• Title/Summary/Keyword: dynamic inequality

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Interstory-interbuilding actuation schemes for seismic protection of adjacent identical buildings

  • Palacios-Quinonero, Francisco;Rubio-Massegu, Josep;Rossell, Josep M.;Rodellar, Jose
    • Smart Structures and Systems
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    • v.24 no.1
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    • pp.67-81
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    • 2019
  • Rows of closely adjacent buildings with similar dynamic characteristics are common building arrangements in residential areas. In this paper, we present a vibration control strategy for the seismic protection of this kind of multibuilding systems. The proposed approach uses an advanced Linear Matrix Inequality (LMI) computational procedure to carry out the integrated design of distributed multiactuation schemes that combine interbuilding linking devices with interstory actuators implemented at different levels of the buildings. The controller designs are formulated as static output-feedback H-infinity control problems that include the interstory drifts, interbuilding approachings and control efforts as controlled-output variables. The advantages of the LMI computational procedure are also exploited to design a fully-decentralized velocity-feedback controller, which can define a passive control system with high-performance characteristics. The main ideas are presented by means of a system of three adjacent five-story identical buildings, and a proper set of numerical simulations are conducted to demonstrate the behavior of the different control configurations. The obtained results indicate that interstory-interbuilding multiactuation schemes can be used to design effective vibration control systems for adjacent buildings with similar dynamic characteristics. Specifically, this kind of control systems is able to mitigate the vibrational response of the individual buildings while maintaining reduced levels of pounding risk.

An Solution Algorithm for A Multi-Class Dynamic Traffic Assignment Problem (다계층운전자를 고려한 동적통행배정모형의 해법)

  • Shin, Seong-Il;Kim, Jeong-Hyun;Baik, Nam-Cheol
    • Journal of Korean Society of Transportation
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    • v.21 no.6
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    • pp.77-88
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    • 2003
  • This paper proposes a solution algorithm for solving a multi-class analytical DTA model. In the DTA model, three traveler classes are classified according to different assumptions of traveler's route choice behavior: including fixed route, Stochastic Dynamic User Optimum(SDUO), and Dynamic User Optimum(DUO). To solve this DTA model, variables of link flow and exit flow are represented solely by inflow. The resulting Linear Program(LP) subproblem in the inner iteration is solved as a typical time-dependent shortest route problem over a physical network. Accordingly, the required time-space network expansion in solving DTA models is no longer needed.

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.

Design of Worm Gear for CVVL Paired with ZK Worm and Involute Helical Gear (ZK 웜과 인볼류트 헬리컬기어로 결합된 CVVL용 웜기어 설계)

  • Sohn, Jonghyeon;Park, Nogill;Oh, Chunghan
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.1
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    • pp.77-84
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    • 2014
  • The worm gear is used in the motor drive system of automotive CVVL because of its compactness and self-locking ability. A ZK worm and an involute helical gear can be meshed in order to reduce production cost. However, the gearing is not suitable for the reliability and the NVH problem. To improve the dynamic performances, an optimal design process is considered. The transmission error is calculated theoretically and minimized with the several gear design parameters. An inequality condition such as the teeth interference elimination is added.

Optimal Force Distribution for Quadruped Walking Robots with a Failed Leg (고장 난 다리가 있는 사족 보행 로봇을 위한 최적 힘 배분)

  • Yang, Jung-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.614-620
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    • 2009
  • The force distribution in multi-legged robots is a constrained, optimization problem. The solution to the problem is the set points of the leg contact forces for a particular system task. In this paper, an efficient and general formulation of the force distribution problem is developed using linear programming. The considered walking robot is a quadruped robot with a locked-joint failure, i.e., a joint of the failed leg is locked at a known place. For overcoming the drawback of marginal stability in fault-tolerant gaits, we define safety margin on friction constraints as the objective function to be maximized. Dynamic features of locked-joint failure are represented by equality and inequality constraints of linear programming. Unlike the former study, our result can be applied to various forms of walking such as crab and turning gaits. Simulation results show the validity of the proposed scheme.

Vibration Control of Multi-Degree-of-Freedem Structure by Nonlinear TEX>$H_\infty$ Control

  • Kubota, Kenta;Sampei, Mitsuji
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.354-358
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    • 1994
  • This study is concerned with H$_{\infty}$ control theory of nonlinear systems. Recently H$_{\infty}$ control theory has been developed to nonlinear systems, and especially nonlinear H$_{\infty}$ control theory based on the Hamilton-Jacobi inequality has been proposed. This corresponds to linear H$_{\infty}$ control theory based on the Riccati equation. In this paper, we apply it to a semi-active dynamic vibration absorber for multi-degree-of-freedom structure, and we design its state feedback controller via the Riccati equation. In the simulation, we show that it is effective for a vibration control.rol.

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Recursive Design of Nonlinear Disturbance Attenuation Control for STATCOM

  • Liu Feng;Mei Shengwei;Lu Qiang;Goto Masno
    • International Journal of Control, Automation, and Systems
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    • v.3 no.spc2
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    • pp.262-269
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    • 2005
  • In this paper, a nonlinear robust control approach is applied to design a controller for the Static Synchronous Compensator (STATCOM). A robust control dynamic model of STATCOM in a one-machine, infinite-bus system is established with consideration of the torque disturbance acting on the rotating shaft of the generator set and the disturbance to the output voltage of STATCOM. A novel recursive approach is utilized to construct the energy storage function of the system such that the solution to the disturbance attenuation control problem is acquired, which avoids the difficulty involved in solving the Hamilton-Jacobi-Issacs (HJI) inequality. Sequentially, the nonlinear disturbance attenuation control strategy of STATCOM is obtained. Simulation results demonstrate that STATCOM with the proposed controller can more effectively improve the voltage stability, damp the oscillation, and enhance the transient stability of power systems compared to the conventional PI+PSS controller.

LMI Parameterization of Lineny Sliding Surfaces for Mismatched Uncertain Systems (정합조건을 만족시키지 않는 불확실한 시스템을 위한 선형 슬라이딩 평면의 LMI 매개변수화)

  • Lee, Jae-Kwan;Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.11
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    • pp.907-912
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    • 2005
  • In this paper, we consider the problem of designing sliding surfaces fur a class of dynamic systems with mismatched uncertainties in the state space model. In terms of LMIs, we give necessary and sufficient conditions fir the existence of a linear sliding surface such that the reduced order sliding mode dynamics is asymptotically stable and completely independent of uncertainties. We parameterize all such linear sliding surfaces by using the solution to the given LMI conditions. And, we consider the problem of designing linear sliding surfaces guaranteeing pole placement constraints or $H_2/H_infty$ performances. Finally, we give a design example in order to show the effectiveness of our 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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