• Title/Summary/Keyword: simultaneous stabilization

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Simultaneous stabilization via static ouput feedback using an LMI method (LMI를 이용한 정적출력궤환 동시안정화 제어기 설계)

  • Kim, Seog-Joo;Cheon, Jong-Min;Lee, Jong-Moo;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.523-525
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    • 2005
  • This paper deals with a linear matrix inequality (LMI) approach to the design of a static output feedback controller that simultaneously stabilizes a finite collection of linear time-invariant plants. Simultaneous stabilization by static ouput feedback is represented in terms of LMIs with a rank condition. An iterative penalty method is proposed to solve the rank-constrained LMI problem. Numerical experiments show the effectiveness of the proposed algorithm.

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Design of a Low-order Pole Placement Power System Stabilizer Using Simultaneous Stabilization (동시안정화를 이용한 저차원 극배치 전력계통안정화장치 설계)

  • Kim, Seog-Joo;Lee, Jong-Moo;Kwon, Soon-Man
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.10
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    • pp.1708-1712
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    • 2008
  • This paper describes a linear matrix inequality (LMI) approach to the design of robust low-order power system stabilizers (PSSs), which are used to damp out local-mode oscillations of synchronous generators. The performance of a PSS is expressed as the location of the closed-loop poles, and a single fixed-gain pole-placement controller is synthesized for a wide range of operating conditions. The synthesis results in simultaneous regional pole-placement stabilization. and is formulated as an LMI feasibility problem with a rank condition. A penalty method is applied to solve the rank-constrained LMI problem. Numerical experiments with a single-machine connected to an infinite bus system were performed to demonstrate the proposed method.

Simultaneous Stabilization Via Static Ouput Feedback Using an LMI Method (LMI를 이용한 정적출력궤환 동시안정화 제어기 설계)

  • Cheon, Jong-Min;Lee, Jong-Moo;Kwon, Soon-Man;Moon, Young-Hyun;Kim, Seog-Joo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.5
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    • pp.226-228
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    • 2006
  • This paper deals with a linear matrix inequality (LMI) approach to the design of a static output feedback controller that simultaneously stabilizes a finite collection of linear time-invariant plants. Simultaneous stabilization by static ouput feedback is represented in terms of LMIs with a rank condition. An iterative penalty method is proposed to solve the rank-constrained LMI problem. Numerical experiments show the effectiveness of the proposed algorithm.

A Simultaneous Experimental Disturbances Identification of Gyro Stabilized 2-Axes Gimbal System for Disturbance Feedforward Compensation Control (2-축 자이로 안정화 김발 시스템의 외란보상 앞먹임 제어를 위한 실험적 2-축 외란 동시 식별)

  • Yeo, Sung Min;Kang, Min Sig
    • Journal of the Korea Institute of Military Science and Technology
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    • v.21 no.4
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    • pp.508-519
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    • 2018
  • This paper concerns on stabilization control of a gyro-stabilized 2-axes gimbal system which is mounted on a moving vehicles such as automobiles, armored vehicles, ships, flying vehicles, etc. A target image acquisition system is attached on the inner gimbal, and the gimbal systems are required to retain high stabilization accuracy in the absolute coordinate in order to provide fine target image while vehicle is moving. The stabilization control performance is hardly depended upon disturbance rejection ability of control, and disturbance feedforward compensation is effective because feedforward compensation reduce the amount of disturbance before the disturbance disturbs the systems. This paper suggests an experimental method which can estimate system parameters and disturbance torques by using 3-axes accelerometer mounted on the inner gimbal. Furthermore, a simple disturbance identification method which can be applied to any slanted base conditions has been suggested to identify mass unbalance vector and friction torques of each gimbal simultaneously. By using the estimated parameters, a feedforward compensation has been applied to the gyro-stabilized 2-axes gimbal system. The experimental results showed that the feedforward compensation based on the identification method suggested is effective to improve stabilization performances.

