• Title/Summary/Keyword: LPV

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Feasible and Invariant Sets For Input Constrained Linear Parameter Varying Systems

  • Lee, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1911-1916
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    • 2003
  • Parameter set of an LPV system is divided into a number of subsets so that robust feedback gains may be designed for each subset of parameters. A concept of quasi-invariant set is introduced, which allows finite steps of delay in reentrance to the set. A feasible and positively invariant set with respect to a gain-scheduled state feedback control can be easily obtained from the quasi-invariant set. A receding horizon control strategy can be derived based on this feasible and invariant set.

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H$\infty$ controller design for input-saturated linear systems

  • Choi, Ki-Hoon;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.75.2-75
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    • 2001
  • In this paper, we provide the technique of H$\infty$ controller design algorithm for input-saturated linear systems using a linear parameter varying(LPV) framework. The LPV controller with parameter dependent dynamic state feedback controller concept guarantees the asymtotic stability and H$\infty$ norm bound within prescribed level v using the saturation nonlinearity as scheduling parameters. Especially, the sufficient conditions for the existence of H$\infty$ controller are formulated in terms of linear matrix inequalities(LMIs) that can be solved very efficiently.

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Decentralized Controller Design for Nonlinear Systems using LPV technique

  • Lee, Sangmoon;Kim, Sungjin;Sangchul Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.68.5-68
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    • 2001
  • This paper investigates the problem of linear parameter-dependent output feedback controllers design for interconnected linear parameter-varying(LPV) plant. By using a parameter-independent common Lyapunov function, sucient conditions for solving the problems are established, which allow us to design linear parameter dependent decentralized controllers in terms of scaled H-infinite control problems for related linear systems without interconnections. The solvability conditions are expressed in terms of finite-dimensional linear matrix inequalities(LMI´s) evaluated at the extreme points of the admissible parameter set.

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State set estimation based MPC for LPV systems with input constraint

  • Jeong, Seung-Cheol;Kim, Sung-Hyun;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.530-535
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    • 2004
  • This paper considers a state set estimation (SSE) based model predictive control (MPC) for linear parameter- varying (LPV) systems with input constraint. We estimate, at each time instant, a feasible set of all states which are consistent with system model, measurements and a priori information, rather than the state itself. By combining a state-feedback MPC and an SSE, we design an SSE-based MPC algorithm that stabilizes the closed-loop system. The proposed algorithm is solved by semi-de�nite program involving linear matrix inequalities. A numerical example is included to illustrate the performance of the proposed algorithm.

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Disturbance-Observer-Based Robust H Switching Tracking Control for Near Space Interceptor

  • Guo, Chao;Liang, Xiao-Geng
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.153-162
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    • 2014
  • A novel robust $H_{\infty}$ switching tracking control design method with disturbance observer is proposed for the near space interceptor (NSI) with aerodynamic fins and reaction jets. Initially, the flight envelop of the NSI is divided into small subregions, and a slow-fast loop polytopic linear parameter varying (LPV) model is proposed, to approximate the nonlinear dynamic of the NSI, based on the Jacobian linearization and Tensor-Product (T-P) model transformation approach. A disturbance observer is then constructed, to estimate the modeled disturbance. Subsequently, based on the descriptor system method, a robust switching controller is developed, to ensure that the closed-loop descriptor system is stable with a desired $H_{\infty}$ disturbance attenuation level. Furthermore, the outcome of the proposed switching tracking control problem is formulated as a set of linear matrix inequalities (LMIs). Finally, simulation results demonstrate the effectiveness of the proposed design method.

Event-Triggered H2 Attitude Controller Design for 3 DOF Hover Systems (3 자유도 비행체 시스템의 이벤트 트리거 기반의 H2 자세 제어기 설계)

  • Jung, Hyein;Han, Seungyong;Lee, Sangmoon
    • IEMEK Journal of Embedded Systems and Applications
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    • v.15 no.3
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    • pp.139-148
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    • 2020
  • This paper is concerned with the H2 attitude controller design for 3 degree of freedom (DOF) Hover systems with an event-triggered mechanism. The 3 DOF Hover system is an embedded platform for unmanned aerial vehicle (UAV) provided by Quanser. The mathematical model of this system is obtained by a linearization around operating points and it is represented as a linear parameter-varying (LPV) model. To save communication network resources, the event-triggered mechanism (ETM) is considered and the performance of the system is guaranteed by the H2 controller. The stabilization condition is obtained by using Lyapunov-Krasovskii functionals (LKFs) and some useful lemmas. The effectiveness of the proposed method is shown by simulation and experimental results.

Stability conditions for Time-delayed LPV systems (시간 지연 선형 파라메타 변형 시스템의 안정화 조건에 관한 연구)

  • Jeong, Chang-Ki;Kang, Byung-Hoon;Ko, Jeong-Wan;Park, Poo-Gyeon
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.55-56
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    • 2007
  • In this paper, a delay-dependent stability criterion for time-delayed linear parameter varying (LPV) systems is considered. Stability criterion has been developed on the basis of including x(t-h) and x(t) and introducing free variables to eliminate model dynamics. Since the resultant criterion is formed parameterized linear matrix inequalities (PLMIs), we propose a relaxation technique that allows to find an LMI formulation. Examples demonstrate the efficiency of the criterion over the existing results.

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An Improved Hybrid Kalman Filter Design for Aircraft Engine based on a Velocity-Based LPV Framework

  • Liu, Xiaofeng
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.3
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    • pp.535-544
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    • 2017
  • In-flight aircraft engine performance estimation is one of the key techniques for advanced intelligent engine control and in-flight fault detection, isolation and accommodation. This paper detailed the current performance degradation estimation methods, and an improved hybrid Kalman filter via velocity-based LPV (VLPV) framework for these needs is proposed in this paper. Composed of a nonlinear on-board model (NOBM) and VLPV, the filter shows a hybrid architecture. The outputs of NOBM are used for the baseline of the VLPV Kalman filter, while the system performance degradation factors on-line estimated by the measured real system output deviations are fed back to the NOBM for its updating. In addition, the setting of the process and measurement noise covariance matrices' values are also discussed. By applying it to a commercial turbofan engine, simulation results show the efficiency.

A Gain-Scheduled Autopilot Design for a Bank-To-Turn Missile Using LMI Optimization and Linear Interpolation

  • Shin, Myoung-Ho;Chung, Myung-Jin;Lee, Chiul-Hwa
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.48.3-48
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    • 2001
  • A gain-scheduled autopilot design for a bank-to-turn (BTT) missile is developed by using the Linear Matrix Inequality (LMI) optimization technique and a state-space lineal interpolation method. The missile dynamics are brought to a quasilinear parameter varying (quasi-LPV) form. Robust linear control design method is used to obtain state feedback controllers for the LPV systems with exogenous disturbances at the frozen values of the scheduling parameters. Two gam-scheduled controllers for the pitch axis and the yaw/roll axis are constructed by linearly interpolating the robust state-feedback gains. The designed controller is applied to a nonlinear six-degree-of-freedom (6-DOF) simulations.

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Robust Fault Detection Based on Aero Engine LPV Model

  • Linfeng, Gou;Xin, Wang;Liang, Chen
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.35-38
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    • 2008
  • This paper develops an aero engine LPV mathematical model to exactly describe aero engine dynamic process characteristics, eliminate the effect of modeling error. Design FDF with eigenstructure assignment. The simulation results of turbofan engine control system sensor fault show that this method has good performance in focusing discrimination in fault signal with modeling eror, enhancing the robustness to unknown input, detecting accuracy is high and satisfiying real-time requirement.

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