Modified adaptive second order sliding mode control: Perturbed system response robustness

Seyedtabaii, S.

doi:10.1016/j.compeleceng.2019.106536

Cited by 7 publications

(2 citation statements)

References 23 publications

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“…Concerning uncertainty in the network, robust controller design is highly appreciative to preserve system performance despite uncontrolled disturbances. Common approaches toward robust designs are fractional order [13], various sliding mode approaches [14,15], μ synthesis [16], H ∞ controllers, using Linear Matrix Inequality (LMI), and applying Kharitonov theorem. In [17], a robust state feedback centralized controller in terms of LMI constraints has been developed.…”

Section: Introductionmentioning

confidence: 99%

Robust decentralized control of interval DC linked hybrid microgrids network

Nabi

Seyedtabaii

2022

IET Control Theory & Appl

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Here, a robust sparse decentralized controller (RSDC) for uncertain DC-linked hybrid microgrids is designed. The robustness against load/generation uncertainty is guaranteed using Kharitonov's stability criteria and sparsity is promoted by appending an l 1 term to the typical Linear Quadratic Regulator (LQR). To improve the convergence rate, the differentiable term of the composite cost function is second order approximated, the coordinate descent technique is adopted, and the "active set" idea which limits the search to the effective regions is employed. In addition, the level of sparsity is automatically and optimally adjusted not to compromise the system's stability and robustness. The algorithm is applied to a 69-bus (consist of 7 hybrid microgrid) distribution system and the controller sparsity percentage, design convergence rate, and performances are compared with the H 2 and H ∞ designs. The results indicate that the proposed method is superior to the others in all aspects, which are presented by the numerical indices, the time-domain transient responses, and the closed-loop poles map.

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Section: Introductionmentioning

confidence: 99%

Robust decentralized control of interval DC linked hybrid microgrids network

Nabi

Seyedtabaii

2022

IET Control Theory & Appl

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“…A robust sparse design has been discussed in [13], where the H 2 technique for an interconnected system with polytopic uncertainties is simulated. The application of sliding mode in control of uncertain systems has been analysed in [14,15].…”

Section: Introductionmentioning

confidence: 99%

Optimal sparse control of interval networks: Voltage source converter based DC grid study

Nabi

Seyedtabaii

2021

IET Generation Trans & Dist

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Decentralized optimal control of interval state space systems involves significant complications due to the required sparsity, robustness, and convergence rate. By adding an l1 term to the standard linear quadratic optimization, the obtained composite index, accommodating the sparsity, contains both differentiable and non-differentiable terms. Knowing that the choice of optimization techniques are problem-dependent, in this paper, several smart provisions such as "Active set", "Coordinate descent", and separately managing the differentiable part of the cost function are put together to form a relatively fast algorithm. In addition, a rule is introduced to adjust automatically the degree of sparsity and a constraint to confine the interval closed-loop system eigenvalues to the desired s plane region. As a result, a robust sparse decentralized control (RSDC) approach for interval networks is established. The RSDC method is utilized for the control of a multi-terminal VSC (Voltage Source Converter ) -based DC (Direct Current) grid with parametric uncertainty under various external random perturbations. The test results show that the proposed method with just 20 feedback links (out of available 100) performs superiorly to the alternative ones in terms of sparsity, convergence rate, and time-domain performances, verified through extensive simulations.

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Robust integral terminal sliding mode controller for model reference tracking control of matched/mismatched uncertain nonlinear time-delay systems

Pai

2023

Int. J. Dynam. Control

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Modified adaptive second order sliding mode control: Perturbed system response robustness

Cited by 7 publications

References 23 publications

Robust decentralized control of interval DC linked hybrid microgrids network

Robust decentralized control of interval DC linked hybrid microgrids network

Optimal sparse control of interval networks: Voltage source converter based DC grid study

Robust integral terminal sliding mode controller for model reference tracking control of matched/mismatched uncertain nonlinear time-delay systems

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