Jiro Shimonishi

Stabilization of 2D filters using 2D observers

The extension of Luenbergers observer theory to 2D systems is considered. Equations are developed for the design of 2D observers Conditions are given for the use of these observers in the stabilization of 2D systems through state feedback.

Balanced realization and model reduction of 3-D separable-denominator transfer functions

Abstract After showing a necessary and sufficient condition to be separately locally controllable and separately locally observable, controllability and observability Gramians are introduced for a three-dimensional (3-D) separable-denominator stat-space model. A technique is then developed for realizing a 3-D minimal state-space model in balanced form from a given 3-D rational transfer function with separable denominator. This technique is applicable to the model reduction of 3-D separable-denominator digital filters.

Observers for 2‐D systems with unknown disturbance

This paper considers the problem of designing an observer for the Roesser state-space model with unknown disturbance. After showing the minimal order for the existence of an observer, a necessary and sufficient condition for a minimal-order potential observer to decouple unknown disturbance is given. Furthermore, a sufficient condition for a minimal-order potential observer to be stabilizable is examined. Finally, an algorithm is presented for designing a disturbance decoupled observer. This algorithm is applicable to 2-D systems without unknown disturbance as the special case.

Design of a performance-driven model predictive PID controller

PID controllers have been widely used for various process control systems represented by chemical processes. Recently, from viewpoint of productivity improvement and cost reduction, it has demands to establish the PID controller retained a desirable performance over time on steady-state in spite of changes in the system property. In this paper, a design of performance-driven model predictive PID controller is proposed, which automatically adjusts the user-specified parameter within the GPC-PID controller based on the control performance assessment. According to the proposed algorithm, the PID controller is re-tuned in order to obtain desirable system performance only if the practically performance index to assess control loop exceeds a user-defined threshold. The effectiveness of the proposed control scheme is numerically evaluated by a computer simulation example.

Two-dimensional disturbance decoupled observers

A procedure is developed for the design of a minimal-order observer capable of estimating the states of a two-dimensional system in the presence of unknown inputs. This is done using singular-value decomposition. The assignment of eigenvalues to the observer is facilitated by choosing the observer structure.

Observers for 2-D systems with unknown disturbance: Observers for 2-D systems with unknown disturbance

This paper considers the problem of designing an observer for the Roesser state-space model with unknown disturbance. After showing the minimal order for the existence of an observer, a necessary and sufficient condition for a minimal-order potential observer to decouple unknown disturbance is given. Furthermore, a sufficient condition for a minimal-order potential observer to be stabilizable is examined. Finally, an algorithm is presented for designing a disturbance decoupled observer. This algorithm is applicable to 2-D systems without unknown disturbance as the special case.