• 제목/요약/키워드: LMIs

검색결과 244건 처리시간 0.022초

양자화 입력을 고려한 연속시간 T-S 퍼지 시스템을 위한 이벤트 트리거 모델예측제어 (Event-Triggered Model Predictive Control for Continuous T-S fuzzy Systems with Input Quantization)

  • 권우경;이상문
    • 전기학회논문지
    • /
    • 제66권9호
    • /
    • pp.1364-1372
    • /
    • 2017
  • In this paper, a problem of event-triggered model predictive control is investigated for continuous-time Takagi-Sugeno (T-S) fuzzy systems with input quantization. To efficiently utilize network resources, event-trigger is employed, which transmits limited signals satisfying the condition that the measurement of errors is over the ratio of a certain level. Considering sampling and quantization, continuous Takagi-Sugeno (T-S) fuzzy systems are regarded as a sector bounded continuous-time T-S fuzzy systems with input delay. Then, a model predictive controller (MPC) based on parallel distributed compensation (PDC) is designed to optimally stabilize the closed loop systems. The proposed MPC optimize the objective function over infinite horizon, which can be easily calculated and implemented solving linear matrix inequalities (LMIs) for every event-triggered time. The validity and effectiveness are shown that the event triggered MPC can stabilize well the systems with even smaller average sampling rate and limited actuator signal guaranteeing optimal performances through the numerical example.

Stability and Robust H Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances

  • Kim, Ki-Hoon;Park, Myeong-Jin;Kwon, Oh-Min;Lee, Sang-Moon;Cha, Eun-Jong
    • Journal of Electrical Engineering and Technology
    • /
    • 제11권1호
    • /
    • pp.200-214
    • /
    • 2016
  • This paper investigates the problem of stability analysis and robust H controller for time-delayed systems with parameter uncertainties and stochastic disturbances. It is assumed parameter uncertainties are norm bounded and mean and variance for disturbances of them are known. Firstly, by constructing a newly augmented Lyapunov-Krasovskii functional, a stability criterion for nominal systems with time-varying delays is derived in terms of linear matrix inequalities (LMIs). Secondly, based on the result of stability analysis, a new controller design method is proposed for the nominal form of the systems. Finally, the proposed method is extended to the problem of robust H controller design for a time-delayed system with parameter uncertainties and stochastic disturbances. To show the validity and effectiveness of the presented criteria, three examples are included.

INTEGRATED CONTROL SYSTEM DESIGN OF ACTIVE FRONT WHEEL STEERING AND FOUR WHEEL TORQUE TO IMPROVE VEHICLE HANDLING AND STABILITY

  • Wu, J.Y.;Tang, H.J.;Li, S.Y.;Zheng, S.B.
    • International Journal of Automotive Technology
    • /
    • 제8권3호
    • /
    • pp.299-308
    • /
    • 2007
  • This study proposes a two-layer hierarchical control system that integrates active front wheel steering and four wheel braking torque control to improve vehicle handling performance and stability. The first layer is a robust model matching controller (R-MMC) based on linear matrix inequalities (LMIs), which optimizes an active front steering angle compensation and a desired yaw moment control, and calculates reference wheel slip for the target wheel according to the desired yaw moment. The second layer is a moving sliding mode controller (MSMC) that can track the reference wheel slip in a predetermined time by commanding proper braking torque on the target wheel to achieve the desired yaw moment. Since vehicle sideslip angle measurement is difficult to achieve in practice, a sliding mode observer (SMO) that requires only vehicle yaw rate as the measured input is also developed in this study. The performance and robustness of the SMO and the integrated control system are demonstrated through comprehensive computer simulations. Simulation results reveal the satisfactory tracking ability of the SMO, and the superior improved vehicle handling performance, stability and robustness of the integrated control vehicle.

