Moreira, Manoel R., Júnior, Edson I.Mainardi, Esteves, Talita T., Teixeira, Marcelo C.M., Cardim, Rodrigo, Assunção, Edvaldo, Faria, Flávio A. (2010)
Mathematical Problems in Engineering
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Takao Nambu (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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The celebrated 1967 pole assignment theory of W. M. Wonham for linear finite-dimensional control systems has been applied to various stabilization problems both of finite and infinite dimension. Besides existing approaches developed so far, we propose a new approach to feedback stabilization of linear systems, which leads to a clearer and more explicit construction of a feedback scheme.
Chaabane, M., Tadeo, F., Mehdi, D., Souissi, M. (2011)
Mathematical Problems in Engineering
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Fouad M. AL-Sunni, Frank L. Lewis (1998)
Kybernetika
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A design technique for the stabilization of linear systems by one constant output-feedback controller is developed. The design equations are functions of the state and the control weighting matrices. An example of the stabilization of an aircraft at different operating points is given.
Ke Ding, Qing-Long Han (2015)
Kybernetika
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This paper is concerned with synchronization of two coupled Hind-marsh-Rose (HR) neurons. Two synchronization criteria are derived by using nonlinear feedback control and linear feedback control, respectively. A synchronization criterion for FitzHugh-Nagumo (FHN) neurons is derived as the application of control method of this paper. Compared with some existing synchronization results for chaotic systems, the contribution of this paper is that feedback gains are only dependent on system...
Guisheng Zhai, Ning Chen, Weihua Gui (2009)
Kybernetika
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In this paper, we study decentralized feedback control systems with quantized signals in local input-output (control) channels. We first assume that a decentralized output feedback controller has been designed for a multi-channel continuous-time system so that the closed-loop system is Hurwitz stable and a desired disturbance attenuation level is achieved. However, since the local measurement outputs are quantized by a general quantizer before they are passed to the controller, the...
Guisheng Zhai, Yuuki Matsumoto, Xinkai Chen, Joe Imae, Tomoaki Kobayashi (2005)
International Journal of Applied Mathematics and Computer Science
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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...
Rafal Goebel, Andrew R. Teel (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.