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【期刊论文】Frequency response estimation for normalized coprime factors
周彤, TONG ZHOU†
INT. J. CONTROL, 2001, VOL. 74, NO.4, 315-328,-0001,():
-1年11月30日
This paper investigates estimating the frequency response of the normalized coprime factors of a possibly unstable transfer function from closed-loop frequency domain experimental data. A stochastic framework has been adopted. The dual Youla
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周彤, TONG ZHOU†
INT. J. CONTROL, 2000, VOL. 73, NO.5, 391-406,-0001,():
-1年11月30日
This paper deals with the problem of estimating the probability under which a model set is not falsified by a set of measured plant frequency response samples. A definition of sample unfalsified probability has been proposed, and an explicit formula has been derived. Computation issues are also discussed. Moreover, an ecient algorithm has been developed for sample unfalsified probability calculation. Monte Carlo simulations show that the defined sample unfalsi-fied probability is appropriate in the evaluation of the quality of a model set. Compared with the deterministic approach, simulation results suggest that the probabilistic approach is more suitable in model set validation.
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【期刊论文】Estimation of 1/f Signals on the Basis of Curve Fitting
周彤, Tong Zhou
IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 48, NO.3, MARCH 2000,-0001,():
-1年11月30日
In this paper, an algorithm is proposed for the identification of fractal signals with wavelet-based models from corrupted data. This algorithm is based on curve fitting and wavelet transformation. It is proved that whenever is greater than 0, the algorithm provides an almost consistent estimation. oreover, the estimated parameters are asymptotically Gaussian distributed. A mean-square asymptotic convergence rate of the estimated parameters has also been established. Simulation results verify the efficiency of the proposed algorithm.
Asymptotic Gaussian distribution,, convergence rate,, curve fitting,, 1/, f signal,, wavelet transformation.,
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【期刊论文】Model Set Determination and its Application to the Control of Compact Disc Players*
周彤, T. Zhout, H. G. M. Dotsch, P. M. J. Van den Hof
European Journal of Control (1998) 4: 99-115,-0001,():
-1年11月30日
This paper deals with the problem of obtaining a plant nominal model and its error uncertainty bound when a batch of plant models is provided. While the selection of model set structure is essential and probably depends on the model intended application, in this paper it is assumed that a nominal model is perturbed by its error through a homographic transformation. A necessary and sufficient condition is obtained for a nominal model to be suboptimal. Moreover, an algorithm is proposed to obtain a nominal model which is suboptimal and has a low complexity. Furthermore, the extraction of structured nominal model errors is discussed. The efficiency of the proposed model set determination algorithm is verified through the application to the simultaneous spiral control of two compact disc players.
Compact disc player, Error bound, Homographic transformation, Nominal model, Robust control
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【期刊论文】A Parameterization of All the Unfalsified Plant Models for MIMO Systems
周彤, Tong Zhou
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 43, NO.1, JANUARY 1998,-0001,():
-1年11月30日
In this paper, the results on the parameterization of all the unfalsified models for single-input/single-output systems are extended to multi-input/multi-output systems. In this arameterization, the assumed a priori plant and noise information are upper bounds of the Hx-norm of the plant matrix-valued transfer function and the noise magnitude. The parameterization is on the basis of several series of plant time-domain identification experiment data. It is shown that for multi-input/multi-output systems, all the unfalsified plant matrix-valued transfer functions can still be expressed by the linear fractional transformation of a fixed matrix-valued transfer function and an Hx-norm bounded structure fixed, but uncertain matrix-valued transfer function. However, the high dimensions of the matrix-valued transfer functions involved in the parameterization hamper the direct application of these results to robust controller design. To overcome these difficulties, further efforts are needed.
Extrapolation,, linear fractional transformation,, robust control-oriented identification,, unfalsified plant model.,
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