Robust state estimation based on sliding mode observer for aeroelastic system

Jeong, In Joo; Na, Sungsoo; Kim, Myung‐Hyun; Shim, Jae-Hyun; Oh, Byung Young

doi:10.1007/bf02916176

Cited by 7 publications

(5 citation statements)

References 9 publications

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“…By using preceding coordinate transformation, it can be clearly observed from (9) that the pair (A, C) is observable, it follows that the pair (A 11 , A 21 ) is observable as well. Let A 11 := A 11 − LA 21 , it is obviously that can be achieved by appropriate choices of L. Nevertheless, the reduced order dynamics is going to be perturbed by the perturbation term f(x, t) through the observer gain matrix L. The asymptotic estimation level can be reached by applying L = 0 as long as λ(A 11 ) < 0 is naturally satisfied.…”

Section: Observer Design For Nonlinear Disturbed Systemmentioning

confidence: 99%

“…Nevertheless, this achievement depends on the property of A 11 , which may not always be the case. As a consequence, the following task is dedicated to design an appropriate control structure for (9) so that exponential estimation level could be obtained. If e 1 → 0 could be attained, it follows that f(x, t) → D T 22 D 22 −1 D T 22 v eq .…”

Section: Observer Design For Nonlinear Disturbed Systemmentioning

confidence: 99%

“…To get better control performance, recently a SMO [6] and an extended type SMO [7] are employed to estimate unknown external disturbances as well as modeling uncertainties in finite time. Building on the work [8], a SMO is applied to control aero-elastic response of flapped wing for the suppression of external excitation [9]. For nominal systems, high gain observer is also a good candidate for state estimation.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Integral Type Observer Design for State Estimation and Unknown Input Reconstruction

Peng

2017

Applied Sciences

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This paper is concerned with model-based robust observer designs for state observation and its application for unknown input reconstruction. Firstly, a sliding mode observer (SMO), which provides exponential convergence of estimation error, is designed for a class of multivariable perturbed systems. Observer gain matrices subject to specific structures are going to be imposed such that the unknown perturbation will not affect estimate precision during the sliding modes; Secondly, to improve discontinuous control induced in the SMO as well as pursue asymptotic estimate precision, a proportional-integral type observer (PIO) is further developed. Both the design procedures of the SMO and PIO algorithms are characterized as feasibility issues of linear matrix inequality (LMI) and thus the computations of the control parameters can be efficiently solved. Compared with the SMO, it will be demonstrated that the PIO is capable of achieving better estimation precision as long as the unknown inputs are continuous. Finally, a servo-drive flexible robot arm is selected as an example to demonstrate the applications of the robust observer designs.

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Section: Observer Design For Nonlinear Disturbed Systemmentioning

confidence: 99%

Section: Observer Design For Nonlinear Disturbed Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear Integral Type Observer Design for State Estimation and Unknown Input Reconstruction

Peng

2017

Applied Sciences

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“…In other words, all of the system states are assumed to be measurable. To the authors' knowledge, there are few investigations on the observer‐controller for aeroelastic system . A LQG control strategy using a sliding mode observer (SMO) was proposed and the performance was demonstrated by simulation in .…”

Section: Introductionmentioning

confidence: 99%

“…To the authors' knowledge, there are few investigations on the observer‐controller for aeroelastic system . A LQG control strategy using a sliding mode observer (SMO) was proposed and the performance was demonstrated by simulation in . Compared with the traditional Luenberger observer, SMO can force the output estimation error to converge to zero in finite time in the presence of unknown signals or uncertainty , and it has also been adopted for a class of continuous‐time Markovian jump systems with quantization and actuator faults .…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Observer Controller Design for a Two Dimensional Aeroelastic System with Gust Load

Yuan¹,

Qiu²,

Wang³

2018

Asian Journal of Control

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The aim of this paper is to develop state estimation and sliding mode control schemes for the vibration suppression of an underactuated wing aeroelastic system in the presence of a gust load disturbance. Ignoring structural elastic deformation and using the concentrated elastic system (spring) to simulate the overall elastic deformation, this aeroelastic model consists of a straight wing and spring system, describing flap and pitch freedoms. The corresponding dynamic motion equation is established using the Lagrange method, and the gust is modeled as a typical "1-cosine" gust. The aerodynamic lift and moment on the wing are computed by strip theory. The open loop system exhibits the limit cycle oscillations (LCOs) at a certain freestream velocity. The objective is to design a control system for suppressing the LCOs. For the purpose of control, a single trailing-edge control surface is used. It is assumed that only the pitch angle is measured and the remaining state variables needed for full state feedback are estimated by the designed observer. Then an integral sliding surface is put forward on the estimation space; a new continuous reaching law is proposed to reduce the chattering phenomena. The finite-time reachability of the predesigned sliding surface is proved and guaranteed by the designed sliding mode control law. The sufficient condition for the asymptotic stability of the closed-loop system composed of the sliding mode dynamics and the error dynamical system is derived in terms of linear matrix inequality (LMI). The effectiveness of the proposed strategy is finally demonstrated by simulation results.

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Output feedback tracking control of uncertain robot manipulators via higher-order sliding-mode observer and fuzzy compensator

et al. 2013

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Robust state estimation based on sliding mode observer for aeroelastic system

Cited by 7 publications

References 9 publications

Nonlinear Integral Type Observer Design for State Estimation and Unknown Input Reconstruction

Nonlinear Integral Type Observer Design for State Estimation and Unknown Input Reconstruction

Sliding Mode Observer Controller Design for a Two Dimensional Aeroelastic System with Gust Load

Output feedback tracking control of uncertain robot manipulators via higher-order sliding-mode observer and fuzzy compensator

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