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Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P1)

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Practically , it is certainly one of the greater discoveries in the history of statistical estimation theory and possibly the greatest discovery in the twentieth century. The purpose of this book is to make you suf®ciently familiar with and pro®cient in the use of the Kalman. Some of the problems encountered in its use arise from the distinction between ®nite...

Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P2)

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The dependent variables of the differential equations become state variables of the dynamic system. They explicitly represent all the important characteristics of the dynamic system at any time.. This chapter will stick to just those concepts that are essential for that purpose, which is the development of the state- space representation for dynamic systems described by systems of linear differential...

Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P3)

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The results are models for deterministic mechanics, in which the state of every component of the system is represented and propagated explicitly.. Consequently, this other approach focuses on the ensemble statistical properties of the system and treats the underlying dynamics as a random process. The results are models for statistical mechanics, in which only the ensemble statistical properties of the...

Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P4)

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Prediction is dif®cultÐespecially of the future.. The objective will be to ®nd an estimate of the n state vector x k represented by x ^ k , a linear function of the measurements z i. Predictors use observations strictly prior to the time that the state of the dynamic system is to be estimated:. Filters use observations up to and...

Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P5)

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That is, the functional dependences of the measurement or state dynamics on the system state are nonlinear, but approximately linear for small perturbations in the values of the state variables.. Methods of linear estimation theory can be applied to such nonlinear problems by linear approximation of the effects of small perturbations in the state of the nonlinear system from a...

Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P6)

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Unchecked error propagation in the solution of the Riccati equation is a major cause of degradation in ®lter performance.. The operation of the Kalman ®lter can be speeded up, if necessary, by performing some operations in parallel. 2 The mantissa is the part of the binary representation starting with the leading nonzero bit. Entering ``-log2(eps)''should return the number of bits...

Lọc Kalman - lý thuyết và thực hành bằng cách sử dụng MATLAB (P7)

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Roundoff errors are not the only causes for the failure of the Kalman ®lter to achieve its theoretical performance. The inverse of the matrix HPH T ‡ R. The covariance equations of the Kalman ®lter provide an analytical basis for the predictive design of systems to estimate the state of dynamic systems. n, the norm of the differences kZ k...