• 제목/요약/키워드: Linear Matrix Inequality(Lmi)

검색결과 352건 처리시간 0.026초

Robust Guaranteed Cost Filtering for Uncertain Systems with Time-Varying Delay Via LMI Approach

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
    • /
    • 제3권1호
    • /
    • pp.27-31
    • /
    • 2001
  • In this paper, we consider the guaranteed cost filtering design method for time-varying delay system with parameter uncertainties by LMI(Linear Matrix Inequality) approach. The objective is to design a stable guaranteed cost filter which minimizes the guaranteed cost fo the closed loop systems in filtering error dynamics. The sufficient conditions for the existence of filter, the guaranteed cost filter design method, and th guaranteed cost upper bound are proposed by LMI technique in terms of all finding variables. Finally, we give an example to check the validity of the proposed method.

  • PDF

LMI를 이용한 퍼지 시스템의 슬라이딩 모드 관측기 설계 (Sliding Mode Observer for Fuzzy System: An LMI Approach)

  • 송민국;주영훈;박진배
    • 한국지능시스템학회논문지
    • /
    • 제16권4호
    • /
    • pp.506-511
    • /
    • 2006
  • 본 논문에서는 비선형 시스템의 슬라이딩 모드 관측기 설계에 대해서 논의한다. 제어 대상인 비선형 시스템을 모델링 하는데 있어서 Takagi-Sugeno(T-S) 퍼지 모델 기법을 이용하였고, 이때 발생할 수 있는 모델 불확실성과 외란에 대해 그 것의 최대 최소 범위를 안다고 가정하였다. 제안된 시스템의 LMI (Linear Matrix Inequality)를 기반으로 한 슬라이딩 모드 관측기 설계 방법에서는 관측기와 시스템의 차이를 슬라이딩 표면으로 설정한다. 안정한 슬라이딩 표변을 갖는 슬라이딩 관측기의 존재 가능성을 선형 행렬 부등식의 형태로 표현한다. 슬라이딩 모드 관측기 이득은 LMI 존재 조건의 해를 이용하여 구한다. 모의 실험을 통하여 논문에서 제안한 슬라이딩 모드 관측기의 성능을 시험한다.

Robust control of linear systems under structured nonlinear time-varying perturbations I - Analysis

  • Bambang, Riyanto-T.;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
    • /
    • pp.81-87
    • /
    • 1993
  • In this paper robust stability conditions are obtained for linear dynamical systems under structured nonlinear time-varying perturbations, using absolute stability theory and the concept of dissipative systems. The conditions are expressed in terms of solutions to linear matrix inequality(LMI). Based on this result, a synthesis methodology is developed for robust feedback controllers with worst-case H$_{2}$ perforrmance via convex optimization and LMI formulation.

  • PDF

구조적인 제약이 있는 이산시간 선형시스템의 정적출력 되먹임 안정화 제어기 설계 (Structured Static Output Feedback Stabilization of Discrete Time Linear Systems)

  • 이준화
    • 제어로봇시스템학회논문지
    • /
    • 제21권3호
    • /
    • pp.233-236
    • /
    • 2015
  • In this paper, a nonlinear optimization problem is proposed to obtain a structured static output feedback controller for discrete time linear systems. The proposed optimization problem has LMI (Linear Matrix Inequality) constraints and a non-convex objective function. Using the conditional gradient method, we can obtain suboptimal solutions of the proposed optimization problem. Numerical examples show the effectives of the proposed approach.

선형행렬 부등식을 이용한 타원형 클러스터링 알고리즘 (Hyper-ellipsoidal clustering algorithm using Linear Matrix Inequality)

  • 이한성;박주영;박대희
    • 한국지능시스템학회논문지
    • /
    • 제12권4호
    • /
    • pp.300-305
    • /
    • 2002
  • 본 논문에서는 타원형 클러스터링을 위한 거리측정 함수로써 변형된 가우시안 커널 함수를 사용하며, 주어진 클러스터링 문제를 각 타원형 클러스터의 체적을 최소화하는 문 로 해석하고 이를 선형행렬 부등식 기법 중 하나인 고유값 문제로 변환하여 최적화하는 새로운 알고리즘을 제안한다.

