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- Hayato Nakada, Kiyotsugu Takaba, Tohru Katayama
- Automatica
- 2005

This paper is concerned with the identification of a class of piecewise affine systems called a piecewise affine autoregressive exogenous (PWARX) model. The PWARX model is composed of ARX sub-models each of which corresponds to a polyhedral region of the regression space. Under the temporary assumption that the number of sub-models is known a priori, the… (More)

- Giorgio Picci, Tohru Katayama
- Signal Processing
- 1996

- Tohru Katayama, Giorgio Picci
- Automatica
- 1999

- Tohru Katayama, Hideyuki Tanaka
- Automatica
- 2007

A method of identifying closed-loop systems is developed by using the orthogonal decomposition (ORT) method. The idea is to project the input and output data onto the space of exogenous inputs by using the LQ decomposition to obtain their deterministic components. The ORT-based method is then applied to deterministic components like the direct approach in… (More)

- Atsushi Kawamoto, Tohru Katayama
- Automatica
- 2002

We develop a closed loop subspace identification method based on stochastic realization theory. Using the preliminary orthogonal decomposition of (Picci and Katayama, 1996b) we show that, under the assumption that the exogenous input is feedback-free and persistently exciting (PE), the identification of closed loop systems is divided into two subproblems:… (More)

A new stochastic subspace identification algorithm is developed with the help of a stochastic realization on a finite interval. First, a finite-interval realization algorithm is rederived via “block-LDL decomposition” for a finite string of complete covariance sequence. Next, a stochastic subspace identification method is derived by adapting the… (More)

In this paper, we consider a stochastic realization problem with finite covariance data based on “LQ decomposition” in a Hilbert space, and re-derive a non-stationary finite-interval realization ([4, 5]). We develop a new algorithm of computing system matrices of the finiteinterval realization by LQ decomposition, followed by the SVD of a certain block… (More)

- Tohru Katayama, Hidetoshi Kawauchi, Giorgio Picci
- Automatica
- 2005

In this paper, we consider a problem of identifying the deterministic part of a closed loop system by applying the stochastic realization technique of (Signal Process. 52 (2) (1996) 145) in the framework of the joint input–output approach. Using a preliminary orthogonal decomposition, the problem is reduced to that of identifying the plant and controller… (More)

- Kiyotsugu Takaba, Tohru Katayama
- Automatica
- 1998

This paper solves the H2 output feedback control problem for continuous-time descriptor systems. An existence condition of the H2 optimal controller is derived based on the standard model matching technique, and a characterization of the optimal controller is given in terms of the solutions of two generalized algebraic Riccati equations. It turns out that… (More)