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Transactions of the Institute of Systems, Control and Information Engineers Vol. 30 (2017), No. 12

ISIJ International
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ONLINE ISSN: 2185-811X
PRINT ISSN: 1342-5668
Publisher: THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

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Transactions of the Institute of Systems, Control and Information Engineers Vol. 30 (2017), No. 12

An Improvement by Unstable Controller in Disturbance Suppression Performance of Two-inertia System with Low Stiffness and High Inertia Ratio

Makoto Takayama, Yasuhide Kobayashi

pp. 446-458

Abstract

In order to improve control performance given by stable controller for disturbance suppression problem of two-inertia system with low stiffness and high inertia ratio, this paper proposes a simple structure of controller which has a similar characteristic of unstable controller given by H control design. The proposed controller has two tunable parameters, and a tuning procedure to minimize the closed-loop gain with desired stable margins is given, by which the proposed controller can be easily adjusted when physical parameters are changed. The optimal closed-loop gain by conventional control method (proportional control) and an rate of improvement by proposed method are theoretically given in terms of physical parameters of plant. The validity of the proposed method is shown by experimental results.

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Article Title

An Improvement by Unstable Controller in Disturbance Suppression Performance of Two-inertia System with Low Stiffness and High Inertia Ratio

Noise-Induced Phenomena in the Kaldor Business Cycle Model

Sou Nobukawa, Ryohei Hashimoto, Haruhiko Nishimura, Teruya Yamanishi, Masaru Chiba

pp. 459-466

Abstract

The periodic behavior of macroeconomic indicators or business cycles is a common observation in the economic system. In the past, business cycle modeling often involved the use of non-linear economic dynamic theory, general equilibrium theory, and methods to analyze complex systems, such as agent-based modeling and complex network theory. Several studies have shown that crisis and synchronization in business cycles can be modeled using threshold characteristics in the economic systems. In a non-linear system, it is well known that additive noise leads to qualitative transformations in system behavior, such as coherence resonance, stochastic resonance, and noise-induced transitions (referred to as noise-induced phenomena in this study). Recent studies have shown that noise-induced transitions arise in the non-linear economic business cycle model with multiple attractors around the sub-critical Hopf bifurcation. However, the relationship between the threshold characteristics in the economic dynamics and noise-induced phenomena has not been studied. In this study, we focus on the threshold characteristic of the Kaldor business cycle model under the bias of income, and show that coherence resonance and stochastic resonance can be produced as an effect of this threshold characteristic.

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Noise-Induced Phenomena in the Kaldor Business Cycle Model

Agent-based Simulation of Retailers under Competitive Environment using Classifier System

Shinya Sekizaki, Ichiro Nishizaki, Tomohiro Hayashida

pp. 467-479

Abstract

This paper presents a novel simulation system to analyze adaptive behaviors of agents in a deregulated electricity retail market. We develop a learning framework which enables the agents to autonomously acquire the action rules. In this paper, the XCS (extended classifier system) is employed as a learning algorithm of the agents. XCS can efficiently generate action rules in the dynamic environment such as the deregulated retail market affected by the interaction among many agents. The artificial retail market shows complicated behavior by the interaction among the agents, and therefore the agent-based simulation can provide some technical findings due to the interactions among autonomous agents which are not always rational in a sense of optimal behaviors. We provide new insights based on the behavior analysis of the agents in the artificial retail market simulation.

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Agent-based Simulation of Retailers under Competitive Environment using Classifier System

Bilateral Control System of Nonlinear Master-Slave Arms with Time-Varying Delay Considering Contact with Obstacles

Masaharu Yagi, Yuichi Sawada

pp. 480-488

Abstract

The bilateral control system of the nonlinear flexible master-slave arms with the time-varying delay is investigated in this research. Moreover, it is considered that the nonlinear flexible slave arm contacts with the obstacle during the motion. The master arm is considered as the rigid arm and a high-geared servomotor is introduced to drive the flexible slave arm. The network between the master arm and the slave arm causes the time-varying delay. The PD- and PDS-controllers are designed for controlling the master and slave arms. By means of the Lyapunov theorem, the stability and the passivity included the contact force are proved. Finally, the performance of the proposed system is investigated by using numerical simulations.

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Bilateral Control System of Nonlinear Master-Slave Arms with Time-Varying Delay Considering Contact with Obstacles

Formation Control of Quadrotors Based on Interconnected Positive Systems

Jun-ichi Toji, Hiroyuki Ichihara

pp. 489-496

Abstract

This paper deals with formation control of quadrotors based on interconnected positive linear systems. One of the applications of interconnected positive linear systems is formation control including switching of SISO positive and stable linear subsystems. However, mechanical systems such as quadrotors are neither linear nor positive. This paper proposes an extended feedback linearization technique that is able to convert the dynamics of the reference point of a quadrotor, a virtual rigid body dynamics, into four double integrators with respect to the reference point in the space and yaw angle. In contrast to traditional exact feedback linearization techniques, the extended feedback linearization technique of the quadrotor does not require the jerk to be estimated. The extended feedback linearization and a local linear feedback law are employed to transform each coordinate of the reference point into a SISO positive and stable subsystem. As a result, the reference points as well as the mass centers of the quadrotors achieve formation in the framework of interconnected positive linear systems. The results are illustrated by numerical examples.

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Article Title

Formation Control of Quadrotors Based on Interconnected Positive Systems

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