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Fuzzy H2/H Controller Design for Delayed Nonlinear Systems with Saturating Input (포화입력을 가지는 시간지연 비선형 시스템의 퍼지 H2/H 제어기 설계)

  • Cho, Hee-Soo;Lee, Kap-Rai;Park, Hong-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.3
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    • pp.239-245
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    • 2002
  • In this Paper, we present a method for designing fuzzy $H_2/H_{\infty}$ controllers of delayed nonlinear systems with saturating input. Takagi-Sugeno fuzzy model is employed to represent delayed nonlinear systems with saturating input. The fuzzy control systems utilize the concept of the so-called parallel distributed compensation(PDC). Using a single quadratic Lyapunov function, the globally exponential stability and $H_2/H_{\infty}$ performance problem are discussed. And a sufficient condition for the existence of fuzzy $H_2/H_{\infty}$ controllers is given in terms of linear matrix inequalities(LMIs). The designing fuzzy $H_2/H_{\infty}$ controllers minimize an upper bound on a linear quadratic performance measure. Finally, a design example of fuzzy $H_2/H_{\infty}$ controller for uncertain delayed nonlinear systems with saturating input.

A Study on Container Securing System for Optimum Arrangement (최적 적재를 위한 컨테이너 시큐어링 시스템 개발에 관한 연구)

  • Shin, Sang-Hoon
    • Journal of Navigation and Port Research
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    • v.27 no.4
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    • pp.397-402
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    • 2003
  • Generally, container arrangement has been carried out based on the Classification guidelines. However, guidelines provide only container securing forces for the given container arrangement and Classification requirements of the forces. In order to design container arrangement additional information is needed such as container securing forces and arrangement that accounts for lashing bridges, vertical lashing, vertical center of gravity (VCG), and maximum stack weight. Trial and error method using the existing guidelines requires excessive amount of calculation time and cannot provide accurate results of the calculations. In order to fulfill this need, a new container securing system has been established based on the equilibrium conditions that include lashing bridges and vertical lashing. An optimization algorithm has been developed for the new system since current optimization methods such as genetic algorithms and evolution strategies are unsuitable for the container securing problems, which involve equality constraint. Design variables are container weights of tier and objective function is either total container weight or VCG of a stack. The newly developed system provides optimum arrangement of containers for both maximum stack weight and maximum VCG. It also greatly reduces time for designing container arrangement.

Intelligent Digital Redesign of Observer-Based Output-Feedback Fuzzy Controller Using Delta Operator (델타 연산자를 이용한 관측기 기반 출력 궤환 퍼지 제어기의 디지털 재설계)

  • Moon, Ji Hyun;Lee, Ho Jae;Kim, Do Wan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.6
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    • pp.700-705
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    • 2012
  • This paper addresses an intelligent digital redesign (IDR) technique for observer-based output-feedback control systems, in order to efficiently convert a pre-designed Takagi-Sugeno fuzzy model-based analog controller into a sampled-data one in the sense of state matching. A delta operator is used to get an asymptotic relation between the analog and the sampled-data control systems. The IDR problem is viewed as a minimization problem of the norm distances between linear operator to be matched. The condition is represented as linear matrix inequalities, and the separation principle on the IDR is shown.

Influence of Pressure Variation Inside the Snubber on Reciprocating Hydrogen Compression System (왕복동식 수소 압축 시스템에서의 스너비 내부 압력변화의 영향)

  • Rahman, M.Sq.;Lee, G.H.;Woo, J.S.;Utomo, T.S.;Chung, H.S.;Jeong, H.M.
    • Journal of Power System Engineering
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    • v.13 no.2
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    • pp.42-48
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    • 2009
  • 본 실험에서는 왕복동식 수소 압축 시스템에서 다양한 스너버 압력변화와 스너버 효과를 조사가 수행되었다. 압력값은 실험적인 방법으로 스너버 시스템에서 각각 6군데에서 압력 값을 측정하였다. 그리고 아크릴 스너버에서의 입, 출구의 압력진폭은 FFT로 얻어진다. 맥동압 감소는 결과의 입, 출구의 진폭으로써 계산되어진다. 이는 각각의 모터 주파수 30, 40, 50Hz에서 각각 58.248%, 57.026%, 56.871%의 맥동압 감소가 일어난다. 압력 손실은 각각의 모터주파수 30, 40, 50Hz에서 0.960%, 1.533%, 1.965% 손실값이 발생한다. 수치해석은 스너버 내부 모든 구역에의 압력 정보를 보여준다. 실험과 수치해석의 결과를 비교하면 좋은 일치성을 보인다. 그렇기 때문에 수치해석으로 구한 압력 예측값은 왕복등식 수소 압축 시스템의 스너버 성능을 포함하는 다양한 수학적 식에 적용가능하다.

