• Title/Summary/Keyword: dynamic inequality

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A Study on the Control Model Identification and H(sub)$\infty$ Controller Design for Trandem Cold Mills

  • Lee, Man-Hyung;Chang, Yu-Shin;Kim, In-Soo
    • Journal of Mechanical Science and Technology
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    • v.15 no.7
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    • pp.847-858
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    • 2001
  • This paper considers the control model identification and H(sub)$\infty$ controller design for a tandem cold mill (TCM). In order to improve the performance of the existing automatic gauge control (AGC) system based on the Taylor linearized model of the TCM, a new mathematical model that can complement the Taylor linearized model is constructed by using the N4SID algorithm based on subspace method and the least squares algorithm based on ARX model. It is shown that the identified model had dynamic characteristics of the TCM than the existing Taylor linearized model. The H(sub)$\infty$ controller is designed to have robust stability to the system parameters variation, disturbance attenuation and robust tracking capability to the set-up value of strip thickness. The H(sub)$\infty$ servo problem is formulated and it is solved by using LMI (linear matrix inequality) techniques. Simulation results demonstrate the usefulness and applicability of the proposed H(sub)$\infty$ controller.

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Design of a Low-Order Sensorless Controller by Robust H∞ Control for Boost Converters

  • Li, Xutao;Chen, Minjie;Shinohara, Hirofumi;Yoshihara, Tsutomu
    • Journal of Power Electronics
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    • v.16 no.3
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    • pp.1025-1035
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    • 2016
  • Luenberger observer (LO)-based sensorless multi-loop control of a converter requires an iterative trial-and-error design process, considering that many parameters should be determined, and loop gains are indirectly related to the closed-loop characteristics. Robust H∞ control adopts a compact sensorless controller. The algebraic Riccati equation (ARE)-based and linear matrix inequality (LMI)-based H∞ approaches need an exhaustive procedure, particularly for a low-order controller. Therefore, in this study, a novel robust H∞ synthesis approach is proposed to design a low-order sensorless controller for boost converters, which need not solve any ARE or LMI, and to parameterize the controller by an adjustable parameter behaving like a "knob" on the closed-loop characteristics. Simulation results show the straightforward closed-loop characteristics evaluation and better dynamic performance by the proposed H∞ approach, compared with the LO-based sensorless multi-loop control. Practical experiments on a digital processor confirmed the simulation results.

Modal-based mixed vibration control for uncertain piezoelectric flexible structures

  • Xu, Yalan;Qian, Yu;Chen, Jianjun;Song, Gangbing
    • Structural Engineering and Mechanics
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    • v.55 no.1
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    • pp.229-244
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    • 2015
  • H-infinity norm relates to the maximum in the frequency response function and H-infinity control method focuses on the case that the vibration is excited at the fundamental frequency, while 2-norm relates to the output energy of systems with the input of pulses or white noises and 2-norm control method weighs the overall vibration performance of systems. The trade-off between the performance in frequency-domain and that in time-domain may be achieved by integrating two indices in the mixed vibration control method. Based on the linear fractional state space representation in the modal space for a piezoelectric flexible structure with uncertain modal parameters and un-modeled residual high-frequency modes, a mixed dynamic output feedback control design method is proposed to suppress the structural vibration. Using the linear matrix inequality (LMI) technique, the initial populations are generated by the designing of robust control laws with different H-infinity performance indices before the robust 2-norm performance index of the closed-loop system is included in the fitness function of optimization. A flexible beam structure with a piezoelectric sensor and a piezoelectric actuator are used as the subject for numerical studies. Compared with the velocity feedback control method, the numerical simulation results show the effectiveness of the proposed method.

