• Title/Summary/Keyword: Backstepping Control

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A Backstepping Design with Sliding Mode Control for Uncertain Discrete System

  • Park, Seung-Kyu;Kim, Min-Chan;Kim, Tae-Won;Ahn, Ho-Kyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.63.6-63
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    • 2002
  • The technique of backstepping have can avoid cancellations of useful nonlinearities. It is widely used in nonlinear adaptive control. But it is difficult to use this technique for uncertain nonlinear systems. Sliding mode control has robustness and application with feedback linearization. This paper shows that the robustness can be used for back stopping technique to solve the uncertainty problem and to improve the scalar design problem using Control Lyapunov function which is the motivation of back stepping technique with recursive design for high-order systems. In the respect of SMC, the result of this paper does not need to satisfy the matching condition.

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Integrated Guidance and Control Design Based on Adaptive Neural Network for Unpowered Air Vehicle (무추력 비행체를 대상으로 한 적응 통합 유도제어기 설계)

  • Kim, Boo-Min;Sung, Duck-Yong;Sung, Jea-Min;Kim, Byoung-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.1
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    • pp.15-22
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    • 2009
  • The guidance controller of the conventional aircraft consists of inner-loop (autopilot) and outer-loop (guidance). If the guidance controller can be designed as an integrated guidance and control (IGC), the various advantages exist. The integrated guidance and control formulation can compensate for the effect of autopilot lag. An integrated approach also helps avoid the iterative procedure involved in tuning the guidance and autopilot subsystems, if designed separately. Integrated design is also less susceptible to saturation and stability problems. This paper presents an approach to IGC design for the unpowered air vehicle with the only flaperon using a combination of adaptive output feedback inversion and backstepping techniques. Adaptive neural networks are trained online with available measurements to compensate for unmodeled nonlinearities in the design process.

Adaptive Neural Control for Pure-feedback Nonlinear Systems (순궤환 비선형 시스템의 적응 신경망 제어기)

  • Park Jang-Hyun;Kim Do-Hee;Kim Seong-Hwan;Moon Chae-Joo;Choi Jun-Ho
    • Proceedings of the KIPE Conference
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    • 2006.06a
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    • pp.523-525
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    • 2006
  • Adaptive neural state-feedback controllers for the fully nonaffine pure-feedback nonlinear system are presented in this paper. By reformulating the original pure-feedback system to a standard normal form with respect to newly defined state variables, the proposed controllers require no backstepping design procedures. Avoiding backstepping makes the controller structure and stability analysis considerably to be simplified. The proposed controllers employ only one neural network to approximate unknown ideal controllers, which highlights the simplicity of the proposed neural controller.

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Nonlinear Adaptive Control of EMS Systems with Mass Uncertainty (무게 변화를 고려한 자기부사열차의 비선형 적응제어기법)

  • Jo, Nam-Hoon;Joo, Sung-Jun;Seo, Jin-Heon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.10
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    • pp.563-571
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    • 2000
  • In this paper, a nonlinear adaptive control method for an EMS(Electro-Magnetic Suspension) system with mass uncertainty is proposed. Using the coordinate transformation and feedback linearizing control, EMS system has been transformed into the form of parametric strict-feedback system with unknown virtual control coefficients. With this transformed system, tuning functions approach, which is an advanced from of adaptive backstepping, has been applied in order to stabilize the system against mass uncertainty. Computer simulation is also carried out in order to compare the performance of the proposed controller with that of feedback linerizing controller.

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Direct Adaptive Neural Control of Perturbed Strict-feedback Nonlinear Systems (섭동 순궤환 비선형 계통의 신경망 직접 적응 제어기)

  • Park, Jang-Hyun;Kim, Seong-Hwan;Yoo, Young-Jae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.9
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    • pp.1821-1826
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    • 2009
  • An adaptive neural controller for perturbed strict-feedback nonlinear system is proposed. All the previous adaptive neural (or fuzzy) controllers are based on the backstepping scheme where the universal approximators are employed in every design steps. These schemes involve virtual controls and their time derivatives that make the stability analysis and implementation of the controller very complex. This fact is called 'explosion of complexty ' since the complexity grows exponentially as the system dynamic order increases. The proposed adaptive neural control scheme adopt the backstepping design procedure only for determining ideal control law and employ only one neural network to approximate the finally selected ideal controller, which makes the controller design procedure and stability analysis considerably simple compared to the previously proposed controllers. It is shown that all the time-varing signals containing tracking error are stable in the Lyapunov viewpoint.

