems
European Control Conference, 2015Co-Authors: Piotr Lesniewski, Andrzej BartoszewiczAbstract:In this work the reaching law approach to the sliding mode control of discrete time systems is considered. We propose a reaching law, in which the convergence of the sliding variable to the vicinity of zero is governed by the Inverse Tangent function. First we analyze the case of the unperturbed system, and then we consider a second scenario with unknown disturbances and parameter uncertainties. We demonstrate, that for both cases the presented reaching law guarantees the quasi sliding motion of the representative point defined as crossing the sliding hyperplane in each successive control period while remaining inside an a priori known band around the hyperplane. When compared to the most popular, constant plus proportional reaching law, the proposed solution offers better robustness and faster convergence.
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Inverse Tangent reaching law for discrete sliding mode control with application to inventory management
Conference on Decision and Control, 2014Co-Authors: Andrzej Bartoszewicz, Piotr LesniewskiAbstract:In this paper we propose a modified, non-switching type reaching law for quasi-sliding mode control of linear discrete time dynamic systems. The reaching law determines the sliding variable rate of change proportional to the negative value of the Inverse Tangent of this variable. The approach proposed in this work helps satisfy input and state constraints in the controlled system, and at the same time it does not excessively damp the system convergence rate when the sliding variable is small. In the second part of this paper the proposed reaching law is successfully applied to solve the periodic review inventory management problem, with suppliers' constraints explicitly taken into account.
