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1
Content available remote A matrix inequality based design method for consensus problems in multi-agent systems
Zhai G., Okuno S., Imae J., Kobayashi T.
International Journal of Applied Mathematics and Computer Science
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2009
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Vol. 19, no 4
639-646
EN
In this paper, we study a consensus problem in multi-agent systems, where the entire system is decentralized in the sense that each agent can only obtain information (states or outputs) from its neighbor agents. The existing design methods found in the literature are mostly based on a graph Laplacian of the graph which describes the interconnection structure among the agents, and such methods cannot deal with complicated control specification. For this purpose, we propose to reduce the consensus problem at hand to the solving of a strict matrix inequality with respect to a Lyapunov matrix and a controller gain matrix, and we propose two algorithms for solving the matrix inequality. It turns out that this method includes the existing Laplacian based method as a special case and can deal with various additional control requirements such as the convergence rate and actuator constraints.
2
Content available Possibility for the application of publications analysis to evaluation of research institutes
Kobayashi T., Ogata S.
Journal of Telecommunications and Information Technology
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2007
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nr 4
59-62
EN
This study looks at the possibility of using publications analysis, which has been used by companies as a basic survey method for formulating publications strategies, as a quantitative index for evaluating researches conducted by national universities. The study also describes the reality of public outreach toward Japanese society, being carried out by research institutes such as universities, through publications analysis.
3
Content available remote Hybrid stabilization of discrete-time LTI systems with two quantized signals
Zhai G., Matsumoto Y., Chen X., Imae J., Kobayashi T.
International Journal of Applied Mathematics and Computer Science
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2005
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Vol. 15, no 4
509-516
EN
We consider stabilizing a discrete-time LTI (linear time-invariant) system via state feedback where both the quantized state and control input signals are involved. The system under consideration is stabilizable and stabilizing state feedback has been designed without considering quantization, but the system’s stability is not guaranteed due to the quantization effect. For this reason, we propose a hybrid quantized state feedback strategy asymptotically stabilizing the system, where the values of the quantizer parameters are updated at discrete time instants. We also extend the result to the case of static output feedback.
4
Content available remote Adaptive stabilization of infinite-dimensional undamped second order systems without velocity feedback
Kobayashi T., Oya M.
Archives of Control Sciences
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2004
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Vol. 14, no. 1
73-84
EN
In this paper adaptive stabilization of infinite-dimensional undamped second order systems is considered in the case where the input and output operators are collocated. the systems may have an infinite number of poles, and zeros on the imaginary axis. In the case where only position feedback is available, a parallel compensator is effective. The stabilizer is constructed by an adaptive p-controller for the augmented system which consists of the controlled system and a parallel compensator. The asymptotic stsbility of the closed-loop system is proved by LaSalle's invariance pronciple under compactness of the resolvent.
5
Content available Nonlinear boundary control of coupled Burgers' equations
Kobayashi T., Oya M.
Control and Cybernetics
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2003
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Vol. 32, no 2
245-258
EN
This paper is concerned with adaptive stabilization of two coupled viscous Burgers' equations by nonlinear boundary controllers. Under the existence of bounded deterministic disturbances, the adaptive controllers are constructed by the concept of high-gain nonlinear output feedback and the estimation mechanism of the unknown parameters. In the controlled system the global stability and the convergence of the system states to zero will be guaranteed. It is shown that the theory can be generalized to the systems with higher-order nonlinearity.
6
Content available Adaptive stabilization of undamped flexible structures
Kobayashi T.
Control and Cybernetics
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2001
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Vol. 30, no 4
419-429
EN
In this paper non-identifier-based adaptive stabilization of undamped flexible structures is considered in the case of collocated input and output operators. The systems have poles and zeros on the imaginary axis. In the case where velocity feedback is available, the adaptive stabilizer is constructed by an adaptive PD-controller (proportional plus derivative controller). In the case where only position feedback is available, the adaptive stabilizer is constructed by an adaptive P-controller for the augmented system which consists of the controlled system and a parallel compensator. Numerical examples are given to illustrate the effectiveness of the proposed controllers.
7
Content available remote Low gain adaptive stabilization of undamped second order systems
Kobayashi T.
Archives of Control Sciences
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2001
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Vol. 11, no. 1/2
63-75
EN
In this paper low-gain adaptive stabilization of undamped second order systems is considered in the case of collocated input and output operators. The systems have poles and zeros on the imaginary axis. In the case where velocity feedback is available, the adaptive stabilizer is constructed by an adaptive low-gain PD-controller (proportional plus derivative controller). In the case where only position feedback is available, the adaptive stabilizer is constructed by a low-gain adaptive P-controller for the augmented system which consists of the controlled system and a parallel compensator. Numerical examples are given to illustrate the effectiveness of the proposed controllers
8
Content available remote Some remarks on adaptive stabilization of infinite-dimensional second order systems
Kobayashi T.
Archives of Control Sciences
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2000
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Vol. 10, no. 1/2
5-16
EN
In this paper adaptive stabilization of infinite-dimensional undamped second order systems is considered in the case of the input and output operators being collocated. The advantage of the adaptive law is that good control performance can be automatically achieved even in the presence of various types of uncertainties. The adaptive stabilizer is constructed by the concept of high-gain output feedback. An energy-like function and a multiplier function are introduced and adaptive stabilization of the linear second order systems is analyzed. It is shown that the theory of adaptive stabilization can be also applied to some nonlinear systems.
9
Content available remote Some remarks on pole assignability of distributed parameter systems
Kobayashi T.
Archives of Control Sciences
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1998
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Vol. 7, no. 1/2
33-41
EN
The pole assignment problem of distributed parameter systems with unbounded feedback is discussed. The problem can be solved under a weaker restriction between the open-loop poles { lambda /sub n/} and the closed-loop poles { beta /sub n/}. Two types of the expression of a characteristic equation whose roots are the closed-loop poles are first given. Next a feedback element is given which realizes the desired pole assignment of the closed-loop system. An interesting result is shown that an infinite number of the open-loop poles { lambda /sub n/} can be shifted such that | lambda /sub n/- beta /sub n/|=O(| lambda /sub n/|/sup (1- epsilon /2)/) ( epsilon : sufficiently small positive number) for all n.
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