Mixed $H_2/H_{\infty}$ Finite Memory Controls for Output Feedback Controls of Discrete-time State-Space Systems

  • Ahn, Choon-Ki;Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2005년도 ICCAS
    • /
    • pp.529-534
    • /
    • 2005
  • In this paper, a new type of output feedback control, called a $H_2/H_{\infty}$ fnite memory control (FMC), is proposed for deterministic state space systems. Constraints such as linearity, unbiasedness property, and finite memory structure with respect to an input and an output are required in advance to design $H_2/H_{\infty}$ FMC in addition to the performance criteria in both $H_2$ and $H_{\infty}$ sense. It is shown that $H_2$, $H_{\infty}$, and mixed $H_2/H_{\infty}$ FMC design problems can be converted into convex programming problems written in terms of linear matrix inequalities (LMIs) with some linear equality constraints. Through simulation study, it is illustrated that the proposed $H_2/H_{\infty}$ FMC is more robust against uncertainties and faster in convergence than the existing $H_2/H_{\infty}$ output feedback control schemes.

  • PDF

완화된 안정도 조건을 갖는 강인한 디지털 퍼지 제어기 설계: 전역적 디지털 재설계 접근법 (Development of Robust Fuzzy Controller with Relaxed Stability Condition: Global Intelligent Digital Redesign Approach)

  • 성화창;김진규;주영훈;박진배
    • 제어로봇시스템학회논문지
    • /
    • 제13권5호
    • /
    • pp.487-492
    • /
    • 2007
  • This paper presents the development of digital robust fuzzy controller for uncertain nonlinear systems. The proposed approach is based on the intelligent digital redesign(IDR) method with considering the relaxed stability condition of fuzzy control system. The term IDR in the concerned system is to convert an existing analog robust control into an equivalent digital counterpart in the sense of the state-matching. We shows that the IDR problem can be reduced to find the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital robust control systems. Its constructive conditions are expressed as the linear matrix inequalities(LMIs) and thereby easily tractable by the convex optimization techniques. Based on the nonquadratic Lyapunov function, the robust stabilization conditions are given for the sampled-data fuzzy system, and hence less conservative. A numerical example, chaotic Lorentz system, is demonstrated to visualize the feasibility of the proposed methodology.

디지털 제어기의 부분적 초기값 보상을 통한 천이 응답 특성 향상 (Improvement of the Transient Response by Partially Compensating Initial Values of Digital Controllers)

  • 도태용;류정래
    • 제어로봇시스템학회논문지
    • /
    • 제19권4호
    • /
    • pp.285-289
    • /
    • 2013
  • In switching from the track-seeking or track-jumping control mode to track-following control mode in hard disk drives or optical disk drives, initial values of the feedback controller are tuned to improve the transient response. In general, all the initial values of the controller have been compensated for this purpose. In this paper, by partially compensating initial values of digital controllers, we achieve a good performance of the transient response. In the proposed method for IVC (Intial Value Compensation), LMIs (Linear Matrix Inequalities) are used, which includes conditions for improving the performance of the transient response such as reducing a tracking error and control efforts. We obtain optimal initial values of the controller by solving an optimization problem with constraints represented by only one LMI. Although initial values of the controller are partially compensated, we can show that not only a sufficient performance of the transient response is obtained but also control efforts are diminished. The feasibility of the method is verified by simulation studies.

BMI의 반복적 해법을 이용한 주파수하중 차수축소 ((Frequency Weighted Reduction Using Iterative Approach of BMI))

  • 김용태;오도창;박홍배
    • 전자공학회논문지SC
    • /
    • 제39권1호
    • /
    • pp.33-41
    • /
    • 2002
  • 본 논문에서는 기존의 주파수하중 균형절단 기법과 주파수하중 한켈노옴 근사화 기법에 비하여 더 작은 H∞ 하중 축소오차를 가지는 새로운 알고리듬을 제시한다. 제시한 알고리듬은 제한 실 보조정리로부터 반복적인 두 단계의 선형행렬부등식 형태로 유도한다. 또한 제안한 알고리듬을 성능보장을 위한 제어기 차수축소기법에 적용한다. 수치적 예를 통하여 제안한 알고리듬의 타당성을 보이고 기존의 모델 차수축소기법과 비교 분석하며 HIMAT(highly maneuverable aircraft technology) 시스템의 예를 통하여 성능보장을 위한 제어기 차수축소 기법에 적용할 수 있음을 보인다.

