论文信息 - General Structured Observers for Discrete-Time Linear Systems

General Structured Observers for Discrete-Time Linear Systems

A class of general structured discrete-time deterministic observers is developed. The one-step predicting or Luenberger observers and the current-update observers may be obtained from this class of general structured observers. Interesting relationships and important properties among various full-order observers are established. Optimal discrete-time observer gains are then derived, and it is shown that the optimal observers can be structually and numerically equivalent to various forms of Kalman filters.

K. C. Cheok | N. K. Loh | R. R. Beck

[1] D. Luenberger. An introduction to observers , 1971 .

[2] D. Luenberger. Observers for multivariable systems , 1966 .

[3] B. Gopinath. On the control of linear multiple input-output systems , 1971 .

[4] J. Brewer. The gradient with respect to a symmetric matrix , 1977 .

[5] J. Willems. Optimal state reconstruction algorithms for linear discrete-time systems , 1980 .

[6] Hans P. Geering. On calculating gradient matrices , 1976 .

[7] Jacques L. Willems. Design of state observers for linear discrete-time systems , 1980 .

[8] D. Luenberger. Observing the State of a Linear System , 1964, IEEE Transactions on Military Electronics.

[9] F. Schweppe,et al. GRADIENT MATRICES AND MATRIX CALCULATIONS , 1965 .

[10] R. E. Kalman,et al. New Results in Linear Filtering and Prediction Theory , 1961 .

[11] W. Wonham. On pole assignment in multi-input controllable linear systems , 1967 .

[12] L. Novak. Discrete-Time Optical Stochastic Observers , 1976 .

[13] Michael Athans,et al. The Matrix Minimum Principle , 1967, Inf. Control..