<scp>Luenberger‐type</scp>cubic observers for state estimation of linear systems

Pasand, Mohammad Mahdi Share

doi:10.1002/acs.3125

Cited by 10 publications

(5 citation statements)

References 33 publications

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“…In this example, the robustness property of the proposed approach is addressed. We consider one Example in (Pasand, 2019) aswhere A=[0100], B=[0;1], C=[10] and u=sin(t). The purpose is to estimate the second state from the measured output by employing our proposed approach and the proposed approach in (Boukal and Enjalbert, 2019; Lien, 2004; Pasand, 2019) to compare the estimation error of the signal x2.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…We consider one Example in (Pasand, 2019) aswhere A=[0100], B=[0;1], C=[10] and u=sin(t). The purpose is to estimate the second state from the measured output by employing our proposed approach and the proposed approach in (Boukal and Enjalbert, 2019; Lien, 2004; Pasand, 2019) to compare the estimation error of the signal x2.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…In this example, the robustness property of the proposed approach is addressed. We consider one Example in (Pasand, 2019) as…”

Section: ¼mentioning

confidence: 99%

“…In the literature, there are abundant robust observers for continuous systems, each with its merits and applicability, such as the Luenberger observer (Pasand, 2019), the H∞ observer (Lee et al, 2019; Noshadi et al, 2015), the H2 observer (Kang et al, 2018), the mixed H2/H∞ observer (Morato et al, 2019; Oveisi and Nestorovic´, 2016), and the sliding mode observer (Asadi et al, 2020; Chan et al, 2019; Chen et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

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Direct search-based optimal robust observer for polytopic systems using the concept of inverse system

Abbasi

Dehghani

Asemani

et al. 2022

Journal of Vibration and Control

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In this paper, a novel approach is presented to design an optimal robust observer for polytopic systems using the direct searching method and the concept of inverse systems. First, a Luenberger observer is considered for a sample polytopic system. By applying the direct searching algorithm, the sub-regions of the observer design space that can make the estimation error dynamics asymptotically stable is determined. Then, by applying the Bounded Real Lemma for the inverse system of estimation error dynamics, the optimal [Formula: see text] gain of the observer is found. The simulation results are presented to prove the effectiveness of the proposed algorithm. The proposed approach is applied to a simulated model of a tramway system and the results are satisfactory.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Simulation Resultsmentioning

confidence: 99%

“…In this example, the robustness property of the proposed approach is addressed. We consider one Example in (Pasand, 2019) as…”

Section: ¼mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Direct search-based optimal robust observer for polytopic systems using the concept of inverse system

Abbasi

Dehghani

Asemani

et al. 2022

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…SMOs are preferred for their finite‐time convergence, robustness in the face of uncertainties, and the ability to estimate uncertainties 33–36 . Likewise, the linear time‐varying control observer (LTCO) enhances estimation performance under uncertainties and external disturbances, offering a faster convergence rate with minimal error norm 37 . High‐gain observers (HGOs) boast robustness against significant perturbations and uncertainties, as emphasized in References 3 and 38.…”

Section: Introductionmentioning

confidence: 99%

Robust high‐gain observer‐based sliding mode controller for pitch and yaw position control of an AUV

Desai,

Manjarekar

2023

Adv Control Appl

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This article addresses a trajectory tracking control problem concerning an autonomous underwater vehicle's pitch and yaw channel dynamics in the presence of model uncertainties, underwater disturbances, and input saturation. Three different observers are introduced to estimate unknown state variables: a Luenberger‐type cubic observer, a sliding mode observer, and a high‐gain observer (HGO). Initially, a backstepping controller is employed to tackle the tracking problem, extending it to incorporate backstepping sliding mode control (SMC). The mentioned observers are utilized in both aspects of the controller design. Our proposed control law assesses trajectory tracking performance by introducing virtual control inputs, with the sliding surface designed to guide the current state variables toward approximating the virtual state variables. By combining backstepping and SMC, ensure that the state variables of the closed‐loop system converge to the desired state using the HGO. A rigorous analysis is incorporated to validate the robust performance of our proposed control law under conditions of model uncertainties and underwater disturbances. Furthermore, the control law is extended for anti‐windup compensation, mitigating adverse effects on stern and rudder plane saturation levels. Lyapunov stability theory is adopted to establish the stability of the closed‐loop system. Our simulation results convincingly demonstrate the effectiveness of the HGO‐based backstepping SMC law compared to alternative control approaches.

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Cubic Observers for State Estimation of Nonlinear Systems

Pasand¹,

Ahmadi

2021

J Control Autom Electr Syst

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This paper extends the usage of a recently introduced state observer; the cubic observer, to a relatively large family of nonlinear dynamical systems including one-sided Lipschitz and Lipschitz systems as special cases. Convergence criteria as well as observer-based feedback control are discussed for the proposed observer. An estimate for the domain of attraction is also given for this observer. Simulation examples are given for comparison and clarification.

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Luenberger‐typecubic observers for state estimation of linear systems

Cited by 10 publications

References 33 publications

Direct search-based optimal robust observer for polytopic systems using the concept of inverse system

Direct search-based optimal robust observer for polytopic systems using the concept of inverse system

Robust high‐gain observer‐based sliding mode controller for pitch and yaw position control of an AUV

Cubic Observers for State Estimation of Nonlinear Systems

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