AN ADAPTIVE FILTER FOR THE MINIMIZATION OF TRACKING ERROR IN A NON-MINIMUM PHASE BEAM WITH UNCERTAINTY

This paper studies the speech enhancement technology. A Lyapunov function of the tracking error systems is defined, and the adaptive filter based on FXLMS algorithm can make the error converge to zero asymptotically. It is shown to be suitable to solve the problem of the speech enhancement from computer simulations

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A study on an estimation system of inverse transfer function using adaptive filter estimating minimum-phase and allpass transfer function

Electronics and Communications in Japan (Part III Fundamental Electronic Science) ◽

10.1002/ecjc.20305 ◽

2007 ◽

Vol 90 (9) ◽

pp. 10-17

Author(s):

Masaki Kobayashi ◽

Yoshio Itoh ◽

James Okello

Keyword(s):

Transfer Function ◽

Adaptive Filter ◽

Minimum Phase ◽

Estimation System

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Adaptive Robust Control for a Class of Non-Minimum Phase Nonlinear System

Dynamic Systems and Control, Parts A and B ◽

10.1115/imece2006-15025 ◽

2006 ◽

Cited By ~ 2

Author(s):

Bo Xie ◽

Bin Yao

Keyword(s):

Robust Control ◽

Nonlinear Systems ◽

Tracking Error ◽

Control Design ◽

Adaptive Robust Control ◽

Minimum Phase ◽

Control Approach ◽

Internal States ◽

Robust Control Design ◽

Error Dynamics

The paper presents the state feedback adaptive robust control approach to track the reference input for a class of nonminimum phase nonlinear systems. The key for this approach is to combine the adaptive robust control design techniques and the inputto-state property to deal with a class of non-minimum phase nonlinear systems with unknown parameter and unstructural uncertainties. The control design will guarantee that the tracking error dynamics is stabilized with bounded internal states and the closed-loop system is robust to the unstructural uncertainties.

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New Approach of Tracking Control for a Class of Non-Minimum Phase Linear Systems

Volume 9: Mechanical Systems and Control, Parts A, B, and C ◽

10.1115/imece2007-42237 ◽

2007 ◽

Author(s):

Bo Xie ◽

Bin Yao

Keyword(s):

Linear Systems ◽

Trajectory Planning ◽

Tracking Control ◽

Controller Design ◽

Tracking Error ◽

Trajectory Design ◽

Minimum Phase ◽

Control Approach ◽

Tracking Controller ◽

Phase Systems

The paper presents a new tracking control approach for a class of non-minimum phase linear systems. The proposed approach consists of two parts: trajectory planning and tracking controller design. The trajectory planning is solved as an optimization problem to improve the achievable transient performance under the fundamental constraints associated with perfect tracking of non-minimum phase systems. The recently proposed adaptive robust tracking controller for a class of non-minimum phase systems is then applied to guarantee that the tracking error dynamics can be stabilized with bounded internal states. The effectiveness of the proposed approach is illustrated through simulation on tracking control of a second order non-minimum phase linear system. Further works are underway to extend the proposed control strategy and trajectory design to a class of non-minimum phase nonlinear systems.

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