The Experts below are selected from a list of 234 Experts worldwide ranked by ideXlab platform
Mohammad Mehdi Fateh - One of the best experts on this subject based on the ideXlab platform.
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Control of fractional periodic discrete-time linear systems by parametric state Feedback matrices
Nonlinear Dynamics, 2016Co-Authors: Javad Esmaeili, Hojjat Ahsani Tehrani, Mohammad Mehdi FatehAbstract:In this article stabilization of fractional-order periodic discrete-time linear system by a complete nonlinear parametric approach for pole assignment with respect to stability and reachability of system via state Feedback is proposed. To modify the dynamic response of linear system we should change the poles of state Feedback matrices. Nonlinear parametric Feedback Matrix makes some freedoms in conditions such as minimum norm of Feedback Matrix. But it makes large monodromy Matrix and changing all of eigenvalues makes some problems. Reassigning a part of bad spectrums, leaving the rest of the spectrums invariant, we have lower-ordered Matrix to modify the dynamic response of linear system and we can make nonlinear parametric for this new lower-ordered Matrix by less expenses and better stability conditions. Numerical examples illustrate the effectiveness of the proposed approaches.
Emanuel A P Habets - One of the best experts on this subject based on the ideXlab platform.
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Scattering in Feedback Delay Networks
arXiv: Sound, 2019Co-Authors: Sebastian J Schlecht, Emanuel A P HabetsAbstract:Feedback delay networks (FDNs) are recursive filters, which are widely used for artificial reverberation and decorrelation. One central challenge in the design of FDNs is the generation of sufficient echo density in the impulse response without compromising the computational efficiency. In a previous contribution, we have demonstrated that the echo density of an FDN can be increased by introducing so-called delay Feedback matrices where each Matrix entry is a scalar gain and a delay. In this contribution, we generalize the Feedback Matrix to arbitrary lossless filter Feedback matrices (FFMs). As a special case, we propose the velvet Feedback Matrix, which can create dense impulse responses at a minimal computational cost. Further, FFMs can be used to emulate the scattering effects of non-specular reflections. We demonstrate the effectiveness of FFMs in terms of echo density and modal distribution.
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On Lossless Feedback Delay Networks
IEEE Transactions on Signal Processing, 2017Co-Authors: Sebastian J Schlecht, Emanuel A P HabetsAbstract:Lossless Feedback Delay Networks (FDNs) are commonly used as a design prototype for artificial reverberation algorithms. The lossless property is dependent on the Feedback Matrix, which connects the output of a set of delays to their inputs, and the lengths of the delays. Both, unitary and triangular Feedback matrices are known to constitute lossless FDNs, however, the most general class of lossless Feedback matrices has not been identified. In this contribution, it is shown that the FDN is lossless for any set of delays, if all irreducible components of the Feedback Matrix are diagonally similar to a unitary Matrix. The necessity of the generalized class of Feedback matrices is demonstrated by examples of FDN designs proposed in literature.
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time varying Feedback matrices in Feedback delay networks and their application in artificial reverberation
Journal of the Acoustical Society of America, 2015Co-Authors: Sebastian J Schlecht, Emanuel A P HabetsAbstract:This paper introduces a time-variant reverberation algorithm as an extension of the Feedback delay network (FDN). By modulating the Feedback Matrix nearly continuously over time, a complex pattern of concurrent amplitude modulations of the Feedback paths evolves. Due to its complexity, the modulation produces less likely perceivable artifacts and the time-variation helps to increase the liveliness of the reverberation tail. A listening test, which has been conducted, confirms that the perceived quality of the reverberation tail can be enhanced by the Feedback Matrix modulation. In contrast to the prior art time-varying allpass FDNs, it is shown that unitary Feedback Matrix modulation is guaranteed to be stable. Analytical constraints on the pole locations of the FDN help to describe the modulation effect in depth. Further, techniques and conditions for continuous Feedback Matrix modulation are presented.
Rajni V. Patel - One of the best experts on this subject based on the ideXlab platform.
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Transmission zero assignment in linear multivariable systems. I. Square systems
Proceedings of the 27th IEEE Conference on Decision and Control, 1Co-Authors: Pradeep Kumar Misra, Rajni V. PatelAbstract:The authors consider the problem of assigning transmission zeros in a linear time-invariant multivariate system. This problem complements the pole (eigenvalue) assignment problem. It is shown that the general problem can be formulated as that of finding a full rank (dynamic) output Feedback Matrix which assigns the eigenvalues of the given system to the locations at which the transmission zeros are to be positioned. Using the inverse of the output Feedback Matrix as a feedthrough term then results in a system which has transmission zeros at the desired locations. >
Xu Feng - One of the best experts on this subject based on the ideXlab platform.
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Some new results on simultaneous stabilization controller using state-space approach
Proceedings of 1995 American Control Conference - ACC'95, 1995Co-Authors: Xu FengAbstract:In this paper, the simultaneous stabilization problem for a set of MIMO plants is discussed and the necessary and sufficient condition for this problem is derived, It is shown that strong stabilization is equivalent to the existence of state Feedback Matrix F and state observation Matrix H such that A+BF+HC+HDP is stable and that the simultaneous stabilizability of two plants is equivalent to finding two compatible state Feedback Matrix F/sub s/ and observation Matrix H/sub s/ which is easily realized with computer and that simultaneous stabilizability of r+1 (r/spl ges/2) plants is equivalent to simultaneous strong stabilizability r-1 associated plants together with a common stable subplant.
Arno Linnemann - One of the best experts on this subject based on the ideXlab platform.
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An algorithm to compute state Feedback matrices for multi-input deadbeat control
Systems & Control Letters, 1995Co-Authors: Arno LinnemannAbstract:An algorithm for the computation of a state Feedback controller shifting all eigenvalues of the closed loop system to the origin is presented. The available freedom in multi-input systems is used to reduce the norm of the Feedback Matrix. The algorithm places one or more eigenvalues in each step using partial Feedback laws of minimal norm. This results in an overall Feedback Matrix whose norm is close to its minimum value in most cases.
