• Title/Summary/Keyword: Lyapunov stability criterion

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Henry gas solubility optimization for control of a nuclear reactor: A case study

  • Mousakazemi, Seyed Mohammad Hossein
    • Nuclear Engineering and Technology
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    • v.54 no.3
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    • pp.940-947
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    • 2022
  • Meta-heuristic algorithms have found their place in optimization problems. Henry gas solubility optimization (HGSO) is one of the newest population-based algorithms. This algorithm is inspired by Henry's law of physics. To evaluate the performance of a new algorithm, it must be used in various problems. On the other hand, the optimization of the proportional-integral-derivative (PID) gains for load-following of a nuclear power plant (NPP) is a good challenge to assess the performance of HGSO. Accordingly, the power control of a pressurized water reactor (PWR) is targeted, based on the point kinetics model with six groups of delayed-neutron precursors. In any optimization problem based on meta-heuristic algorithms, an efficient objective function is required. Therefore, the integral of the time-weighted square error (ITSE) performance index is utilized as the objective (cost) function of HGSO, which is constrained by a stability criterion in steady-state operations. A Lyapunov approach guarantees this stability. The results show that this method provides superior results compared to an empirically tuned PID controller with the least error. It also achieves good accuracy compared to an established GA-tuned PID controller.

Robust Position Control for PMLSM Using Friction Parameter Observer and Adaptive Recurrent Fuzzy Neural Network (마찰변수 관측기와 적응순환형 퍼지신경망을 이용한 PMLSM의 강인한 위치제어)

  • Han, Seong-Ik;Rye, Dae-Yeon;Kim, Sae-Han;Lee, Kwon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.2
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    • pp.241-250
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    • 2010
  • A recurrent adaptive model-free intelligent control with a friction estimation law is proposed to enhance the positioning performance of the mover in PMLSM system. For the PMLSM with nonlinear friction and uncertainty, an adaptive recurrent fuzzy neural network(ARFNN) and compensated control law in $H_{\infty}$ performance criterion are designed to mimic a perfect control law and compensate the approximated error between ideal controller and ARFNN. Combined with friction observer to estimate nonlinear friction parameters of the LuGre model, on-line adaptive laws of the controller and observer are derived based on the Lyapunov stability criterion. To analyze the effectiveness our control scheme, some simulations for the PMLSM with nonlinear friction and uncertainty were executed.

Robust stabilization of time-delay systems with nonlinear uncertainties

  • Park, Juhyun;Won, Sangchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1197-1200
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    • 1996
  • This paper is concerned with the design of robust state feedback controller for a class of linear time-delay systems with norm-bounded nonlinear uncertainties. Under the proposed delay-independent criterion, asymptotic stability for the system is investigated using the conventional Lyapunov method. Moreover, the robust controller can be obtained by solving the linear matrix inequality which is equivalent to the suggested conditions.

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Stability of Interval Time-delayed Linear Systems using a Switched System Approach (전환 시스템 접근법을 이용한 구간 시간지연 선형 시스템의 안정성)

  • Kim, Joo-Kyeong;Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.673-678
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    • 2013
  • This paper considers the stability of linear systems having an interval time-varying delay using a switched system approach. The time-delay system is converted to the switched system equivalently, and then a stability criterion in the form of linear matrix inequality(LMI) is derived by using a parameter dependent Lyapunov-Krosovskii function(PD-LKF). In constructing a PD-LKF, the decomposition is employed for delay free intervals, and the reduction of conservatism is shown analytically as the number of decomposition increases. Finally, two well-known numerical examples are given to show the reduction of conservatism compared to the recent results.

Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

  • Kim Do-Wan;Park Jin-Bae;Joo Young-Hoon;Kim Sung-Ho
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.506-515
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    • 2006
  • This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

Delay Dependent Stability of Time-delayed Linear Systems using New Structure of L-K Funciton (새로운 구조의 L-K함수를 이용한 시간 지연 선형시스템의 시간 종속 안정성)

  • Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.2
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    • pp.246-251
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    • 2013
  • In this paper, we consider the stability of linear systems without delay decomposition. A less conservative result obtained without delay decomposition is strongly required since it is a basis to get an improved result by applying simple delay decomposition. Unlike the most popular Lyapunov-Krasovski(L-K) function, we consider the cross terms between variables. Based on this new structure of L-K function, we derive a delay-dependent stability criterion in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results.