제어입력 크기제한을 갖는 시스템에서 이득 스케줄 상태되먹임-외란앞먹임 제어 - 적용 (Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input - Application)

  • 강민식;윤우현
    • 한국정밀공학회지
    • /
    • 제24권12호
    • /
    • pp.65-73
    • /
    • 2007
  • In this paper, the gain scheduled state feedback and disturbance feedforward control design proposed in the previous paper has been applied to a simple matching system and a turret stabilization system. In such systems, it is needed to attenuate disturbance response effectively as long as control input satisfies the given constraint on its magnitude. The scheduled control gains are derived in the framework of linear matrix inequality(LMI) optimization by means of the MatLab toolbox. Its effectiveness is verified along with the simulation results compared with the conventional optimum constant gain control and the scheduled state feedback control cases.

고분자 전해질 연료전지 시스템의 퍼지 출력 궤환 제어기 설계: 공통 입력을 갖는 이산시간 비선형 상호결합 시스템 접근 (Fuzzy Output-Feedback Controller Design for PEMFC: Discrete-time Nonlinear Interconnected Systems with Common Inputs Approach)

  • 구근범;박진배;주영훈
    • 제어로봇시스템학회논문지
    • /
    • 제17권9호
    • /
    • pp.851-856
    • /
    • 2011
  • In this paper, the fuzzy output-feedback controller is addressed for a discrete-time nonlinear interconnected systems with common input. The nonlinear interconnected system is represented by a T-S (Takagi-Sugeno) fuzzy model. Based on T-S fuzzy interconnected system, the fuzzy output-feedback controller is designed with common input. The stability condition of the closed-loop system is represented to the LMI (Linear Matrix Inequality) form. PEMFC model is given to show the verification of the controller discussed throughout the paper.

자동 미끄럼 이동 로봇의 경로 추종을 위한 LMI 최적 제어 기법 (A Linear Matrix Inequality Optima Control for the Tracking of an Autonomous Gliding Vehicle)

  • 이진우
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
    • /
    • pp.335-335
    • /
    • 2000
  • Applications such as unmanned aerial vehicles (UAVs), autonomous underwater vehicles (AUVs) and the time varying nature of their navigation, guidance and control systems motivate an integrated approach to trajectory general ion and trajectory tracking for autonomous vehicles. In this paper, an experimental testbed was designed for studying this integrated trajectory control approach. In this paper we apply the separating approach to an autonomous nonlinear vehicle system. A new linear matrix inequality based H$_{\infty}$ control technique for periodic time-varying systems is applied to the role of trajectory tracking. Trajectory general ion is accomplished by exploit ing the differential flatness property of the vehicle system; this at lows product ion of desired feasible nominal or reference trajectories from certain ″flat'system outputs. Simulation and experimental results are presented showing stable tracking of a periodic circular trajectory.

  • PDF

다 개체 시스템의 상태 일치를 위한 이산 시간 출력 궤환 협조 제어 알고리즘 (Discrete-Time Output Feedback Algorithm for State Consensus of Multi-Agent Systems)

  • 김재용;이진영;김정수
    • 전기학회논문지
    • /
    • 제60권3호
    • /
    • pp.625-631
    • /
    • 2011
  • This paper presents a discrete-time output feedback consensus algorithm for Multi-Agent Systems (MAS). Under the assumption that an agent is aware of the relative state information about its neighbors, a state feedback consensus algorithm is designed based on Linear Matrix Inequality (LMI) method. In general, however, it is possible to obtain its relative output information rather than the relative state information. To reconcile this problem, an Unknown Input Observer (UIO) is employed in this paper. To this end, first it is shown that the relative state information can be estimated using the UIO and the measured relative output information. Then a certainty-equivalence type output feedback consensus algorithm is proposed by combining the LMI-based state feedback consensus algorithm with the UIO. Finally, simulation results are given to illustrate that the proposed method successfully achieves the state consensus.

상태-정합 성능 향상을 위한 지능형 디지털 재설계에 관한 새로운 충분조건들 (New Sufficient Conditions to Intelligent Digital Redesign for the Improvement of State-Matching Performance)

  • Kim, Do-Wan;Joo, Young-Hoon;Park, Jin-Bae
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
    • /
    • pp.293-296
    • /
    • 2006
  • This paper presents new sufficient conditions to an intelligent digital redesign (IDR). The purpose of the IDR is to effectively convert an existing continuous-time fuzzy controller to an equivalent sampled-data fuzzy controller in the sense of the state-matching. The state-matching error between the closed-loop trajectories is carefully analyzed using the integral quadratic functional approach. The problem of designing the sampled-data fuzzy controller to minimize the state-matching error as well as to guarantee the stability is formulated and solved as the convex optimization problem with linear matrix inequality (LMI) constraints.

  • PDF