• Title/Summary/Keyword: prescribed constraint control

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Robust Control for Unknown Disturbance of Robotic System Using Prescribed Tracking Error Constraint Control and Finite-Time SMC (규정된 추종오차 구속제어와 유한시간 슬라이딩 모드 제어를 이용한 로봇시스템의 미지의 외란에 대한 강인제어)

  • Ryu, Hyun-Jea;Shin, Dong-Suk;Han, Seong-Ik
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.5
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    • pp.320-325
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    • 2016
  • This paper presents a robust finite-time sliding mode control (SMC) scheme for unknown disturbance and unmodeled nonlinear friction and dynamics in the robotic manipulator. A finite-time SMC (FSMC) surface and finite-time sliding mode controller are constructed to obtain faster error convergence than the conventional infinite-time based SMC. By adding prescribed constraint control term to a finite-time SMC to compensate for unknown disturbance and uncertainties, a robust control scheme can be designed as well as faster convergence control. In addition, simpler controller structure is built by using feed-forwarding upper bound coefficients of each manipulator dynamic parameters instead of model-based control or adaptive observer to estimate unknown manipulator parameters. Simulation and experimental evaluations highlight the efficacy of the proposed control scheme for an articulated robotic manipulator.

Attitude Maneuver Control of Flexible Spacecraft by Observer-based Tracking Control

  • Hyochoong Bang;Oh, Choong-Seok
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.122-131
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    • 2004
  • A constraint equation-based control law design for large angle attitude maneuvers of flexible spacecraft is addressed in this paper The tip displacement of the flexible spacecraft model is prescribed in the form of a constraint equation. The controller design is attempted in the way that the constraint equation is satisfied throughout the maneuver. The constraint equation leads to a two-point boundary value problem which needs backward and forward solution techniques to satisfy terminal constraints. An observer-based tracking control law takes the constraint equation as the input to the dynamic observer. The observer state is used in conjunction with the state feedback control law to have the actual system follow the observer dynamics. The observer-based tracking control law eventually turns into a stabilized system with inherent nature of robustness and disturbance rejection in LQR type control laws.

Time-varying biased proportional navigation for terminal guidance with impact attitude angle constraint (충돌 자세각 제한조건을 갖는 종단 유도를 위한 시변 편향 비례항법)

  • 김병수;이보형;이장규;김삼수;조현진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.355-358
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    • 1996
  • The primary objective of guidance system is to generate suitable commands so that the pursuer comes closer to its target. It is necessary, however, in the guidance of a certain pursuer that the attitude angle at impact should be within a prescribed range in addition to specification on the miss distance. These guidance requirements can not be satisfied by the general guidance laws developed for miss distance minimization. Compared with the demand in many applications, the guidance laws dealing with impact attitude angle constraint are not easily found. In this paper, biased PNG laws are proposed to obtain the guidance purposes. By Lyapunov method, it is shown that the pursuer can intercept the target with a prescribed attitude angle under the assumption that the pursuer is sufficiently fast and the target maneuver is negligible. The simulation results are presented to demonstrate the performance of the suggested guidance laws.

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Control of a Segway with unknown control coefficient and input constraint

  • Park, Bong Seok
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.16 no.2
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    • pp.140-146
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    • 2016
  • This paper proposes a control method of the Segway with unknown control coefficient and input saturation. To design a simple controller for the Segway with the model uncertainty, the prescribed performance function is used. Furthermore, an auxiliary variable is introduced to deal with unknown time-varying control coefficient and input saturation problem. Due to the auxiliary variable, function approximators are not used in this paper although all model uncertainties are unknown. Thus, the controller can be simple. From the Lyapunov stability theory, it is proved that all errors of the proposed control system remain within the prescribed performance bounds. Finally, the simulation results are presented to demonstrate the performance of the proposed scheme.

An LMI-based PID Control Design Method for Uncertain MIMO Systems (불확실성을 갖는 MIMO 시스템을 위한 선형행렬부등식 기반 PID 제어기 설계 방법)

  • Lee, Jae-Kwan;Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.9
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    • pp.750-754
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    • 2005
  • This paper deals with the design problem of multivariable PID controllers guaranteeing the closed-loop system stability and a prescribed $H_\infty$ norm bound constraint. We reduce the problem to the static output feedback stabilization problem. We derive a necessary and sufficient condition f3r the existence of PID controllers and we give an explicit formula of PID controllers. We also give an existence condition of PID controllers guaranteeing a prescribed decay rate. Finally, we give an LMI-based design algorithm, together with a numerical design example.

Approximate Synthesis of 5-SS Multi Link Suspension Systems for Steering Motion (조향 운동을 고려한 5-SS 멀티링크 현가장치의 근사 합성)

  • Kim, Seon-Pyeong;Sim, Jae-Gyeong;An, Byeong-Ui;Lee, Eon-Gu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.1
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    • pp.32-38
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    • 2001
  • This paper presents an approximate synthesis of 5-SS multi link suspension for 2 D.O.F motions. In the proposed synthesis method, alteration curves of camber, toe, kingpin and caster angles are optimized during the bump rebound and the steering motions. And joint positions can be located within desired boundari es. Especially, steering motions are considered for control of kingpin offset and caster trail. Prescribed motions contain both wheel center positions and imaginary kingpin axes in the multi link type suspension. Constraint equations are formulated with di splacement matrix and velocity matrix using instantaneous screw axis.

[ $H_{\infty}$ ] Filtering for Descriptor Systems

  • Chen, Yue-Peng;Zhou, Zu-De;Zeng, Chun-Nian;Zhang, Qing-Ling
    • International Journal of Control, Automation, and Systems
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    • v.4 no.6
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    • pp.697-704
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    • 2006
  • The paper is concerned with $H_{\infty}$ filtering for descriptor systems. A necessary and sufficient condition is established in terms of linear matrix inequalities(LMIs) for the existence of normal filters such that the error systems are admissible and the transfer function from the disturbance to the filtering error output satisfies a prescribed $H_{\infty}$-norm bound constraint. When these LMIs are feasible, an explicit parameterization expression of all desired normal filter is given. All these results are yielded without decomposing the original descriptor systems, which makes the filter design procedure simple and direct. Finally, a numerical example is derived to demonstrate the applicability of the proposed approach.