Recursive subspace identification based on instrumental variable unconstrained quadratic optimization
نویسندگان
چکیده
The problem of the recursive formulation of the MOESP class of subspace identification algorithms is considered and two novel instrumental variable approaches are introduced. The first one leads to an RLS-like implementation, the second to a gradient type iteration. The relative merits of both approaches are analysed and discussed, while simulation results are used to compare their performance with the one of existing techniques.
منابع مشابه
Convergence analysis of instrumental variable recursive subspace identification algorithm∗
The convergence properties of recently developed recursive subspace identification methods are investigated in this paper. The algorithms operate on the basis of instrumental variable (IV) versions of the propagator method for signal subspace estimation. It is proved that, under suitable conditions on the input signal and the system, the considered recursive subspace identification algorithms c...
متن کاملConvergence analysis of instrumental variable recursive subspace identification algorithms
The convergence properties of a recently developed recursive subspace identification algorithm are investigated in this paper. The algorithm operates on the basis of an extended instrumental variable (EIV) version of the propagator method for signal subspace estimation. It is proved that, under weak conditions on the input signal and the identified system, the considered MOESP class of recursiv...
متن کاملRecursive System Identification
In this paper a recursive instrumental variable (IV) based subspace identiication algorithm is proposed. The basic idea of the algorithm is to utilize the close relationship with sensor array signal processing. Utilizing this relationship, an IV based subspace tracking algorithm originally developed for direction of arrival tracking is applied to track the subspace spanned by the observability ...
متن کاملInstrumental variable subspace tracking using projection approximation
Subspace estimation plays an important role in, for example, sensor array signal processing. Recursive methods for subspace tracking, with obvious applications to non-stationary environments, have also drawn considerable interest. In this paper we present an Instrumental Variable (IV) extension of the recently developed Projection Approximation Subspace Tracking (PAST) algorithm. The IV-approac...
متن کاملN2SID: Nuclear norm subspace identification of innovation models
The identification of multivariable state space models in innovation form is solved in a subspace identification framework using convex nuclear norm optimization. The convex optimization approach allows to include constraints on the unknown matrices in the data-equation characterizing subspace identification methods, such as the lower triangular block-Toeplitz of weighting matrices constructed ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004