• Title/Summary/Keyword: input-output linearization

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Output Feedback Stabilization of Non-Minimum phase Nonlinear Systems (비최소위상 비선형 시스템의 출력궤환 안정화)

  • 조남훈
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.12
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    • pp.977-983
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    • 2003
  • An output feedback stabilizing controller far non-minimum phase nonlinear systems is presented. We first perform the standard input-output linearization of the system and then transform the zero dynamics into a special normal form in which the antistable part is not affected by the stable part and the antistable part is given in approximately linear form. Under the assumption that the nonlinear system satisfies the observability rank condition, we can design an observer f3r the extended system that is made of the augmentation of a chain of integrators. The proposed output feedback stabilizing controller can then be designed by combining the observer and the state feedback controller.

Design of Sliding Hyperplanes in Nonlinear Variable Structure Systems with Uncertainties (불확실성을 갖는 비선형 가변구조시스템의 슬라이딩 초평면 설계)

  • 박동원;최승복;김재문
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1985-1996
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    • 1994
  • A new design method of sliding hyperplanes is proposed in the synthesis of a variable structure controller for robust tracking of general nonlinear multi-input-output(MIMO) uncertain systems of relative degree higher than two. Input/ output(I/O) linearzation is firstly undertaken by employing the concept of relative degree and minimum phase followed by the construction of sliding mode controllers. Sliding hyperplanes are then derived from the inherent properties of companion matrix and ideal sliding mode characterized in I/O linearized system. Subsequently, the gradient magnitudes of the sling hyperplanes are determined in an optimal manner by considering a quadratic performance index to be evaluated at two phases; a reaching phase and a sliding phase. The proposed design methodology is relatively straightforward and systematic compared with conventional strategies such as geometric approach or pole assignment technique. A nonlinear governor and exciter control problem for a power system is adopted herein in order to demonstrate the design efficiency and also favorable and robust control performances.

Multivariable Nonlinear Model Predictive Control of a Continuous Styrene Polymerization Reactor

  • Na, Sang-Seop;Rhee, Hyun-Ku
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.45-48
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    • 1999
  • Model predictive control algorithm requires a relevant model of the system to be controlled. Unfortunately, the first principle model describing a polymerization reaction system has a large number of parameters to be estimated. Thus there is a need for the identification and control of a polymerization reactor system by using available input-output data. In this work, the polynomial auto-regressive moving average (ARMA) models are employed as the input-output model and combined into the nonlinear model predictive control algorithm based on the successive linearization method. Simulations are conducted to identify the continuous styrene polymerization reactor system. The input variables are the jacket inlet temperature and the feed flow rate whereas the output variables are the monomer conversion and the weight-average molecular weight. The polynomial ARMA models obtained by the system identification are used to control the monomer conversion and the weight-average molecular weight in a continuous styrene polymerization reactor It is demonstrated that the nonlinear model predictive controller based on the polynomial ARMA model tracks the step changes in the setpoint satisfactorily. In conclusion, the polynomial ARMA model is proven effective in controlling the continuous styrene polymerization reactor.

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A pole assignment control design for single-input double-output nonlinear mechanical systems

  • Kobayashi, Masahito;Tamura, Katsutoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.144-149
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    • 1993
  • This paper discusses a design of a nonlinear control for a class of single-input double-output nonlinear mechanical systems. When conventional linearization methods are applied to the mechanical systems, some problems of oscillation and unstable phenomena arise. The proposed nonlinear control system resolves these problems. In this design the eigenvalues of the closed-loop nonlinear system are assigned to desired locations and local asymptotic stability of the closed-loop system. is guaranteed. The design method is applied to an inverted pendulum system with a moving weight mechanism. Experimental results show that the proposed nonlinear controller is more effective for stability than the usual linear controller.

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Stability Analysis of Time Delay Controller for General Plants (일반적인 플랜트에 대한 시간지연을 이용한 제어기법의 안정성 해석)

  • Kwon, Oh-Seok;Chang, Pyung-Hun;Jung, Je-Hyung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.1035-1046
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    • 2002
  • Time Delay Control(TDC) is a robust nonlinear control scheme using Time Delay Estimation(TDE) and also has a simple structure. To apply TDC to a real system, we must design Time Delay Controller to guarantee stability. The earlier research stated sufficient stability condition of TDC for general plants. In that research, it was assumed that time delay is infinitely small. But, it is impossible to implement infinitely small time delay in a real system. So, in this research we propose a new sufficient stability condition of TDC for general plants with finite time delay. And the simulation results indicate that the previous sufficient stability condition does not work even for small time delay, while our proposed condition works well.

