• Title/Summary/Keyword: input-output matrix

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Fuzzy System Representation of the Spline Interpolation for differentiable functions

  • Moon, Byung-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.358-363
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    • 1998
  • An algorithm for representing the cubic spline interpolation of differentiable functions by a fuzzy system is presented in this paper. The cubic B-spline functions which form a basis for the interpolation function are used as the fuzzy sets for input fuzzification. The ordinal number of the coefficient cKL in the list of the coefficient cij's as sorted in increasing order, is taken to be the output fuzzy set number in the (k, l) th entry of the fuzzy rule table. Spike functions are used for the output fuzzy sets, with cij's as support boundaries after they are sorted. An algorithm to compute the support boundaries explicitly without solving the matrix equation involved is included, along with a few properties of the fuzzy rule matrix for the designed fuzzy system.

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On the Application af Robust Multivariable Controller to Distillation Column (증류탑 제어에 있어서 로바스트 다변수 제어 응용에 관한 연구)

  • 고재욱;이원규
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.238-243
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    • 1986
  • Distillation columns are widely used in almost every chemical plant. The use of multivariable control for such units is attractive because of the strong interactions exhibited between outputs and inputs and the desire to control simultaneously both top and bottom products. In this research design of a robust multivariable controller for distillation column was considered; output feedback controller with proportional and integral modes was designed using pole assignment. The transfer function matrix was obtained by fitting the step response realtions between single input double output pairs of variables. This matrix was then converted to linear time invariant state space model by multivariable realization technique. With the proposed multivariable proportional and integral controller applied to the process, the result of the digital computer simulation showed a good performance of asymtotic tracking. The limited experimental performance of this multivariable control was compared with the result from simulation. It was found that the proposed controller performed satisfactorily for the distillation column which separated binary mixture of methanol and water.

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Mode-decoupling controller for feedback model updating (궤환 모델 개선법을 위한 모드 분리 제어기)

  • 정훈상;박영진
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.864-869
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    • 2004
  • A novel concept of feedback loop design for modal test and model updating is proposed. This method uses the closed -loop natural frequency information for parameter modification to overcome the problems associated with the conventional method employing the modal sensitivity matrix. To obtain new modal information from closed-loop system, controllers should be effective in changing modal data while guaranteeing the stability of closed-loop system. It is very hard to guarantee the stability of the closed-loop system with non-collocated sensor and actuator set. Ill this research, we proposed a controller called mode-decoupling controller that can change a target mode as much as the designer wants guaranteeing the stability of closed-loop system. This controller can be computed just using measured open-loop modeshape matrix. A simulation based on time domain input/output data is performed to check the feasibility of proposed control method.

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Mode-decoupling Controller for Feedback Model Updating (궤환 모델 개선법을 위한 모드 분리 제어기)

  • 정훈상;박영진
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.10
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    • pp.955-961
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    • 2004
  • A novel concept of feedback loop design for modal test and model updating is proposed. This method uses the closed-loop natural frequency information for parameter modification to overcome the problems associated with the conventional method employing the modal sensitivity matrix. To obtain new modal information from closed-loop system, controllers should be effective in changing modal data while guaranteeing the stability of closed-loop system. But it is very hard to guarantee the stability of the closed-loop system with non-collocated sensor and actuator set. In this research, we proposed a controller called mode-decoupling controller that can change a target mode as much as the designer wants guaranteeing the stability of closed-loop system. This controller can be computed Just using measured open-loop modeshape matrix. A simulation based on time domain input/output data is performed to check the feasibility of proposed control method.

$H_{\infty}$ Design for Square Decoupling Controllers Using Linear Matrix Inequalities (선형 행렬 부등식을 이용한 정방 비결합 제어기의 $H_{\infty}$ 설계)

  • Kang, Ki-Won;Lee, Jong-Sung;Min, Deuk-Gi;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2642-2644
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    • 2000
  • In this paper, the decoupling $H_{\infty}$ controller which minimizes maximum energy in the output signal is designed to reduce the coupling properties between input/output variables which make it difficult to efficiently control a system. And for a given decoupling $H_{\infty}$ problem, an efficient method is sought to find the controller coefficients through Linear Matrix Inequalities(LMI) by which the problem is formulated into a convex optimal problem.

