Robust Linear Output Regulation Using Extended State Observer

Hosseini-Pishrobat, Mehran; Keighobadi, Jafar; Oveisi, Atta; Nestorović, Tamara

doi:10.1155/2018/4095473

Cited by 9 publications

(4 citation statements)

References 31 publications

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“…Actually, the output-feedback SMC for PMSM servo system subject to unknown load torque disturbances is a challenging problem, since it is difficult to estimate both the unmeasured states and the unmatched disturbance at the same time. Reference [35] gives a new idea for outputfeedback SMC design, which combines SMC with the basic idea of output regulation theory [36,37]. Inspired by [35], this paper aims to solve the output-feedback SMC problem for PMSM servo system subject to unmatched disturbances.…”

Section: Introductionmentioning

confidence: 99%

Output-Feedback Sliding Mode Control for Permanent Magnet Synchronous Motor Servo System Subject to Unmatched Disturbances

Jiang

Zhang

2021

Mathematical Problems in Engineering

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This paper aims to investigate the speed regulation problem for permanent magnet synchronous motor (PMSM) servo systems subject to unknown load torque disturbances. The proposed method utilizes sliding mode control (SMC), invariant manifold theory, and disturbance observation technique. In the PMSM servo systems, the unknown load torques will affect the control performance to a large extent, which is unmatched. In addition, compared with full-state measurement, the output-feedback framework is easy to implement and reduces the sensor costs. However, it is difficult to handle unmatched disturbance and unmeasured states simultaneously. To this end, this paper specifically combines the sliding mode control theory with the invariant manifold theory and puts forward an output-feedback disturbance rejection control method. The key idea is that the unmatched disturbance in the PMSM servo systems is transformed into matched one by taking advantage of the invariant manifold, which is different from existing results. The transformation maintains most of dynamics of the PMSM system for control design, which improves the accuracy. In addition, an extended state observer is designed to estimate the current and lumped disturbance simultaneously; then, the output-feedback SMC method is proposed by introducing the estimations. Besides, the switching gain in the proposed sliding mode controller can change with estimation errors adaptively, and the chattering reduces. Simulation results on a PMSM system validate the effectiveness of the proposed control strategy.

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Section: Introductionmentioning

confidence: 99%

Output-Feedback Sliding Mode Control for Permanent Magnet Synchronous Motor Servo System Subject to Unmatched Disturbances

Jiang

Zhang

2021

Mathematical Problems in Engineering

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“…Further new immersion and invariance observer for inertial MEMS attitude-heading reference systems, an enhanced fuzzy H∞ estimation algorithm [20,21] and nonlinear disturbance rejection-based controller of a triaxial MEMS vibratory gyroscope [22,23] are presented. The nonlinear control [24][25][26][27][28][29][30], linear and nonlinear observer and filters [31][32][33][34][35][36][37][38][39][40] and predictive techniques [41][42][43] properly explained space mechanism related control systems.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Investigation of Cam-Follower Profile Under Space - 100 to + 120°C Temperature Condition

Keighobadi¹,

Fouladi²,

Hashempour³

et al. 2021

IJMEA

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Cam-follower mechanism efficiency in production of desired motions has been proved along the history of space missions. In this paper, according to pre-specified spatial condition of wide temperature variations between -100 and +120 Celsius degrees, some new and innovative cam-follower profile designs are presented. In the first follower mechanism, through rotating a connected screw to a servomotor, changes in length of the moving follower on cam is compensated with respect to the temperature changes of certain spatial conditions. In the second design, an inclined surface cam is equipped with an active controllable follower. As the third suggestion, the design with an inclined cam surface is optimized by investigating the length of the shaft connected to the cam. In the fourth model, a new design is proposed by changing the shaft's material from aluminum to titanium and a modified design is presented. The proposed designs are investigated and compared using the analytical solutions and optimization tools using MATLAB and ANSYS. The purpose of this study was to identify the effect of profile type on the dynamic behavior of the mechanism under the effects of a temperature difference of -100 to +120°C in space condition. It is concluded that changing the length of the follower, using an inclined cam surface and optimizing the length of the shaft connected to the follower are all effective solutions to the cam's volume variation problem. The results also indicate that for solving the problem of the volume variation of the cam-follower mechanism a combination of the proposed designs is optimal. Moreover, among the presented designs, the mechanism with an inclined cam surface with an aluminum shaft is shown to have the highest precision and performance with respect to the other three.

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“…In [4], the authors have shown that researchers have developed some methods for the solution of large-scale Sylvester equations [5][6][7]. On the other hand, several research studies for solving the Sylvester algebraic equation have gained attention in engineering problem [8][9][10]. In the image-processing problem, the presentation developed in [8] has shown that the image fusion method applied to a large-scale image facilitates reduction of computational complexity based on the explicit solution of large-scale Sylvester equations.…”

Section: Introductionmentioning

confidence: 99%

“…In the image-processing problem, the presentation developed in [8] has shown that the image fusion method applied to a large-scale image facilitates reduction of computational complexity based on the explicit solution of large-scale Sylvester equations. Furthermore, many problems of control theory such as regulator problem [9] and particle swarm theory [10] lead to a Sylvester equation.…”

Section: Introductionmentioning

confidence: 99%

Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems

Yoo

Gajić

Lee

2020

Mathematical Problems in Engineering

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In this paper, we present an algorithm for eigenvalue assignment of linear singularly perturbed systems in terms of reduced-order slow and fast subproblem matrices. No similar algorithm exists in the literature. First, we present an algorithm for the recursive solution of the singularly perturbed algebraic Sylvester equation used for eigenvalue assignment. Due to the presence of a small singular perturbation parameter that indicates separation of the system variables into slow and fast, the corresponding algebraic Sylvester equation is numerically ill-conditioned. The proposed method for the recursive reduced-order solution of the algebraic Sylvester equations removes ill-conditioning and iteratively obtains the solution in terms of four reduced-order numerically well-conditioned algebraic Sylvester equations corresponding to slow and fast variables. The convergence rate of the proposed algorithm is Oε, where ε is a small positive singular perturbation parameter.

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Robust Linear Output Regulation Using Extended State Observer

Cited by 9 publications

References 31 publications

Output-Feedback Sliding Mode Control for Permanent Magnet Synchronous Motor Servo System Subject to Unmatched Disturbances

Output-Feedback Sliding Mode Control for Permanent Magnet Synchronous Motor Servo System Subject to Unmatched Disturbances

Dynamical Investigation of Cam-Follower Profile Under Space - 100 to + 120°C Temperature Condition

Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems

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