A Comparison Study of MIMO Water Wall Model with Linear, MFNN and ESN Models

  • Moon, Un-Chul;Lim, Jaewoo;Lee, Kwang Y.
    • Journal of Electrical Engineering and Technology
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    • v.11 no.2
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    • pp.265-273
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    • 2016
  • A water wall system is one of the most important components of a boiler in a thermal power plant, and it is a nonlinear Multi-Input and Multi-Output (MIMO) system, with 6 inputs and 3 outputs. Three models are developed and comp for the controller design, including a linear model, a multilayer feed-forward neural network (MFNN) model and an Echo State Network (ESN) model. First, the linear model is developed by linearizing a given nonlinear model and is analyzed as a function of the operating point. Second, the MFNN and the ESN are developed by using training data from the nonlinear model. The three models are validated using Matlab with nonlinear input-output data that was not used during training.

Lyapunov Based Adaptive-Robust Control of the Non-Minimum phase DC-DC Converters Using Input-Output Linearization

  • Salimi, Mahdi;Zakipour, Adel
    • Journal of Power Electronics
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    • v.15 no.6
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    • pp.1577-1583
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    • 2015
  • In this research, a combined adaptive-robust current controller is developed for non-minimum-phase DC-DC converters in a wide range of operations. In the proposed nonlinear controller, load resistance, input voltage and zero interval of the inductor current are estimated using developed adaptation rules and knowing the operating mode of the converter for the closed-loop control is not required; hence, a single controller can be employed for a wide load and line changes in discontinuous and continuous conduction operations. Using the TMS320F2810 digital signal processor, the experimental response of the proposed controller is presented in different operating points of the buck/boost converter. During transition between different modes of the converter, the developed controller has a better dynamic response compared with previously reported adaptive nonlinear approach. Moreover, output voltage steady-state error is zero in different conditions.

Design of A Robust Adaptive Controller for A Class of Uncertain Non-linear Systesms with Time-delay Input

  • Nguyen, Thi-Hong-Thanh;Cu, Xuan-Thinh;Nguyen, Thi-Minh-Huong;Ha, Thi-Hoan;Nguyen, Dac-Hai;Tran, Van-Truong
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1955-1959
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    • 2005
  • This paper presents a systematic analysis and a simple design of a robust adaptive control law for a class of non linear systems with modeling errors and a time-delay input. The theory for designing a robust adaptive control law based on input- output feedback linearization of non linear systems with uncertainties and a time-delay in the manipulated input by the approach of parameterized state feedback control is presented. The main advantage of this method is that the parameterized state feedback control law can effectively suppress the effect of the most parts of nonlinearities, including system uncertainties and time-delay input in the pp-coupling perturbation form and the relative order of non linear systems is not limited.

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Linearization of nonlinear system by use of volterra kernel

  • Nishiyama, Eiji;Kashiwagi, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.149-152
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    • 1996
  • In this paper, the authors propose a new method for linearizing a nonlinear dynamical system by use of Volterra kernel of the nonlinear system. The authors have recently obtained a new method for measuring Volterra kernels of nonlinear control systems by use of a pseudo-random M-sequence and correlation technique. In this method, an M-sequence is applied to the nonlinear system and the crosscorrelation function between the input and the output gives us every crosssection of Volterra kernels up to 3rd order. Once we can get Volterra kernels of nonlinear system, we can construct a linearization method of the nonlinear system. Simulation results show good agreement between the observed results and the theoretical considerations.

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Design of nonlinear controller for voltage and frequency of power system using excitation and governor system (여자기와 거버너를 이용한 전력계통 단자전압과 주파수의 비선형제어)

  • Im, Sun;Yoon, Tae-Woong
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.669-671
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    • 2004
  • This paper presents a MIMO nonlinear controller for the power system consisting of a turbine and a synchronous generator connected to an infinite bus. The controller proposed is based on feedback input-output linearization; its main goal is to regulate the terminal voltage and frequency, and is to improve the transient stability under large disturbances and unexpected faults. It is guaranteed that the voltage converges to its reference value exponentially, and that the frequency and the mechanical/electrical power are bounded. The design procedure is tested on a single machine infinite bus power system through simulations, and is seen to be effective.

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