Improved Equivalent-Input-Disturbance Approach Based on $H_\infty$ Control

Yu, Pan; Liu, Kang‐Zhi; Wu, Min; She, Jinhua

doi:10.1109/tie.2019.2946555

Cited by 20 publications

(9 citation statements)

References 30 publications

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“…The equivalent-input-disturbance (EID) approach is based on the concept of EID [21,22], which is effective for both matched and mismatched disturbances [23,24]. Unlike the DOB, a Luenberger observer plays the role of a nominal plant in the EID approach.…”

Section: Figure 1 Pantograph-catenary Systemmentioning

confidence: 99%

“…According to the internal model principle [29], asymptotically reference tracking can be achieved when an internal model of the reference is incorporated into the closed-loop control system. That is to say, after letting the disturbance d e (t ) be zero, the reference tracking is guaranteed as long as the mode of A R is incorporated into the internal models of both systems, which can also be seen from G 1 yr (s) in ( 22) and G 2 yr (s) in (23). From (23), the control block of EID suppression has no effect on G 2 yr (s), which shows the reference tracking can be independent of the disturbance rejection for the developed 2-DOF-based control.…”

Section: Analyses Of 2-dof-based Control By Comparison With 1-dof-bas...mentioning

confidence: 99%

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Robust control of pantograph‐catenary system: Comparison of 1‐DOF‐based and 2‐DOF‐based control systems

Liu

et al. 2021

IET Control Theory & Appl

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Compared to control bandwidth, low-frequency uncertainties or disturbances like step signals can be well rejected by many methods having two-degree-of-freedom (2-DOF). Due to robustness constraint, technically more challenging is the rejection of medium frequencies, especially for bandwidth-limited systems. Here, the equivalent-input-disturbance (EID) approach is extended to deal with the main medium-frequency oscillation of a pantograph-catenary system. First, a general EID estimator is developed with a lowfrequency estimator as a special case. Then, a fair comparison is conducted to clarify the essential differences between the conventional 1-DOF-based and the developed 2-DOFbased control systems. Furthermore, a robust stability condition is derived for the 2-DOFbased closed-loop control system. A design algorithm together with design guidelines is provided, where the frequency characteristics of the uncertainties are utilized in the parameter design. Finally, simulations are carried out to validate the developed 2-DOF-based method for the pantograph-catenary system in realistic environment.

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Section: Figure 1 Pantograph-catenary Systemmentioning

confidence: 99%

Section: Analyses Of 2-dof-based Control By Comparison With 1-dof-bas...mentioning

confidence: 99%

Robust control of pantograph‐catenary system: Comparison of 1‐DOF‐based and 2‐DOF‐based control systems

Liu

et al. 2021

IET Control Theory & Appl

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“…With the de-velopment of control science, the anti-disturbance issue has undoubtedly become a research hot issue. Many effective anti-disturbance methods have been widely used, such us active disturbance rejection control (ADRC) [16,17], robust control [18], and disturbance observer based control (DOBC) [19,20], etc. Among them, the DOBC method aims at completely canceling disturbance to ensure the stability of the controlled system when disturbance occurs.…”

Section: Introductionmentioning

confidence: 99%

Integral Sliding Mode Anti-Disturbance Control for Markovian Jump Systems with Mismatched Disturbances

Shen

Zhang

2021

Electronics

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This paper addresses an integral sliding mode-based anti-disturbance control algorithm for a type of Markovian jump systems (MJSs), which are influenced by different types of mismatched disturbances. On one hand, as for those disturbances that can be modeled, the disturbance observer (DO) method is introduced to realize the dynamical estimation of disturbances. Based on this, both the integral sliding surface (ISS) and the composite anti-disturbance controller are proposed in succession for rejecting unknown disturbances and guaranteeing the stability of the controlled MJS. Meanwhile, the states of the controlled system are ensured to reach ISS within a finite time. In addition, the L1 performance index is given to attenuate the effects of bounded disturbances. The controller and observer gains can be computed by using convex optimization techniques. The satisfactory stochastic stability and dynamical tracking performance are both also proved. Finally, the simulation results effectively verify all of the required performances.

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“…Motivated by this, She et.al [26] proposed an equivalent input disturbance (EID) approach and conducted theoretical analysis. EID-based compensation method can perfectly suppress any kind of disturbance [27], and only the information of control input and the system output is required to produce the EID estimation in this approach. It is worth mentioning that the strong robustness against disturbances can be guaranteed by incorporating the observer estimation-based feedforward compensation into the conventional SMC feedback, straightforwardly.…”

Section: Introductionmentioning

confidence: 99%

A Novel Equivalent Input Disturbance-Based Adaptive Sliding Mode Control for Singularly Perturbed Systems

et al. 2021

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This paper develops a novel equivalent input disturbance (EID)-based adaptive sliding mode control (SMC) method for singularly perturbed systems (SPSs). Firstly, the block diagonalization approach is introduced to decompose the full-order SPSs exactly, and slow and fast subsystems are obtained by solving the upper and lower triangular matrices individually. Secondly, an EID is constructed to estimate the unknown disturbances with the observer gain and error system convergence analyzed. Then, depending on the decoupled reduced-order system models, a Lyapunov equation-based solution is adopted to construct a composite sliding surface. Finally, combined with the EID estimation, an adaptive SMC law is proposed to compensate the adverse effect of disturbances and the reachability condition is proven. The presented control strategy is free of any priori disturbances information while the satisfactory system performance can be guaranteed. Simulation results on two examples illustrate its superiority over the existing methods.INDEX TERMS Singularly perturbed systems, equivalent input disturbance, adaptive sliding mode control, block diagonalization approach.ZHIYUAN CHE received the M.S. degree from the School of Information and Control Engineering,

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Improved Equivalent-Input-Disturbance Approach Based on $H_\infty$ Control

Cited by 20 publications

References 30 publications

Robust control of pantograph‐catenary system: Comparison of 1‐DOF‐based and 2‐DOF‐based control systems

Robust control of pantograph‐catenary system: Comparison of 1‐DOF‐based and 2‐DOF‐based control systems

Integral Sliding Mode Anti-Disturbance Control for Markovian Jump Systems with Mismatched Disturbances

A Novel Equivalent Input Disturbance-Based Adaptive Sliding Mode Control for Singularly Perturbed Systems

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