Novel Fuzzy Disturbance Observer based on Backstepping Method For Nonlinear Systems (비선형 시스템에서의 백스테핑 기법을 이용한 새로운 퍼지 외란 관측기 설계)

  • Baek, Jae-Ho;Lee, Hee-Jin;Park, Mig-Non
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.2
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    • pp.16-24
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    • 2010
  • This paper is proposed a novel fuzzy disturbance observer based on backstepping method for nonlinear systems with unknown disturbance. Using fuzzy logic systems, a fuzzy disturbance observer with the disturbance observation input is introduced for unknown disturbance. To guarantee that the proposed disturbance observer estimates the unknown disturbance, the disturbance observation error dynamic system is employed. Under the framework of the backstepping design, the fuzzy disturbance observer is constructed recursively and an adaptive laws and the disturbance observation input are derived. Numerical examples are given to demonstrate the validity of our proposed disturbance observer for nonlinear systems.

The Adaptive Backstepping Controller of RBF Neural Network Which is Designed on the Basis of the Error (오차를 기반으로한 RBF 신경회로망 적응 백스테핑 제어기 설계)

  • Kim, Hyun Woo;Yoon, Yook Hyun;Jeong, Jin Han;Park, Jahng Hyon
    • Journal of the Korean Society for Precision Engineering
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    • v.34 no.2
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    • pp.125-131
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    • 2017
  • 2-Axis Pan and Tilt Motion Platform, a complex multivariate non-linear system, may incur any disturbance, thus requiring system controller with robustness against various disturbances. In this study, we designed an adaptive backstepping compensated controller by estimating the disturbance and error using the Radial Basis Function Neural Network (RBF NN). In this process, Uniformly Ultimately Bounded (UUB) was demonstrated via Lyapunov and stability was confirmed. By generating progressive disturbance to the irregular frequency and amplitude changes, it was verified for various environmental disturbances. In addition, by setting the RBF NN input vector to the minimum, the estimated disturbance compensation process was analyzed. Only two input vectors facilitated compensatory function of RBF NN via estimating the modeling and control error values as well as irregular disturbance; the application of the process resulted in improved backstepping controller performance that was confirmed through simulation.

Backstepping Controller Design for tracking the TORA Sysem (TORA 시스템을 추적하기 위한 백스테핑 제어기 설계)

  • Kwon, Oh-Bong;Kim, Dong-Hun;Hyun, Keun-Ho;Lee, Hyung-Chan;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.779-781
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    • 1999
  • In this paper we consider the TORA system and use backstepping to design active controllers for tracking; this problem is much more challenging than stabilization. We show that the control effort of the closed-loop system can be significantly improved by exploiting the backstepping design.

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An Adaptive Fuzzy Backstepping Approach to Robust Tracking Control of a Single-Link Flexible Joint Robot (적응형 퍼지 백스테핑 방식을 이용한 단일축 유연관절 로봇의 강인 제어)

  • 김은태;이희진
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.4
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    • pp.1-12
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    • 2004
  • This paper presents an adaptive fuzzy backstepping (AFB) controller for a single-link flexible joint robot in the Presence of Parametric uncertainties and external disturbances. Adaptive fuzzy logic systems are used as universal approximators to counteract the model uncertainties coming from robot dynamics and to compensate for the nonlinearities coming from adaptive backstepping method. The approach suggested herein does not require neither an additional supervisory nor a robustifying controller and guarantees that tracking error is uniformly ultimately bounded (UUB) within a sufficiently small residual set. Finally, a simulation result is given to demonstrate the robust tracking performance of proposed design method.

A Study on the Design of Adaptive Nonlinear Controller using Backstepping Technique (백스테핑 기법을 이용한 적응 비선형 제어기 설계에 관한 연구)

  • Kim, Min-Soo;Hyun, Keun-Ho;Lee, Hyung-Chan;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.588-591
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    • 1998
  • In this paper, we present a robust adaptive backstepping output feedback controller for nonlinear systems perturbed by unmodelled dynamics and disturbances. Especially, backstepping technique with modular approach is used to separately design controller and identifier. The design of identifier is based on the observer-based scheme which possesses a strict passivity property of observer error system. We will use Switching-${\sigma}$ modification at the update law and the modified control law to attenuate the effects of undodelled dynamics and disturbances for nonlinear systems.

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