• 제목/요약/키워드: Terminal weighting matrix

검색결과 8건 처리시간 0.029초

Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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Receding horizon controller deign for fuzzy systems with input constraints

  • Jeong, Seung-Cheol;Choi, Doo-Jin;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.83.4-83
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    • 2002
  • $\bullet$ We present a state-feedback RHC for discrete-time TS fuzzy systems with input constriants. $\bullet$ The controller employ the current and one-step past information on the fuzzy weighting functions. $\bullet$ It is obtained from the finite horizon optimization problem with the invariant ellipsoid constraint $\bullet$ Under parameterized LMI conditions on the terminal weighting matrix $\bullet$ The closed-loop system stability is guaranteed. $\bullet$ The parameterized linear matrix inequalities are relaxed to a finite number of solvable LMIs.

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Stabilizing Receding Horizon $H_\infty$ Control for Linear Discrete Time-varying Systems

  • Kim, Ki-Baek;Yoon, Tae-Woong;Kwon, Wook-Hyung
    • 전기의세계
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    • 제49권9호
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    • pp.17-24
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    • 2000
  • This paper presents sufficient conditions7 for monotonicity of the saddle point value for receding-horizon H$\infty$ control(RHHC). The resulting monotonicity is used to prove the stability of the closed-loop. Under these sufficient conditions the well-known terminal equality condition is handled as a special case and the condition on the state weighting matrix is weakened so as to include even the zero matrix. The whole procedure is much simpler than the previous results and thus is expected to be easily extended for constrained delayed and/or nonlinear systems with the RHHC.

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RHC를 기반으로 하는 열간압연 루퍼 제어 (RHC based Looper Control for Hot Strip Mill)

  • 박철재
    • 제어로봇시스템학회논문지
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    • 제14권3호
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    • pp.295-300
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    • 2008
  • In this paper, a new looper controller is proposed to minimize the tension variation of a strip in the hot strip finishing mill. The proposed control technology is based on a receding horizon control (RHC) to satisfy the constraints on the control input/state variables. The finite terminal weighting matrix is used instead of the terminal equality constraint. The closed loop stability of the RHC for the looper system is analyzed to guarantee the monotonicity of the optimal cost. Furthermore, the RHC is combined with a 4SID(Subspace-based State Space System Identification) model identifier to improve the robustness for the parameter variation and the disturbance of an actuator. As a result, it is shown through a computer simulation that the proposed control scheme satisfies the given constraints on the control inputs and states: roll speed, looper current, unit tension, and looper angle. The control scheme also diminishes the tension variation for the parameter variation and the disturbance as well.

Static Output Feedback Model Predictive Tracking Control for Linear Systems with Uncertainty

  • Kim, San-Gun;Lee, Sang-Moon;Won, Sang-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.292-295
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    • 2003
  • In this paper, we present static output feedback model predictive tracking control for linear system with uncertainty. The proposed control law is based on integral action form to provide zero o��set for constant command signals and the closed loop stability is guaranteed under linear matrix inequality conditions on the terminal weighting matrix using the decreasing monotonicity property of the performance index. Through simulation examples, we illustrate that the proposed schemes can be appropriate tracking controllers for uncertain system.

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Output feedback receding horizon control for uncertain LTV systems

  • Seuncheol Jeong;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.27.3-27
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    • 2001
  • In this paper, a robust receding horizon controller for uncertain linear time-varying systems is presented in the dynamic output-feedback form. The existing output-feedback receding horizon controller in the literature is composed of a state observer and a static controller associated with the observer states (similar to LQC control), where the fundamental assumption is that the state observer will supply the exact states as time goes up. The performance of those controllers may be much degraded and even the closed-loop stability may not be guaranteed when the system suffers from disturbances and uncertainties or is time-varying. The proposed controller, which is not necessary to have the state-observer, overcomes such difficulties. Using matrix inequality conditions on the terminal weighting matrix, the closed-loop system stability is guaranteed. Numerical examples are ...

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Dynamic Output-Feedback Receding Horizon H$_{\infty}$ Controller Design

  • Jeong, Seung-Cheol;Moon, Jeong-Hye;Park, Poo-Gyeon
    • International Journal of Control, Automation, and Systems
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    • 제2권4호
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    • pp.475-484
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    • 2004
  • In this paper, we present a dynamic output-feedback receding horizon $H_{\infty}$controller for linear discrete-time systems with disturbance. The controller is obtained numerically from the finite horizon output-feedback $H_{\infty}$optimization problem, which is, in fact, hardly solved analytically. Under a matrix inequality condition on the terminal weighting matrix, the monotonic decreasing property of the cost is shown. This property guarantees both the closed-loop stability and the $H_{\infty}$norm bound. Then, we extend the proposed design method to a reference tracking problem and a problem for time-varying systems. Numerical examples are given to illustrate the performance of the proposed controller.

탄성표면파 필터의 성능 개선을 위한 임피던스 정합의 해석적 방법 (Impedance-matching Method Improving the Performance of the SAW Filter)

  • 이영진;이승희;노용래
    • 한국음향학회지
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    • 제20권5호
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    • pp.69-75
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    • 2001
  • 본 연구에서는 일반적인 1, 2단자쌍 회로망의 임피던스 정합회로를 간단하고 빠르게 구할수 있는 새로운 방법을 제시하였다. 먼저 임피던스 정합 대상인 1단자쌍 또는 2단자쌍 회로망에 인덕터와 캐패시터의 조합으로 이루어진 임의의 L-회로망 형태의 정합회로가 포함된 전체 회로망 구조를 설정하고, 이 구조에 대한 전송행렬을 계산한 뒤에 회로망 양단의 부하저항 조건을 적용하여 전체 회로망의 입출력 임피던스를 구하였다. 이 식으로부터 정합용 소자의 정확한 값을 연립방정식을 이용하여 계산하였다. 본 연구의 타당성을 검증하기 위해 CDMA(code division multiple access)용 소자로 널리 사용되는 중간주파수 대 역 withdrawal 가중형 SAW필터 에 본 연구에서 제시한 방법을 적용하여 임피던스 정합 전후의 특성변화를 시뮬레이션과 실험을 통하여 확인하였다. 그 결과 85.38 MHz의 중심주파수에서 비대역폭이 1.2% 삽입손실이 29 dB, VSWR (voltage standing wave ratio)이 80인 필터를 본 연구방법을 이용하여 정합한 경우에 각각의 성능이 1.8%, 9 dB, 3으로 향상됨을 시뮬레이션과 실험을 통해 확인하였다. 본 연구결과는 SAW (surface acoustic wave) 디바이스의 정합에 매우 용이하게 이용될 수 있을 뿐만 아니라 다른 형태의 1, 2단자쌍 회로망의 임피던스 정합에도 널리 사용될 수 있다.

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