• Title/Summary/Keyword: partial state feedback

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Design of nonlinear optimal regulators using lower dimensional riemannian geometric models

  • Izawa, Yoshiaki;Hakomori, Kyojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.628-633
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    • 1994
  • A new Riemannian geometric model for the controlled plant is proposed by imbedding the control vector space in the state space, so as to reduce the dimension of the model. This geometric model is derived by replacing the orthogonal straight coordinate axes on the state space of a linear system with the curvilinear coordinate axes. Therefore the integral manifold of the geometric model becomes homeomorphic to that of fictitious linear system. For the lower dimensional Riemannian geometric model, a nonlinear optimal regulator with a quadratic form performance index which contains the Riemannian metric tensor is designed. Since the integral manifold of the nonlinear regulator is determined to be homeomorphic to that of the linear regulator, it is expected that the basic properties of the linear regulator such as feedback structure, stability and robustness are to be reflected in those of the nonlinear regulator. To apply the above regulator theory to a real nonlinear plant, it is discussed how to distort the curvilinear coordinate axes on which a nonlinear plant behaves as a linear system. Consequently, a partial differential equation with respect to the homeomorphism is derived. Finally, the computational algorithm for the nonlinear optimal regulator is discussed and a numerical example is shown.

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The Design of Sliding Mode Controller with Sliding Perturbation Observer for a Robust Control of Stewart Platform Manipulator (스튜어트 플랫폼의 견실제어를 위한 슬라이딩 섭동 관측기를 갖는 슬라이딩 모드 제어기 개발)

  • You, Ki-Sung;Park, Min-Kyu;Lee, Min-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.8
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    • pp.639-648
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    • 2002
  • The stewart platform manipulator is a manipulator that has the closed-loop structure with an upper plate end-effector and a base frame. The stewart platform manipulator has the merit of high working accuracy and high stiffness compared with a serial manipulator. However, this is a complex structure, so controllability of the system is not so good. In this paper, we introduce a new robust motion control algorithm using partial state feedback for a class of nonlinear systems in the presence of modelling uncertainties and external disturbances. The major contribution of this work introduces the development and design of robust observer for the state and the perturbation, which is integrated into a variable structure controller(VSC) structure. The combination of controller/observer improves the control performance, because of the robust routine called sliding mode control with sliding perturbation observer(SMCSPO). Simulation and experiment are performed to apply to the manipulator. And their results show a high accuracy and a good performance.

Adaptive Bit-Interleaved Coded OFDM over Time-Varying Channels (시변 채널에서 Bit-Interleaved Coded OFDM을 위한 적응 변조 기법)

  • Choi, Jin-Soo;Sung, Chang-Kyung;Moon, Sung-Hyun;Lee, In-Kyu
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.1
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    • pp.32-39
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    • 2009
  • When adapting the transmitter to the channel state information(CSI), improved transmission is possible compared to the open loop system where no CSI is provided at the transmitter. However, since the perfect channel information is rarely available at the transmitter, the system design based on the partial CSI becomes an important factor. Especially, in mobile environments, the consideration for the outdated CSI should be applied for mitigating the performance degradation. In this paper, we propose a robust adaptive modulation and coding scheme for bit-interleaved coded orthogonal frequency division multiplexing over time-varying channels. With reasonable feedback overhead, the proposed scheme shows the enhanced performance by compensating for the outdated CSI due to Doppler spread. Simulation results confirm that the performance gain is achieved by applying an accurate BER estimation method.