불확실성을 갖는 퍼지 시스템의 출력궤환 견실 $H^infty$ 제어 (Output Feedback Robust $H^infty$ Control for Uncertain Fuzzy Dynamic Systems)

  • Lee, Kap-Lai;Kim, Jong-Hae;Park, Hong-Bae
    • 전자공학회논문지SC
    • /
    • 제37권6호
    • /
    • pp.15-24
    • /
    • 2000
  • 본 논문에서는 불확실성을 갖는 비선형 시스템의 출력 궤환 퍼지 H∞ 제어 문제를 고려한다. 비선형 시스템은 Takagi-Sugeno(T-S) 퍼지모델로 나타내고 제어기 설계는 퍼지모델을 이용하여 설계한다. Lyapunov 함수를 이용하여 퍼지모델에 대한 폐-루프 시스템의 안정성뿐만 아니라 외란감쇠에 대한 L₂ 이득 성능을 보장하는 충분조건을 유도한다. 유도된 조건식 으로부터 퍼지 H∞ 제어기가 존재할 충분조건을 선형 행렬부등식으로 나타내고, 이 선형 행렬부등식의 해로부터 제어기를 설계하는 알고리듬을 제시한다. 설계된 제어기는 비선형이며 퍼지 동작에 의해 자동적으로 조정된다.

  • PDF

Advances in the design of macroporous polymer scaffolds for potential applications in dentistry

  • Bencherif, Sidi A.;Braschler, Thomas M.;Renaud, Philippe
    • Journal of Periodontal and Implant Science
    • /
    • 제43권6호
    • /
    • pp.251-261
    • /
    • 2013
  • A paradigm shift is taking place in medicine and dentistry from using synthetic implants and tissue grafts to a tissue engineering approach that uses degradable porous three-dimensional (3D) material hydrogels integrated with cells and bioactive factors to regenerate tissues such as dental bone and other oral tissues. Hydrogels have been established as a biomaterial of choice for many years, as they offer diverse properties that make them ideal in regenerative medicine, including dental applications. Being highly biocompatible and similar to native extracellular matrix, hydrogels have emerged as ideal candidates in the design of 3D scaffolds for tissue regeneration and drug delivery applications. However, precise control over hydrogel properties, such as porosity, pore size, and pore interconnectivity, remains a challenge. Traditional techniques for creating conventional crosslinked polymers have demonstrated limited success in the formation of hydrogels with large pore size, thus limiting cellular infiltration, tissue ingrowth, vascularization, and matrix mineralization (in the case of bone) of tissue-engineered constructs. Emerging technologies have demonstrated the ability to control microarchitectural features in hydrogels such as the creation of large pore size, porosity, and pore interconnectivity, thus allowing the creation of engineered hydrogel scaffolds with a structure and function closely mimicking native tissues. In this review, we explore the various technologies available for the preparation of macroporous scaffolds and their potential applications.

Digital Fuzzy Control of Nonlinear Systems Using Intelligent Digital Redesign

  • Lee, Ho-jae;Kim, Hag-bae;Park, Jin-bae;Cha, Dae-bum;Joo, Young-hoon
    • 한국지능시스템학회논문지
    • /
    • 제11권7호
    • /
    • pp.621-627
    • /
    • 2001
  • In this paper, a novel and efficient global intelligent digital redesign technique for a Takagi-Sugeno (TS) fuzzy system is addressed. The proposed method should be notably discriminated from the previous works in that in allows us to globally match the states of the closed-loop TS fuzzy system with the pre-designed continuous-time fuzzy-model-based controller and those with the digitally redesigned fuzzy-model-based controller, and further to guarantee the stabilizability by the redesigned controller in the sense of Lyapunov. Sufficient conditions for the global state-matching and the stability of the digitally controller system are formulated in terns of linear matrix inequalities (LMIs). The Duffing-like chaotic oscillator is simulated and demonstrated, to validate the effectiveness of the proposed digital redesign technique, which implies the safe applicability to the digital control system.

  • PDF