New delay-dependent stability criterion for uncertain time-delayed systems (불확정성 시간지연 선형시스템에 대한 시간지연 종속 안정화 조건)

  • Yi, Yearn-Gui;Bae, Jin-Ho;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1751-1752
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    • 2006
  • 이 논문에서는 불확적성을 지닌 시간지연 선형시스템에 대한 새로운 안정화 조건을 유도한다. 기존의 안정화 조건보다 향상된 안정화 조건은 이전의 Lyapunov-Krasovskii 후보 함수를 보다 일반화 한 새로운 Lyapunov-Krasovskii 후보 함수와 LMI 변수들간의 관계성을 표현해주는 자유행렬 변수의 개념을 이용한 개선된 형태의 벡터-행렬 등식에 의하여 유도되어진다. 새로운 안정화 조건은 LMI 형태로 제시되었기 때문에 제시된 안정화 조건의 유용성을 쉽게 검증 가능할 뿐만 아니라 주어진 예제를 통한 기존의 결과들과의 비교를 통해 이전의 결과들보다 보다 더 큰 시간지연 값 및 불확정량에 대하여도 안정성을 보장해 줌을 확인할 수 있다.

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Sensorless Sliding Mode Control of an Induction Motor using Adaptive Speed Observer (적응 속도 관측기를 사용한 유도전동기의 센서리스 슬라이딩 모드 제어)

  • Jie, Min-Seok;Kim, Chin-Su;Lee, Jae-Yong;Lee, Kang-Woong
    • Journal of Advanced Navigation Technology
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    • v.10 no.3
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    • pp.191-197
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    • 2006
  • In the paper propose a sensorless sliding mode control method of an induction motor using an adaptive speed control. The control objective is apply to adaptive speed observer instead of a encoder and to remove errors using the sliding mode current controller by parameters variation and disturbances that include the current controller. A stability of the sliding mode current controller and the adaptive speed observer using a design controller is guaranteed by the Lyapunov stability criterion. The performance of the proposed control system is demonstrated by simulation using the matlab silmulink and experimental results using induction motor show that the proposed method can apply an induction motor control.

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Smart tracking design for aerial system via fuzzy nonlinear criterion

  • Wang, Ruei-yuan;Hung, C.C.;Ling, Hsiao-Chi
    • Smart Structures and Systems
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    • v.29 no.4
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    • pp.617-624
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    • 2022
  • A new intelligent adaptive control scheme was proposed that combines the control based on interference observer and fuzzy adaptive s-curve for flight path tracking control of unmanned aerial vehicle (UAV). The most important contribution is that the control configurations don't need to know the uncertainty limit of the vehicle and the influence of interference is removed. The proposed control law is an integration of fuzzy control estimator and adaptive proportional integral (PI) compensator with input. The rated feedback drive specifies the desired dynamic properties of the closed control loop based on the known properties of the preferred acceleration vector. At the same time, the adaptive PI control compensate for the unknown of perturbation. Additional terms such as s-surface control can ensure rapid convergence due to the non-linear representation on the surface and also improve the stability. In addition, the observer improves the robustness of the adaptive fuzzy system. It has been proven that the stability of the regulatory system can be ensured according to linear matrix equality based Lyapunov's theory. In summary, the numerical simulation results show the efficiency and the feasibility by the use of the robust control methodology.

Delay-Dependent Criterion for Asymptotic Stability of Neutral Systems with Nonlinear Perturbations (비선형 섭동을 갖는 뉴트럴 시스템의 점근 안정을 위한 지연시간 종속 판별식)

  • Park, Ju-Hyeon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.6
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    • pp.1-6
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    • 2000
  • In this paper, the problem of the stability analysis for linear neutral delay-differential systems with nonlinear perturbations is investigated. Using Lyapunov second method, a new delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms, is presented. A numerical example is given to illustrate the proposed method.

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