The Effect of N2 Dilution on the Flame Stabilization in a Non-Premixed Turbulent H2 Jet with Coaxial Air (질소 희석이 수소 난류확산화염의 화염안정성에 미치는 영향)

  • Oh, Jeong-Seog;Yoon, Young-Bin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.7
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    • pp.477-485
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    • 2009
  • The study of nitrogen dilution effect on the flame stability was experimentally investigated in a non-premixed turbulent lifted hydrogen jet with coaxial air. Hydrogen gas was used as a fuel and coaxial air was used to make flame liftoff. Each of hydrogen and air were injected through axisymetric inner and outer nozzles ($d_F=3.65\;mm$ and $d_A=14.1\;mm$). And both fuel jet and coaxial air velocity were fixed as $u_F=200\;m/s$ and $u_A=16\;m/s$, while the mole fraction of nitrogen diluents gas was varied from 0.0 to 0.2 with 0.1 step. For the analysis of flame structure and the flame stabilization mechanism, the simultaneous measurement of PIV/OH PLIF laser diagnostics had been performed. The stabilization point was selected in the most upstream region of the flame base and defined as the point where the turbulent flame propagation velocity was equal to the axial component of local flow velocity. We found that the turbulent flame propagation velocity increased with the decrease of nitrogen mole fraction. We concluded that the turbulent flame propagation velocity was expressed as a function of turbulent intensity and axial strain rate, even though nitrogen diluents mole fraction was changed.

Design Method of a Parallel Feedforward Compensator for Passivation of Linear Systems (선형 시스템 수동화를 위한 병렬 앞먹임 보상기 설계방법 연구)

  • 손영익
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.7
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    • pp.590-596
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    • 2004
  • A passivity-based dynamic output feedback controller design is considered for a finite collection of non-square linear systems. Design of a single controller for a set of plants i.e. simultaneous stabilization is an important issue in the area of robust control design. We first determine a squaring gain matrix and an additional dynamics that is connected to the systems in a feedforward way, then a static passivating control law is designed. Consequently, the actual feedback controller will be the static control law combined with the feedforward dynamics. A necessary and sufficient condition for the existence of the parallel feedforward compensator is given by the static output feedback formulation. In contrast to the previous result [1], a technical condition for constructing the parallel feedforward compensator is removed by proposing a new type of the parallel compensator.

Consensus of High-order Linear Systems with Directed Communication Topology Using LMI Approach (LMI 기법을 이용한 방향성 통신 토폴로지를 갖는 고차 선형시스템들의 상태일치)

  • Kim, Su-Bum;Choi, Hyoun-Chul;Lee, Sung-Hun;Kim, Kang-Seok;Joo, Seoung-Yul;Hong, Woo-Young
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.5
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    • pp.941-947
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    • 2011
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with directed communication topology. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with directed graph. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. Examples are presented to show the effectiveness of the proposed method.

Consensus of High-order Linear Systems With Parameter Uncertainties (파라미터 불확실성을 갖는 고차 선형시스템들의 상태일치)

  • Kim, Su-Bum;Choi, Hyoun-Chul;Kim, Hyoung-Joon;Shim, Hyung-Bo;Seo, Jin-Heon
    • Proceedings of the IEEK Conference
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    • 2009.05a
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    • pp.67-69
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    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with parameter uncertainties. All the agents are identical high-order linear systems with parameter uncertainties and their state information is exchanged through a communication network. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems. A numerical example is presented to show the effectiveness of the proposed method.

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Consensus of High-order Linear Systems With Communication Delay (통신지연을 갖는 고차 선형시스템들의 상태일치)

  • Choi, Hyoun-Chul;Kim, Su-Bum;Kim, Seong-Jun;Shim, Hyung-Bo;Seo, Jin-Heon
    • Proceedings of the IEEK Conference
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    • 2009.05a
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    • pp.88-90
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    • 2009
  • This paper deals with the consensus problem for multi-agent linear dynamic systems with communication delay. All the agents are identical high-order linear systems and their state information is exchanged through a communication network with constant communication delay. It is shown that a consensus is achieved if there exists a feasible solution to a set of linear matrix inequalities obtained for a simultaneous stabilization problem for multiple systems with delay. A numerical example is presented to show the effectiveness of the proposed method.

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