An Effective Priority Method Using Generator's Discrete Sensitivity Value for Large-scale Preventive Maintenance Scheduling (발전기 이산 민감도를 이용한 효율적인 우선순위법의 대규모 예방정비계획 문제에의 적용 연구)

  • Park, Jong-Bae;Jeong, Man-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.234-240
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    • 1999
  • This paper presents a new approach for large-scale generator maintenance scheduling optimizations. The generator preventive maintenance scheduling problems are typical discrete dynamic n-dimensional vector optimization ones with several inequality constraints. The considered objective function to be minimized a subset of{{{{ { R}^{n } }}}} space is the variance (i.g., second-order momentum) of operating reserve margin to levelize risk or reliability during a year. By its nature of the objective function, the optimal solution can only be obtained by enumerating all combinatorial states of each variable, a task which leads to computational explosion in real-world maintenance scheduling problems. This paper proposes a new priority search mechanism based on each generator's discrete sensitivity value which was analytically developed in this study. Unlike the conventional capacity-based priority search, it can prevent the local optimal trap to some extents since it changes dynamically the search tree in each iteration. The proposed method have been applied to two test systems (i.g., one is a sample system with 10 generators and the other is a real-world lage scale power system with 280 generators), and the results anre compared with those of the conventional capacith-based search method and combinatorial optimization method to show the efficiency and effectiveness of the algorithm.

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Sliding Mode Control for Current Distribution Control in Paralleled Positive Output Elementary Super Lift Luo Converters

  • Kumar, Kuppan Ramash;Jeevananthan, Seenithangam
    • Journal of Power Electronics
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    • v.11 no.5
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    • pp.639-654
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    • 2011
  • This paper presents a Current Distribution Control design for Paralleled Positive Output Elementary Super Lift Luo Converters (PPOESLLCs) operated in Continuous Conduction Mode using a Sliding Mode Controller (SMC). Manipulating the higher current requirement of the load through the paralleling of POESLLCs, results in a current inequality. This is mainly due to dissimilarities in the power semiconductor switches and circuit components used in POESLLCs, which may lead to converter failures. In order to balance the proper load current sharing and the load voltage regulation of PPOESLLCs, a SMC is developed. The SMC is designed for the inherently variable-structured of POESLLCs by using the state-space average based model. The static and dynamic performance of the developed controller with PPOESLLCs is validated for its robustness to perform over a wide range of operating conditions through both a laboratory prototype and MatLab/Simulink models, which are compared with a Proportional-Integral (PI) controller. Theoretical analysis, simulation and experimental results are presented to demonstrate the feasibility of the developed SMC along with the complete design procedure.

A novel smart criterion of grey-prediction control for practical applications

  • Z.Y. Chen;Ruei-yuan Wang;Yahui Meng;Timothy Chen
    • Smart Structures and Systems
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    • v.31 no.1
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    • pp.69-78
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    • 2023
  • The purpose of this paper is to develop a scalable grey predictive controller with unavoidable random delays. Grey prediction is proposed to solve problems caused by incorrect parameter selection and to eliminate the effects of dynamic coupling between degrees of freedom (DOFs) in nonlinear systems. To address the stability problem, this study develops an improved gray-predictive adaptive fuzzy controller, which can not only solve the implementation problem by determining the stability of the system, but also apply the Linear Matrix Inequality (LMI) law to calculate Fuzzy change parameters. Fuzzy logic controllers manipulate robotic systems to improve their control performance. The stability is proved using Lyapunov stability theorem. In this article, the authors compare different controllers and the proposed predictive controller can significantly reduce the vibration of offshore platforms while keeping the required control force within an ideal small range. This paper presents a robust fuzzy control design that uses a model-based approach to overcome the effects of modeling errors. To guarantee the asymptotic stability of large nonlinear systems with multiple lags, the stability criterion is derived from the direct Lyapunov method. Based on this criterion and a distributed control system, a set of model-based fuzzy controllers is synthesized to stabilize large-scale nonlinear systems with multiple delays.

Rolling Horizon Implementation for Real-Time Operation of Dynamic Traffic Assignment Model (동적통행배정모형의 실시간 교통상황 반영)

  • SHIN, Seong Il;CHOI, Kee Choo;OH, Young Tae
    • Journal of Korean Society of Transportation
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    • v.20 no.4
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    • pp.135-150
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    • 2002
  • The basic assumption of analytical Dynamic Traffic Assignment models is that traffic demand and network conditions are known as a priori and unchanging during the whole planning horizon. This assumption may not be realistic in the practical traffic situation because traffic demand and network conditions nay vary from time to time. The rolling horizon implementation recognizes a fact : The Prediction of origin-destination(OD) matrices and network conditions is usually more accurate in a short period of time, while further into the whole horizon there exists a substantial uncertainty. In the rolling horizon implementation, therefore, rather than assuming time-dependent OD matrices and network conditions are known at the beginning of the horizon, it is assumed that the deterministic information of OD and traffic conditions for a short period are possessed, whereas information beyond this short period will not be available until the time rolls forward. This paper introduces rolling horizon implementation to enable a multi-class analytical DTA model to respond operationally to dynamic variations of both traffic demand and network conditions. In the paper, implementation procedure is discussed in detail, and practical solutions for some raised issues of 1) unfinished trips and 2) rerouting strategy of these trips, are proposed. Computational examples and results are presented and analyzed.

