Algebraic estimation and active disturbance rejection in the control of flat systems

Cortés‐Romero, John; Jimenez-Triana, Alexander; Coral-Enríquez, Horacio; Sira‐Ramírez, Hebertt

doi:10.1016/j.conengprac.2017.02.009

Cited by 21 publications

(15 citation statements)

References 32 publications

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“…where ψ 0 (x, t) = ψ(x, t) − ψ(x, t) refers to the estimation; ψ(x, t) refers to the uncertainties; ξ (t) is the lumped time-varying disturbance that is completely unknown, representing internal dynamics, model uncertainties, and external disturbances of the system. The same treatment of (8) has been applied and reported in literature such as [27], [36], [37]. Assumption 1: Suppose that the first m time derivative of the lumped disturbance ξ (t) of system (8) exits, and ξ (t) can be represented in the following time-varying form [41]:…”

Section: Controller Design and Stability Analysis A Plant Pre-processingmentioning

confidence: 99%

Robust Finite-Time Output Feedback Control for Systems With Unpredictable Time-Varying Disturbances

et al. 2020

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This work presents a robust finite-time output feedback control method for a number of nonlinear systems that suffer unpredictable time-varying disturbances. The developed method takes advantage of control techniques based on a finite-time state observer used to estimate the lumped disturbance, where the estimator plays an important role in online compensation after being transmitted to a corresponding controller. Besides, with the state estimation provided by the finite-time state observer, the finite-time output feedback controller can guarantee the finite-time stability of the closed-loop system. The experimental results validate the effectiveness of the developed method on the trajectory tracking control of a robot manipulator.INDEX TERMS Disturbance compensation, finite-time state observer, robust finite-time output feedback control, time-varying disturbance.

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Section: Controller Design and Stability Analysis A Plant Pre-processingmentioning

confidence: 99%

Robust Finite-Time Output Feedback Control for Systems With Unpredictable Time-Varying Disturbances

et al. 2020

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“…For example, a robust framework for an extensive range of applications, especially estimation problems in control, is presented in [17]. It has been used successfully to identify the parameters of the IM model in [18] and to estimate disturbances in [19].…”

Section: Introductionmentioning

confidence: 99%

Algebraic Speed Estimation for Sensorless Induction Motor Control: Insights from an Electric Vehicle Drive Cycle

Neira-García,

Beltrán-Pulido,

Cortés-Romero

2024

Electronics

Self Cite

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Induction motors (IMs) must meet high reliability and safety standards in mission-critical applications, such as electric vehicles (EVs), where sensorless control strategies are fundamental. However, sensorless rotor speed estimation demands improvements to overcome filtering distortions, tuning complexities, and sensitivity to IM model mismatch. Algebraic methods offer inherent filtering capabilities and design flexibility to address these challenges without introducing additional dynamics into the control system. The objective of this paper is to provide an algebraic estimation strategy that yields an accurate rotor speed estimate for sensorless IM control. The strategy includes an algebraic estimator with single-parameter tuning and inherent filtering action. We propose an EV case study to experimentally evaluate and compare its performance with a typical drive cycle and a dynamic torque load that emulates a small-scale EV power train. The algebraic estimator exhibited a signal-to-noise ratio (SNR) of 43 dB. The closed-loop experiment for the EV case study showed average tracking errors below 1 rad/s and similar performance compared to a well-known sensorless strategy. Our results show that the proposed algebraic estimation strategy works effectively in a nominal speed range for a practical IM sensorless application. The algebraic estimator only requires single-parameter tuning and potentially facilitates IM model updates using a resetting scheme.

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“…On the other hand, a new intelligent proportional–derivative (i-PD) controller for active suspension system with 2 degrees of freedom was proposed by Haddar et al 10 In this study, i-PD was designed similarly to active disturbance rejection control (ADRC). For solving the problem of precise tuning process requirement, 11,12 Haddar et al 13 suggested a modification in classical ADRC structure to ameliorate the dynamic response and prevent the problem of sprung mass uncertainties. Moreover, Wang et al 4 proposed a model free control based on fractional-order sliding mode.…”

Section: Introductionmentioning

confidence: 99%

Intelligent optimal controller design applied to quarter car model based on non-asymptotic observer for improved vehicle dynamics

Haddar

Chaari

Başlamışlı

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part I:

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A novel active suspension control strategy is introduced to improve dynamic response of vehicle suspension systems. The proposed algorithm is a fusion of classical controller design methods together with an online observer and is based on the cancelation of system disturbances. The operational calculus method and the differential algebraic theory are applied to build the observer/compensator that is appended to the classical linear quadratic regulator. An ultra-local model based on linear algebraic rules is presented avoiding the use of a precise mathematical model while guaranteeing the stability of the overall system. Simplicity of implementation, low power demand and significant enhancement of active suspension performance are the observed features of the proposed controller. The numerical simulations illustrate the effectiveness and the robustness against sprung mass variation of the proposed control method compared to proportional–integral–derivative controller, intelligent proportional–derivative controller, linear quadratic regulator and active disturbance rejection—linear quadratic regulator.

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Algebraic estimation and active disturbance rejection in the control of flat systems

Cited by 21 publications

References 32 publications

Robust Finite-Time Output Feedback Control for Systems With Unpredictable Time-Varying Disturbances

Robust Finite-Time Output Feedback Control for Systems With Unpredictable Time-Varying Disturbances

Algebraic Speed Estimation for Sensorless Induction Motor Control: Insights from an Electric Vehicle Drive Cycle

Intelligent optimal controller design applied to quarter car model based on non-asymptotic observer for improved vehicle dynamics

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