The quasilinearization technique used for state and parameter identification to nonlinear system is studied via block-pulse functions. Making use of the integral properties of block-pulse functions, an algorithm is pr...
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The quasilinearization technique used for state and parameter identification to nonlinear system is studied via block-pulse functions. Making use of the integral properties of block-pulse functions, an algorithm is presented which reduces the well known quasilinearization technique to that of solving a set of algebraic equations. These results appear to simplify the numerical effort involved in solving state and parameter estimation problems.
The problem of order determination and parameter estimation of single-input-single-output (SISO) continuous-time systems from input-output measurements are discussed. It is shown that when the order of the system is k...
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The problem of order determination and parameter estimation of single-input-single-output (SISO) continuous-time systems from input-output measurements are discussed. It is shown that when the order of the system is known a priori, a consistent parameter estimator can be obtained by applying the ideas of extended least squares method and instrumental variable method to a discrete-time model which is derived via block-pulse functions. Order determination schemes for both the noise-free case and the noisy case are also developed. Numerical examples are also given to show the effectiveness of the proposed methods.
Reference is made to paper 2679D left bracket IEE Proc. D, Control Theory & Appl. , 1983, 130, (5), pp. 250-254 right bracket by C. Hwang, T. -Y. Guo and Y. -P. Shih. It is claimed that certain citations from the ...
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Reference is made to paper 2679D left bracket IEE Proc. D, Control Theory & Appl. , 1983, 130, (5), pp. 250-254 right bracket by C. Hwang, T. -Y. Guo and Y. -P. Shih. It is claimed that certain citations from the literature were left out. A response by the original authors is included.
The operational matrix for performing integration of block-pulse functions is extended to inverse multidimensional Laplace transforms. The inversion algorithm only consists of two simple algebraic operations: multidim...
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The operational matrix for performing integration of block-pulse functions is extended to inverse multidimensional Laplace transforms. The inversion algorithm only consists of two simple algebraic operations: multidimensional bilinear transformation and long division of multivariable polynomials. The method is very suitable for computer programming.
This paper presents a new method based on the block-pulse operator(BPO) for identifying unknown parameters in distributed parameter systems(DPS). The basic idea of the method is to convert the identification problem o...
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This paper presents a new method based on the block-pulse operator(BPO) for identifying unknown parameters in distributed parameter systems(DPS). The basic idea of the method is to convert the identification problem of the DPS in original function space into that of the algebraic systems in image space of the BPO. With the BPO, this method can deal with a variety of types of the DPS and it leads to the recursive algorithm of identification parameters. The algorithm has a simple form and very convenient for computation. Computational examples are given to illustrate the application of this method in the first order DPS and the second order DPS.
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