The paper reviews and discusses conditions (some necessary, some sufficient) involved in the polynomial optimization of stochastic control for unstable plants.
The paper reviews and discusses conditions (some necessary, some sufficient) involved in the polynomial optimization of stochastic control for unstable plants.< >
The polynomial approach to Wiener filter design is discussed, using a simple prototype problem. An overview is also given over MSE (or H/sub 2/) filtering problems where this approach has been used. Furthermore, a new...
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The polynomial approach to Wiener filter design is discussed, using a simple prototype problem. An overview is also given over MSE (or H/sub 2/) filtering problems where this approach has been used. Furthermore, a new simple way of deriving the relevant polynomial equations is presented.< >
Considers how solution of the standard H/sub infinity / optimalcontrol problem may be reduced to a line search where at each stage two polynomial J-spectral factorizations need be performed. The theory is related to ...
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Considers how solution of the standard H/sub infinity / optimalcontrol problem may be reduced to a line search where at each stage two polynomial J-spectral factorizations need be performed. The theory is related to but distinct from the J-spectral factorisation approach to H/sub infinity / optimization developed by Green (1989). The author recapitulates the algorithm.< >
Reviews and summarises the major advances made in the polynomial equation approach to H/sub 2/ optimisation during the 1980s for multivariable systems. Some of the latest research in this field is also summarised; the...
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Reviews and summarises the major advances made in the polynomial equation approach to H/sub 2/ optimisation during the 1980s for multivariable systems. Some of the latest research in this field is also summarised; the author presents new results concerned with the solution of the H/sub 2/-optimalcontrol problem for the 'standard' control structure.< >
polynomial techniques have been used previously to handle also n-D signals and systems (n>or=2). In the paper, some attempts to solve n-D quadratic exercises by means of polynomialmethods are sketched to illustrat...
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polynomial techniques have been used previously to handle also n-D signals and systems (n>or=2). In the paper, some attempts to solve n-D quadratic exercises by means of polynomialmethods are sketched to illustrate various problems encountered in the area. For brevity, only the case of n=2 is described.< >
It is well known that the least-squares or extended least-squares identification algorithms can be derived directly from Kalman filter results. That is, the identification of a linear system, represented in polynomial...
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It is well known that the least-squares or extended least-squares identification algorithms can be derived directly from Kalman filter results. That is, the identification of a linear system, represented in polynomial system form, can be accomplished by use of a Kalman filtering algorithm. The objective of the paper is to show the H/sub infinity / filter algorithm can also be used for such a purpose. The advantage of the approach is illustrated by use of examples. The application of the technique in self-tuning control systems offers additional response and robustness properties which can be varied depending on the scalar gamma .< >
Least squares solutions of linear equation occur in adaptive antennas, frequency filters and Kalman filters and Kalman filters. There is now the possibility of economic parallel processing to solve such equations and ...
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Least squares solutions of linear equation occur in adaptive antennas, frequency filters and Kalman filters and Kalman filters. There is now the possibility of economic parallel processing to solve such equations and in this paper the application of systolic arrays to these areas is discussed.< >
An iterative procedure based on the Newton-Raphson process for the factorisation (splitting) of a real-coefficient polynomial into two lower-degree polynomials is described in summary, and the method extended to the c...
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An iterative procedure based on the Newton-Raphson process for the factorisation (splitting) of a real-coefficient polynomial into two lower-degree polynomials is described in summary, and the method extended to the case where the Jacobian matrix is not updated at each iteration (a 'Quasi-Newton' process). It is demonstrated that a faster process results, and that in the case of a particular class of problems, an optimal rate of update of the Jacobian matrix can be determined. the modified convergence criteria are examined but without proof at this stage.< >
The LQG controller can be used to avoid some of the problems with existing self-tuning schemes for complex industrial problems. The LQG controller gives a better performance than PID controllers for open loop unstable...
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The LQG controller can be used to avoid some of the problems with existing self-tuning schemes for complex industrial problems. The LQG controller gives a better performance than PID controllers for open loop unstable large tankers. It is very difficult to adequately control such systems using a simple three term PID controller. The optimalcontroller can be computed from two spectral factor equations and three diophantine equations. In the adaptive version described here only one spectral factorisation must be performed. The LQG optimalcontrol design method can be used to derive an explicit adaptive scheme by adding the indentification of the plant and disturbance models. The identification scheme differs from the usual methods employed in self-tuning systems which normally involve a common denominator polynomial. This paper is concerned with the implementation aspects of the above adaptive schemes.
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