• Title/Summary/Keyword: Quadratic stability

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Stability of intervalwise receding horizon control for linear tie-varying systems

  • Ki, Ki-Baek;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.430-433
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    • 1997
  • In this paper, an intervalwise receding horizon control (IRHC) is proposed which stabilizes linear continuous and discrete time-varying systems each other by means of a feedback control stemming from a receding horizon concept and a minimum quadratic cost. The results parallel those obtained for continuous [4],[9] and discrete time varying system [5],[15] each other.

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Closed-loop predictive control using periodic gain

  • Lee, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.173-176
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    • 1994
  • In this paper a closed-form predictive control which takes the intervalwise receding horizon strategy is presented and its stability properties are investigated. A slate-space form output predictor is derived which is composed of the one-step ahead optimal output prediction, input and output data of the system. A set of feedback gains are obtained using the dynamic programming algorithm so that they minimize a multi-stage quadratic cost function and they are used periodically.

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Extension and Simplification of Inverse LQ Regulator of Large Scale Systems by Decentralized Control

  • Kubo, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.26-30
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    • 2005
  • An LMI based method to construct a decentralized control law for large scale systems is discussed. It is extended to assure the stability not only of the overall system but also of each subsystem without interconnection. Then, it is simplified to have local feedback loops only for some selected subsystems.

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Decomposed Linear Quadratic Gaussian with Loop Transfer Recovery Controller Design for an Undersea Vehicle (수중운동체를 위한 분할 LQG/LTR 제어기 구성)

  • Han, Hyung-Seok;Lee, Jang-Gyu
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.121-124
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    • 1989
  • In this thesis, a decomposed LQG/LTR controller is designed for an undersea vehicle. The modellig error which results from decomposition of the original model is considered to the design specification for maintaining the robust stability. The LQG/LTR controller designed with new specification is simulated.

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State Feedback Controller Design for Control Moment Gyroscope (Control Moment Gyroscope의 상태되먹임 제어기 설계)

  • Kim, Tae-Yeon;Lyou, Joon
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.70-71
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    • 2007
  • This paper presents an application of LQR(Linear Quadratic Regulator) for experimental control moment gyroscope. To be specific, mathematical model is first derived based on the quaternion and Lagrange's equation, state feedback controller using LQR scheme is designed, and to show the stability of the scheme, experimental results are given.

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Structure-Activity Relationship Study on Cephalosporins with Mechanism-based Descriptors

  • Jun-Ho Choi;Hojing Kim
    • Bulletin of the Korean Chemical Society
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    • v.14 no.5
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    • pp.631-635
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    • 1993
  • The polarizability and the transition state energy of a cephalosporin are assumed to be theoretical indices of the permeability through the outer membrane and of reactivity of ${\beta}$ -lactam ring with penicillin binding proteins, respectively, in Gram-negative bacteria. They are computed by AM1 method and used as variables of quantitative structure-activity relationship study. The results justify quadratic dependence of the activity on the variables. The intersection of difference volumes between $\beta-lactamase$ stable cephalosporins and unstable ones manifests that the steric hindrance of 7-side chain is responsible for the ${\beta}$ -lactamase stability.

COCYCLE EQUATIONS VIA COCHAINS AND HYPERSTABILITY OF RELATED FUNCTIONAL EQUATIONS

  • Young Whan Lee
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.865-876
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    • 2023
  • This paper presents properties of the cocycle equations via cochains on a semigroup. And then we offer hyperstability results of related functional equations using the properties of cocycle equations via cochains. These results generalize hyperstability results of a class of linear functional equation by Maksa and Páles. The obtained results can be applied to obtain hyperstability of various functional equations such as Euler-Lagrange type quadratic equations.

Effects of Inclusion Levels of Dietary Vitamins and Trace Minerals on Growth Performance and Pork Stability in Finishing Pigs

  • Chae, B.J.;Choi, S.C.;Cho, W.T.;Han, In K.;Sohn, K.S.
    • Asian-Australasian Journal of Animal Sciences
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    • v.13 no.10
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    • pp.1445-1449
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    • 2000
  • A total of one hundred twenty pigs ($L{\times}Y{\times}D$, $50{\pm}0.78kg$) were employed for a 7-week feeding trial to determine the effect of inclusion levels of vitamin and mineral (VTM) premixes on growth performance, nutrient digestibility and pork stability in finishing pigs. Treatments were 100% (Control), 150%, 200%, and 250% of NRC (1998) requirements. Increasing dietary VTM premixes in finishing pigs had a linear (p<0.05) effect on ADG. It also had a linear effect (p<0.05) on the digestibility of calcium and a linear and quadratic effect (p<0.05) on the digestibility of phosphorus. As dietary VTM levels were increased from 100 to 250% NRC (1998), TBARS values of pork samples were linearly (p<0.05) lowered when stored at $1^{\circ}C$ for 2 or 3 weeks. There was also a trend reducing POV of pig meat as dietary VTM level was increased. In conclusion, it would appear that inclusion of VTM premixes at the level of 200-250% of NRC (1998) requirements gave positive effects on growth performance and pork stability in finishing pigs.

Analysis of slope stability based on evaluation of force balance

  • Razdolsky, A.G.;Yankelevsky, D.Z.;Karinski, Y.S.
    • Structural Engineering and Mechanics
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    • v.20 no.3
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    • pp.313-334
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    • 2005
  • The paper presents a new approach for the analysis of slope stability that is based on the numerical solution of a differential equation, which describes the thrust force distribution within the potential sliding mass. It is based on the evaluation of the thrust force value at the endpoint of the slip line. A coupled approximation of the slip and thrust lines is applied. The model is based on subdivision of the sliding mass into slices that are normal to the slip line and the equilibrium differential equation is obtained as the slice width approaches zero. Opposed to common iterative limit equilibrium procedures the present method is straightforward and gives an estimate of slope stability at the value of the safety factor prescribed in advance by standard requirements. Considering the location of the thrust line within the soil mass above the trial slip line eliminates the possible development of a tensile thrust force in the stable and critical states of the slope. The location of the upper boundary point of the thrust line is determined by the equilibrium of the upper triangular slice. The method can be applied to any smooth shape of a slip line, i.e., to a slip line without break points. An approximation of the slip and thrust lines by quadratic parabolas is used in the numerical examples for a series of slopes.

Robustness Bounds of the Vertical Take-Off and Landing Aircraft System with Structured Uncertainties

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.459-459
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    • 2000
  • The purpose of this paper is the application of the techniques for the new estimation of robustness for the aircraft systems having structured uncertainties. The basic ideas to analyze the system which is the originally nonlinear is Lyapunov direct theorems. The nonlinear systems have various forms of terms inside the system equations and this investigation is confined in the form of bounded uncertainties. The number of uncertainties will be the degree of freedoms in the calculation of the robust stability regions called the robustness bounds. This proposition adopts the theoretical analysis of the Lyapunov direct methods, that is, the sign properties of the Lyapunov function derivative integrated along finite intervals of time, in place of the original method of the sign properties of the time derivative of the Lyapunov function itself. This is the new sufficient criteria to relax the stability condition and is used to generate techniques for the robust design of control systems with structured perturbations. Using this relaxing stability conditions, in this paper, the quadratic form of Lyapunov function is utilized. In this paper, the practical system of vertical take-off and landing (VTOL) aircraft is analyzed with the proposed stability criteria based upon the Lyapunov direct method. The application of numerical procedures can prove the improvements in estimations of robustness with structured uncertainties. The applicable aircraft system is assumed to be linear with time-varying with nonlinear bounded perturbations.

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