• Title/Summary/Keyword: Parametric uncertainty

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Delay-Dependent Guaranteed Cost Control for Uncertain Neutral Systems with Distributed Delays

  • Li, Yongmin;Xu, Shengyuan;Zhang, Baoyong;Chu, Yuming
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.15-23
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    • 2008
  • This paper considers the problem of delay-dependent guaranteed cost controller design for uncertain neutral systems with distributed delays. The system under consideration is subject to norm-bounded time-varying parametric uncertainty appearing in all the matrices of the state-space model. By constructing appropriate Lyapunov functionals and using matrix inequality techniques, a state feedback controller is designed such that the resulting closed-loop system is not only robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. Furthermore, a convex optimization problem is introduced to minimize a specified cost bound. By matrix transformation techniques, the corresponding optimal guaranteed controller can be obtained by solving a linear matrix inequality. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed approach.

Implementation of Adaptive Impedance Controller using Fuzzy Inference (퍼지추론을 이용한 적응 임피던스 제어기의 구현)

  • Lim, Yong-Taek;Kim, Seung-Woo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.9
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    • pp.423-429
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    • 2001
  • This paper proposes adaptive impedance control algorithm using fuzzy inference when robot contacts with its environments. The characteristics of the adaptive impedance controller is to adapt with parametric uncertainty and nonlinear conditions. The control algorithm is to join impedance controller with fuzzy inference engine. The proposed control method overcomes the problem of impedance controller using gain-tuning algorithm of fuzzy inference engine. We implemented an experimental set-up consisting of environment-generated one-link robot system and DSP system for controller development. We apply the adaptive fuzzy impedance controller to one-link root system, and it shows the good performance on regulating the interactive force in case of contacting with arbitrary environment.

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New Approach for Stability of Perturbed DC-DC Converters

  • Hote, Yogesh V.;Choudhury, D. Roy;Gupta, J.R.P.
    • Journal of Power Electronics
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    • v.9 no.1
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    • pp.61-67
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    • 2009
  • In this paper, a simple technique is presented for robust stability testing of perturbed DC-DC converters having multi-linear uncertainty structure. This technique provides a necessary and sufficient condition for testing robust stability. It is based on the corollary of Routh criterion and gridding of parameters. The previous work based on parametric control theory using Kharitonov's theorem and Hermite Biehler theorem gives conservative results and only the sufficient condition of stability, whereas the proposed method provides the necessary and sufficient condition for testing robust stability and it is computationally efficient. The superiority of the method is compared with the Edge theorem.

Design of the High Gain Nonlinear Feedback Linearizing Control. (고이득 제어를 이용한 비선형 궤환 선형화 제어기개발.)

  • Lee, Ju-Suk;Joo, Sung-Jun;Seo, Jin-Heon
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.930-932
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    • 1996
  • Some results and a nonlinear controller are proposed for feedback linearizable SISO systems with unknown constant parameters. It is shown that the systems which satisfy the proposed conditions can be transformed into a controllable linear subsystem with unknown parameter and it can be stabilized using the high gain nonlinear feedback linearizing controller. As an example for the proposed theorem, we introduce the single link robot with joint flexibility which is an well known example.

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Design of the Feedback linearizing Nonlinear Control with Uncertain Parameter. (미지의 파라메터를 가진 비선형 시스템의 궤환 선형화 제어기개발.)

  • Joo, Sung-Jun;Seo, Jin-Heon
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1134-1136
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    • 1996
  • A necessary and suficient conditions is proposed for feedback linearizable SISO systems with unknown constant parameters. It is shown that the systems which satisfy the proposed conditions can be transformed into a controllable linear system with unknown parameter and it can be stabilized using the nonlinear feedback linearizing controller. We also present the analysis and implementation of a nonlinear feedback linearizing control for an Electro-Magnetic Suspension (EMS) system. We show that an EMS system is nonlinear feedback linearizable and satisfies the proposed conditions, and hence that the proposed nonlinear feedback controller for an EMS system is robust against mass parameter perturbation and force disturbance.

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Adaptive Control with Antiwindup Scheme for Relaxed Static Stability(RSS) Missiles with Saturating Actuator

  • Kim, Young-Hwan;Chwa, Dong-Kyung;Im, Ki-Hong;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.54.4-54
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    • 2001
  • This paper proposes an adaptive control scheme for an autopilot design of Relaxed-Static-Stability(RSS) Missiles with saturating actuator. The feedback linearization controller eliminates nonlinear terms in RSS missile dynamics and makes the entire system linear. But modeling errors, disturbances and the nonlinear mismatch due to input constraints exert a bad influence on the performance of the feedback linearization controller Thus, first, we derive a parametric affine uncertainty model with modeling errors and disturbances. Then an adaptive control law with anti-windup scheme is developed, where the bounds of uncertainties are estimated with adaptive laws. The proposed adaptive controller can remove the bad effects of uncertainties, of disturbances, and of saturating actuator ...

