• Title/Summary/Keyword: Suboptimal control

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Robust Optimal Bang-Bang Controller Using Lyapunov Robust Stability Condition (Lyapunov 강인 안정성 조건을 이용한 강인 최적 뱅뱅 제어기)

  • Park Young-Jin;Moon Seok-Jun;Park Youn-Sik;Lim Chae-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.411-418
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    • 2006
  • There are mainly two types of bang-bang controllers for nominal linear time-invariant (LTI) system. Optimal bang-bang controller is designed based on optimal control theory and suboptimal bang-bang controller is obtained by using Lyapunov stability condition. In this paper, the suboptimal bang-bang control method is extended to LTI system involving both control input saturation and structured real parameter uncertainties by using Lyapunov robust stability condition. Two robust optimal bang-bang controllers are derived by minimizing the time derivative of Lyapunov function subjected to the limit of control input. The one is developed based on the classical quadratic stability(QS), and the other is developed based on the affine quadratic stability(AQS). And characteristics of the two controllers are compared. Especially, bounds of parameter uncertainties which theoretically guarantee robust stability of the two controllers are compared quantitatively for 1DOF vibrating system. Moreover, the validity of robust optimal bang-bang controller based on the AQS is shown through numerical simulations for this system.

(Suboptimal Detection Thresholds for Tracking in Clutter) (클러터 환경에서의 표적 추적을 위한 준최적의 검출 문턱값)

  • Jeong, Yeong-Heon;Sin, Han-Seop
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.2
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    • pp.176-181
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    • 2002
  • In this paper, we consider the optimal control of detection threshold to minimize the conditional expectation of mean-square state estimation error for a probabilistic data association (PDA) filter. Earlier works on this problem involved the cumbersome graphical optimization algorithm or time-consuming numerical optimization algorithm. Using the numerical approximation of information reduction factor, we obtained the suboptimal detection threshold in a closed-form. This results are very useful for real- time implementation.

A Simple LQ Suboptimal Control Scheme for a DC-DC Step-Down Converter Based on Approximate Affine Discretization of Continuous-Time PWM Linear Systems (연속시간 PWM 선형 시스템의 근사 어파인 이산화를 통한 DC-DC 강압 컨버터의 간단한 LQ 준최적 제어 기법)

  • Lee, Jae-Young;Park, Jin-Bae;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1872-1873
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    • 2011
  • This paper presents a discrete-time approximate linear model of the continuous-time pulse-width-modulated linear system, and then, by employing the resultant model, a simple LQ suboptimal control scheme is proposed for a DC-DC step-down buck converter. The proposed scheme effectively regulates the output voltage to the desired level, which is also verified by the numerical simulation.

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A State Feedback Controller Design for a Networked Control System with a Markov Delay (마코프 지연을 갖는 네트워크 제어 시스템을 위한 상태 궤환 제어기 설계)

  • Yang, Janghoon
    • Journal of Advanced Navigation Technology
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    • v.24 no.6
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    • pp.549-556
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    • 2020
  • This paper proposes several suboptimal methods of designing a controller for a networked control system with state feedback where delay due to transmission error and transmission delay is modeled as a Markov process. A stability condition for a control system with Markov delay is found through an equivalent relationship that corresponding delay-dependent Lyapunov-Krasovskii functional has the same form of the Lyapunov function of an augmented control system. Several suboptimal methods of designing a controller from the stability condition are proposed to reduce complexity. A simple numerical experiment shows that a restricted subspace method which limits the search space of a matrix variable to a block diagonal form provides the best tradeoff between the complexity and performance.

$H_\infty$ and Time-Varying Sliding Mode Control of Underwater Vehicle (수중운동체의 $H_\infty$및 시변슬라이딩모드 제어)

  • 박철재;이만형;홍금식
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.540-545
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    • 1993
  • When modeling an underwater vehicle uncertainty arises in the presence of unsteady flow. It is difficult to include the uncertainty in the model and is therefore desirable to investigate robust controller design methods for the underwater vehicle. In the paper two robust control methods are applied for the underwater system. One is standard H$_{\infty}$ control and the other is time-varying sliding mode control with modified saturation function. Suboptimal design parameters for H$_{\infty}$ control and design parameters for time-varying switching surfaces are provided. Simulations and comparison are carried out.t.

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Delay-dependent Guaranteed Cost Control for Uncertain Time-delay Systems (불확실 시간지연 시스템에 대한 지연량을 고려한 성능보장 제어)

  • 이영삼;문영수;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.13-13
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    • 2000
  • This paper considers delay-dependent guaranteed cost control for uncertain time-delay systems with norm-bounded parametric uncertainties. A new delay-dependent condition for the existence of the guaranteed cost control law is presented in terms of linear matrix inequalities (LMI). An algorithm involving convex optimization is proposed to design a controller which guarantees the suboptimal minimum of the guaranteed cost of the closed-loop system for all admissible uncertainties.

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THEORETICAL STUDIES ON FRICTION DRAG REDUCTION CONTROL WITH THE AID OF DIRECT NUMERICAL SIMULATION - A REVIEW

  • Fukagata, Koji
    • Journal of computational fluids engineering
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    • v.13 no.4
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    • pp.96-106
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    • 2008
  • We review a series of studies on turbulent skin friction drag reduction in wall-turbulence recently conducted in Japan. First, an identity equation relating the skin friction drag and the Reynolds shearstress (the FIK identity) is introduced. Based on the implication of the FIK identity, a new analytical suboptimal feedback control law requiring the streamwise wall-shear stress only is introduced and direct numerical simulation (DNS) results of turbulent pipe flow with that control is reported. We also introduce DNS of an anisotropic compliant surface and parameter optimization using an evolutionary optimization technique.

$H^{\infty}$ robust adaptive controller design with parameter uncertainty, unmodeled dynamic and bounded noise (파라미터 불확실성,모델 불확실성,한계 잡음에 대한 $H^{\infty}$ 적응제어기 설계)

  • Baek, Nam-Seok;Yang, Won-Young
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.454-456
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    • 1998
  • Traditional adaptive control algorithms are not robust to dynamic uncertainties. The adaptive control algorithms developed previously to deal with dynamic uncertainties do not facilitate quantitative design. We proposed a new robust adaptive control algorithms consists of an $H^{\infty}$ suboptimal control law and a robust parameter estimator. Numerical examples showing the effectiveness of the $H^{\infty}$ adaptive scheme are provided.

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Suboptimal Adaptive Filters for Stochastic Systems with Multisensor Environment

  • Shin, Vladimir;Ahn, Jun-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.2045-2050
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    • 2004
  • An optimal combination of arbitrary number correlated estimates is derived. In particular, for two estimates this combination represents the well-known Millman and Bar-Shalom-Campo formulae for uncorrelated and correlated estimation errors, respectively. This new result is applied to the various estimation problems as least-squares estimation, Kalman filtering, and adaptive filtering. The new approximate adaptive filter with a parallel structure is proposed. It is shown that this filter is very effective for multisensor systems containing different types of sensors. Examples demonstrating the accuracy of the proposed filter are given.

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