Automatica (Journal of IFAC) - Special issue on statistical signal processing and control
N4SID: subspace algorithms for the identification of combined deterministic-stochastic systems
Automatica (Journal of IFAC) - Special issue on statistical signal processing and control
Statistical analysis of novel subspace identification methods
Signal Processing - Special issue: subspace methods, part II: system identification
On Consistency of Subspace Methods for System Identification
Automatica (Journal of IFAC)
Consistency and asymptotic normality of some subspace algorithms for systems without observed inputs
Automatica (Journal of IFAC)
Analysis of the asymptotic properties of the MOESP type of subspace algorithms
Automatica (Journal of IFAC)
The role of vector autoregressive modeling in predictor-based subspace identification
Automatica (Journal of IFAC)
Journal of Multivariate Analysis
Automatica (Journal of IFAC)
A novel subspace identification approach with enforced causal models
Automatica (Journal of IFAC)
Asymptotic properties of subspace estimators
Automatica (Journal of IFAC)
Numerical conditioning and asymptotic variance of subspace estimates
Automatica (Journal of IFAC)
On the ill-conditioning of subspace identification with inputs
Automatica (Journal of IFAC)
Hi-index | 22.16 |
In this paper the effect of some weighting matrices on the asymptotic variance of the estimates of linear discrete time state space systems estimated using subspace methods is investigated. The analysis deals with systems with white or without observed inputs and refers to the Larimore type of subspace procedures. The main result expresses the asymptotic variance of the system matrix estimates in canonical form as a function of some of the user choices, clarifying the question on how to choose them optimally. It is shown, that the CCA weighting scheme leads to optimal accuracy. The expressions for the asymptotic variance can be implemented more efficiently as compared to the ones previously published.