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Impedance Control of Backdrivable Hydraulic Actuation Systems with Explicit Disturbance Estimation (직접 외란 추정을 통한 역구동성 유압 구동 시스템의 임피던스 제어)

  • Yoo, Sunkyum;Chung, Wan Kyun
    • The Journal of Korea Robotics Society
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    • v.14 no.4
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    • pp.348-356
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    • 2019
  • The backdrivable servovalve is a desirable component for force and interaction control of hydraulic actuation systems because it provides direct force generation mechanical impedance reduction by its own inherent backdrivability. However, high parametric uncertainty and friction effects inside the hydraulic actuation system significantly degrade its advantage. To solve this problem, this letter presents a disturbance-adaptive robust internal-loop compensator (DA-RIC) to generate ideal interactive control performance from the backdrivable-servovalve-based system. The proposed control combines a robust internal-loop compensator structure (RIC) with an explicit disturbance estimator designed for asymptotic disturbance tracking, such that the controlled system provide stable and ideal dynamic behavior for impedance control, while completely compensating the disturbance effects. With the aid of a backdrivable servovalve, we show that the proposed control structure can be implemented based on a simplified nominal model, and the controller enables implementation without accurate knowledge of the target system parameters and disturbances. The performance and properties of the proposed controller are verified by simulation and experiments.

A parametric study on seismic fragility analysis of RC buildings

  • Nagashree, B.K.;Ravi, Kumar C.M.;Venkat, Reddy D.
    • Earthquakes and Structures
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    • v.10 no.3
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    • pp.629-643
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    • 2016
  • Among all the natural disasters, earthquakes are the most destructive calamities since they cause a plenty of injuries and economic losses leaving behind a series of signs of panic. The present study highlights the moment-curvature relationships for the structural elements such as beam and column elements and Non-Linear Static Pushover Analysis of RC frame structures since it is a very simplified procedure of non-linear static analysis. The highly popular model namely Mander's model and Kent and Park model are considered and then, seismic risk evaluation of RC building has been conducted using SAP 2000 version 17 treating uncertainty in strength as a parameter. From the obtained capacity and demand curves, the performance level of the structure has been defined. The seismic fragility curves were developed for the variations in the material strength and damage state threshold are calculated. Also the comparison of experimental and analytical results has been conducted.

Multi-time probability density functions of the dynamic non-Gaussian response of structures

  • Falsone, Giovanni;Laudani, Rossella
    • Structural Engineering and Mechanics
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    • v.76 no.5
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    • pp.631-641
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    • 2020
  • In the present work, an approach for the multiple time probabilistic characterization of the response of linear structural systems subjected to random non-Gaussian processes is presented. Its fundamental property is working directly on the multiple time probability density functions of the actions and of the response. This avoids of passing through the evaluation of the response statistical moments at multiple time or correlations, reducing the computational effort in a consistent measure. This approach is the extension to the multiple time case of a previously published dynamic Probability Transformation Method (PTM) working on a single evolution of the response statistics. The application to some simple examples has revealed the efficiency of the method, both in terms of computational effort and in terms of accuracy.

Robust Backstepping Control for Nonvanishing Parametrization$^1$

  • Shim, Hyung-Bo;Son, Young-Ik;Lee, Sang-Hyuk;Seo, Jin-Heon
    • Journal of KIEE
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    • v.10 no.1
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    • pp.29-34
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    • 2000
  • In this paper, a design method of a controller is presented for a class of nonlinear systems which have time-varying parametric uncertainly. Some features of this controller are that it can tackle 1) nonlinear parametrization(i.e. uncertain parameters enter the system in the nonlinear form) and 2) nonvanishing peturbation (i.e. uncertainty need not vanish at the origin). The class of systems considered in this paper has the triangular structure for which the well-known backstepping design can be applied. The uncertain parameter is assumed to be contained in the bounded set whose size can be arbitrarily large. Also, the uncertain system are globally uniformly bounded and converge to a compact set whose size is designable. In particular, the first state of the system can be made arbitrarily small, which can be seen by the presented simulation result.

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