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A Study of Robust Vibration Control for a Multi-Layer Structure (다층상구조물의 강인 진동제어에 관한 연구)

  • Kim, Chang-Hwa;Jung, Byung-Gun;Jung, Hae-Jong
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.8
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    • pp.1212-1219
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    • 2009
  • In this paper, a state feedback gain controller using linear matrix inequality(LMI) for the multi-objective synthesis is designed, in the multi-layer structure with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.

An LMI-based PID Control Design Method for Uncertain MIMO Systems (불확실성을 갖는 MIMO 시스템을 위한 선형행렬부등식 기반 PID 제어기 설계 방법)

  • Lee, Jae-Kwan;Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.9
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    • pp.750-754
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    • 2005
  • This paper deals with the design problem of multivariable PID controllers guaranteeing the closed-loop system stability and a prescribed $H_\infty$ norm bound constraint. We reduce the problem to the static output feedback stabilization problem. We derive a necessary and sufficient condition f3r the existence of PID controllers and we give an explicit formula of PID controllers. We also give an existence condition of PID controllers guaranteeing a prescribed decay rate. Finally, we give an LMI-based design algorithm, together with a numerical design example.

Tracking Control of a Sampled Nonlinear System via Fuzzy Logic Theory (퍼지제어 이론을 이용한 샘플된 비선형 시스템의 추적제어에 대한 연구)

  • 김은태
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.40 no.6
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    • pp.69-75
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    • 2003
  • This paper presents a fuzzy logic based approach to tracking control of a sampled nonlinear system. It is assumed that the plant to be controlled is under both the internal uncertainty and the external disturbances. Discrete-time adaptive fuzzy control method is proposed and its parameters are determined by the recently-spolighted convex optimization technique called LMI. Finally, the computer simulation is tarried out to verify the effectiveness of the proposed method.

All Stabilizing Disturbance Observer Design for Precise Position Control (정밀 위치제어를 위한 상안정 외란관측기 설계)

  • Suh, Sang-Min;Kim, Ha-Yong;Kim, Kyung-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.8
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    • pp.710-716
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    • 2010
  • This note represents a new disturbance observer to reduce effects of external disturbances. In case of conventional disturbance observers, additional stabilizing filters, so-called Q-filter, should be used because the conventional ones don't guarantee stability. But, the proposed one doesn't need the stabilizing filter, which is a fundamentally different research result from previous methods. Experimental verifications show this approach is realizable and valid to enhance precise positioning.

Probabilistic & Economic Factors in Highway Geometric Design : A Climbing Lane Example (확솔 및 경제요소를 고려한 도로선형 설계)

  • 정천수;음성직
    • Journal of Korean Society of Transportation
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    • v.8 no.2
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    • pp.109-118
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    • 1990
  • 본 고는 도로선형 설계에 확율 및 경제요소를 반영시키는 방법과 그에 따른 효과를 파악하는데 목적을 두고 있다. 접근방법은 도로사용자 비용과 도로시공 및 유지관리 비용 등을 포함하는 총비용을 예상비용함수로 나타내어 이 비용함수를 최소화함으로써 최적 도로선형 설계방법을 찾는 것이다. 이와 더불어 본 고는 이 개념에 의한 최적 설계방법을 등반차선(Climbing lane)의 설계에 적용하였다. 즉, 오르막길의 경사 및 거리에 따른 등반차선의 최적 위치를 찾기 위해 우선 오르막길에서의 승용차와 트럭의 속도분포를 찾아내고 예상예비함수를 등식화하여 그 최적해를 구함으로써 등반차선의 최적 위치를 구하였다. 현재 등반차선의 설계과정(AASHTO, 1984)은 트럭 주행능력에 따른 가정과 트럭과 승용차의 최대 속도 차이를 임의로 선택하여 등반차선의 최적 위치를 찾고 있다. 따라서 본 고에서는 기존 등반차선 설계방법과 새로운 설계방법을 상호 비교하면서 새로운 방법의 타당성과 그에 따른 설계이점들을 증명하였다.

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A Robust Pole Placement for Uncertain Linear Systems via Linear Matrix Inequalities (선형행렬부등식에 의한 불확실한 선형시스템의 견실한 극점배치)

  • 류석환
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.476-479
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    • 2000
  • This paper deals with a robust pole placement method for uncertain linear systems. For all admissible uncertain parameters, a static output feedback controller is designed such that all the poles of the closed loop system are located within the prespecfied disk. It is shown that the existence of a positive definite matrix belonging to a convex set such that its inverse belongs to another convex set guarantees the existence of the output feedback gain matrix for our control problem. By a sequence of convex optimization the aforementioned matrix is obtained. A numerical example is solved in order to illustrate efficacy of our design method.

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