The Custom of Bride Wealth in Africa: The Context of Change and Reconstruction (아프리카의 신부대(bride wealth) 관습: 변화와 재구성의 맥락)

  • Seol, Byung-Soo
    • Cross-Cultural Studies
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    • v.50
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    • pp.131-172
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    • 2018
  • It is noted that nowadays, the bride wealth custom takes an extremely distorted form in African society. Such a phenomenon is a result that the male-dominant culture, Western religions, and capitalist economic system have been negatively combined into dynamic factors seen as bride wealth. This means that the concept of bride wealth has been incessantly reconstructed in the middle of clash and conflict of tradition and modernity. There is also little doubt that the practice is inextricably tangled with the common and current ways of livelihood, early marriage, polygyny, kinship/family structure, poverty, and migration labor. Bride wealth has become an increasingly commercialized element under a capitalist economic system. Accordingly, its traditional symbolism is seen to be subsequently weakening, whereas a tendency towards the reification of women is strengthening more in modern society that embraces modern customs bent on the protection of women's human rights. Its commercialization has produced a result, which instigates the noted violations of women's basic human rights, gender inequality, and promotion of domestic violence. The ways that people perceive bride wealth vary according to their own sex, generation, stratification, and ethnic background. Those people who negatively recognize bride wealth will increase with the deepening of its commercialization due to the influence of capitalism. Its color and effect will deepen and depend on how its agents correspond to socioeconomic changes. They will constantly reinterpret and reconstruct it within their own environments, but the basic human rights efforts are constantly under review by concerned individuals seeking to promote equality for women as a global effort.

Optimal Design of Viscoelastic Dampers and Support Braces (점탄성 감쇠기와 설치용 가새의 최적설계)

  • 박지훈;이상현;강경수;황재승;김진구
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.3
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    • pp.45-55
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    • 2001
  • The purpose of this paper is to present the optimal design method of viscoelastic dampers and support brace stiffnesses. The dynamics of visco-elastic dampers and support braces connected in series is modeled by state equation. A constraint on maximum story drifts which are computed using RMS\`s of story drifts and peak factors is added to the optimization problem. The number of variables is reduced by including the constraint associated with the dynamic behavior of the structure in the procedure to compute the gradient of the inequality equation about constraint on the maximum story drifts. In the design example, it is confirmed that the design of dampers considering support brace stiffnesses is necessary when sufficient brace stiffnesses cannot be supplied. It is also found that unnecessary brace stiffnesses can be removed by adding brace stiffnesses to optimal design variables and that the increase of damper volumes to compensate for the variation of maximum story drifts is pretty small.

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Stability Conditions for Positive Time-Varying Discrete Interval System with Unstructured Uncertainty (비구조화 불확실성을 갖는 양의 시변 이산 구간 시스템의 안정 조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.23 no.6
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    • pp.577-583
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    • 2019
  • A dynamic system is called positive if any trajectory of the system starting from non-negative initial states remains forever non-negative for non-negative controls. In this paper, we consider the new stability condition for the positive time-varying linear discrete interval systems with time-varying delay and unstructured uncertainty. The delay time is considered as time-varying within certain interval having minimum and maximum values and the system is subjected to nonlinear unstructured uncertainty which only gives information on uncertainty magnitude. The proposed stability condition is an improvement of the previous results which can be applied only to time-invariant systems or had no consideration of uncertainty, and they can be expressed in the form of a very simple inequality. The stability conditions are derived using the Lyapunov stability theory and have many advantages over previous results using the upper solution bound of the Lyapunov equation. Through numerical example, the proposed stability conditions are proven to be effective and can include the existing results.