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Extensions of the solution region for a discrete algebraic riccati equation and its application to$H_{\infty}$ controller design (이산 대수 Rccati방정식의 해의 존재 영역 확장 및 $H_{\infty}$베어기 설계 응용)

  • 권욱현;박부견;김상우
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.461-466
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    • 1989
  • This paper describes some properties of a discrete algebraic Riccati equation and its application to $H^{\infty}$ control design. The conditions, under which an input weighting matrix can be found for a negative output weighting matrix in order that a solution P for a discrete algebraic equation may exist, are suggested in case of a stable A. This result is applied to a $H^{\infty}$ controller design for the special case of nonsingular B. It is based on a state feedback control law whose objective is to reduce the effect of input disterbances below a prespecified level. This law requires the solution of a modified algebraic Riccati equation, which provides an method for the $H^{\infty}$ optimization control problem approximately.ly.

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A Learning Method of LQR Controller Using Jacobian (자코비안을 이용한 LQR 제어기 학습법)

  • Lim, Yoon-Kyu;Chung, Byeong-Mook
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.8 s.173
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    • pp.34-41
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    • 2005
  • Generally, it is not easy to get a suitable controller for multi variable systems. If the modeling equation of the system can be found, it is possible to get LQR control as an optimal solution. This paper suggests an LQR learning method to design LQR controller without the modeling equation. The proposed algorithm uses the same cost function with error and input energy as LQR is used, and the LQR controller is trained to reduce the function. In this training process, the Jacobian matrix that informs the converging direction of the controller Is used. Jacobian means the relationship of output variations for input variations and can be approximately found by the simple experiments. In the simulations of a hydrofoil catamaran with multi variables, it can be confirmed that the training of LQR controller is possible by using the approximate Jacobian matrix instead of the modeling equation and this controller is not worse than the traditional LQR controller.

Actuator and sensor failure detection using direct approach

  • Li, Zhiling;Nagarajaiah, Satish
    • Structural Monitoring and Maintenance
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    • v.1 no.2
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    • pp.213-230
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    • 2014
  • A novel real-time actuator failure detection algorithm is developed in this paper. Actuator fails when the input to the structure is different from the commanded one. Previous research has shown that one error function can be formulated for each actuator through interaction matrix method. For output without noise, non-zero values in the actuator functions indicate the instant failure of the actuator regardless the working status of other actuators. In this paper, it is further demonstrated that the actuator's error function coefficients will be directly calculated from the healthy input of the examined actuator and all outputs. Hence, the need for structural information is no longer needed. This approach is termed as direct method. Experimental results from a NASA eight bay truss show the successful application of the direct method for isolating and identifying the real-time actuator failure. Further, it is shown that the developed method can be used for real-time sensor failure detection.

Three-Phase Isolated Capacitorless Charger with a Single-Stage Power Converter (1단 전력변환기를 가진 3상 절연형 커패시터리스 충전기)

  • Chae, Soo-Yong;Hong, Soon-Chan
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.28 no.11
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    • pp.84-92
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    • 2014
  • In this paper, we propose a three-phase isolated electrolytic capacitorless charger available for quick charger. In the proposed charger, electrolytic capacitor in DC link is eliminated by direct conversion from AC input to DC output. Conventional chargers are two stage structure including AC-DC and DC-DC converters, but the proposed charger can be simplified into single stage converter by using a matrix converter. And the waveform of input currents is improved by giving the weighting factor to the duty ratio of auxiliary switches. In order to verify the effectiveness of the proposed charger, simulations are carried out and a 1.2kW charger was constructed and experimented.

MIMO Variable Structure Control System with Sliding Sector (슬라이딩 섹터를 갖는 다중 입출력 가변 구조 제어 시스템)

  • Choi Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.6
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    • pp.524-529
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    • 2006
  • In this paper, we propose a method to design variable structure systems with sliding sector for multi-input multi-output systems with mismatched uncertainties in the state matrix. For the uncertain systems we define sliding sectors within which a norm of the state decreases with zero input despite of mismatched uncertainties. Using the notion of the sliding sector we give simple design algorithms of variable structure control laws that can reduce the chattering. Finally, we give a design example in order to show the effectiveness of our method.