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Higher Order sliding mode Observers in Power Grids With Traditional and Renewable Sources

IEEE control SYSTEMS LETTERS 2020年第1期4卷 223-228页

作者： Rinaldi, Gianmario Menon, Prathyush P. Edwards, Christopher Ferrara, Antonella Univ Pavia Dept Elect Comp & Biomed Engn I-27100 Pavia Italy Univ Exeter Coll Engn Math & Phys Sci Exeter EX4 4QF Devon England

This letter considers the application of higher order sliding mode (SM) observers to robustly and dynamically estimate the unmeasured state variables in modern power grids, in which both traditional and renewable energy sources coexist. In particular, a power grid composed of traditional, wind and inverter-based sources connected with dynamical loads is considered. Assuming that only the voltage phase angles are locally measured, a dedicated higher order SM observer is designed for each component, which is able to estimate in finite time the unmeasured state variables. Numerical simulations demonstrate the accuracy of the proposed scheme, also when compared with well-established linear observers.

关键词： Observers for nonlinear systems variable-structure/sliding-mode control power systems

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Optimal Lyapunov-Based Reaching Time Bounds for the Super-Twisting Algorithm

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IEEE control SYSTEMS LETTERS 2019年第4期3卷 924-929页

作者： Seeber, Richard Horn, Martin Graz Univ Technol Inst Automat & Control Christian Doppler Lab Model Based Control Complex A-8010 Graz Austria

The super-twisting algorithm is a second-order sliding mode control law commonly used for robust control and observation. One of its key properties is the finite time it takes to reach the sliding surface. Using Lyapunov theory, upper bounds for this reaching time may be found. This contribution considers the problem of finding the best bound that may be obtained using a family of quadratic Lyapunov functions. An optimization problem for finding this bound is derived, whose solution may be obtained using semidefinite programming. It is shown that the restrictions imposed on the perturbations and the conservativeness of the obtained bound are significantly reduced compared to existing results from literature.

关键词： variable-structure/sliding-mode control convergence time Lyapunov functions optimization LMIs

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Guaranteeing Disturbance Rejection and control Signal Continuity for the Saturated Super-Twisting Algorithm

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IEEE control SYSTEMS LETTERS 2019年第3期3卷 715-720页

作者： Seeber, Richard Horn, Martin Graz Univ Technol Inst Automat & Control Christian Doppler Lab Model Based Control Complex A-8010 Graz Austria

The saturated super-twisting algorithm is a second order sliding-mode control law for robust control in the presence of a bounded control input. Its implementation is based on a switching logic and the resulting control signal typically exhibits a single jump discontinuity. This contribution presents novel stability conditions that allow for tuning the algorithm such that perturbation amplitudes up to the control input bound are rejected with a continuous control signal. A simplified control law is furthermore proposed, which is equivalent to the original algorithm while being easier to implement.

关键词： variable-structure/sliding-mode control constrained control Lyapunov methods

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sliding mode Based Dynamic State Estimation for Synchronous Generators in Power Systems

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IEEE control SYSTEMS LETTERS 2018年第4期2卷 785-790页

This letter deals with the design of a robust sliding mode observer for dynamic state estimation applied to synchronous generators in power systems. Assuming only the frequency deviation of the generator is measured via phasor measurement units, we use a robust sliding mode estimation technique to dynamically reconstruct the rotor angle and the transient voltage. The adopted estimation technique is insensitive to matched bounded uncertainties affecting the dynamics of the synchronous generator. A stability analysis and tuning rules for the observer are also provided. Numerical simulations confirm the validity of the approach.

关键词： Observers for nonlinear systems variable-structure/sliding-mode control power systems

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Third Order sliding mode Observer-Based Approach for Distributed Optimal Load Frequency control

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IEEE control SYSTEMS LETTERS 2017年第2期1卷 215-220页

作者： Rinaldi, Gianmario Cucuzzella, Michele Ferrara, Antonella Univ Pavia Dipartimento Ingn Ind & Informaz I-27100 Pavia Italy

In this letter, we propose a third order sliding mode observer-based approach for optimal load frequency control in power networks which are partitioned into control areas. We model each area by an equivalent generator including second-order turbine-governor dynamics. Assuming to measure only few state variables, we design two third order sliding mode observers for each control area to locally estimate the unmeasured states. We introduce also a distributed second order sliding mode control strategy, which makes use of the estimates coming from the observers and achieves both frequency regulation and minimization of generation costs. The simulation results confirm the validity of the proposed approach.

关键词： variable-structure/sliding-mode control observers for nonlinear systems power systems

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Super-Twisting control of Double Integrator Systems With Unknown Constant control Direction

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IEEE control SYSTEMS LETTERS 2017年第2期1卷 370-375页

作者： Ton, Chau Mehta, Siddhartha S. Kan, Zhen US Air Force Res Lab Kirtland Air Force Base Albuquerque NM 87117 USA Univ Florida Shalimar FL 32547 USA Univ Iowa Iowa City IA 52246 USA

A continuous sliding mode controller is developed for double integrator systems with constant unknown control direction. Additionally, the system is assumed to be subjected to unknown non-vanishing disturbances. The controller yields finite time convergence to hyper sliding surface and guarantees that the origin of the system is exponentially stable. Simulation and experimental results are provided to validate the proposed control algorithm.

关键词： variable-structure/sliding-mode control robust control uncertain systems

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sliding mode Based Platooning With Non-Zero Initial Spacing Errors

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IEEE control SYSTEMS LETTERS 2017年第2期1卷 274-279页

作者： Rupp, Astrid Steinberger, Martin Horn, Martin Graz Univ Technol Inst Automat & Control A-8010 Graz Austria

This letter presents a novel approach to unidirectional formation control of multiple vehicles with non-zero initial spacing errors. It is based on concepts of first-order sliding mode control. A combination of two adaptive sliding surfaces enables collision-free platooning with asymptotic convergence to constant distance spacings. It is an attractive feature of the proposed algorithm that only position and velocity of the preceding vehicle are used so that no car-to-car communication is necessary.

关键词： variable-structure/sliding-mode control autonomous vehicles cooperative control

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Three Dimensional Impact Angle Constrained Guidance Law using sliding mode control

Three Dimensional Impact Angle Constrained Guidance Law usin...

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American control Conference

作者： Kumar, Shashi Ranjan Ghose, Debasish Indian Inst Sci Dept Aerosp Engn Guidance Control & Decis Syst Lab Bangalore 560012 Karnataka India

ISBN: (纸本)9781479932740

In this paper, three dimensional impact angle control guidance laws are proposed for stationary targets. Unlike the usual approach of decoupling the engagement dynamics into two mutually orthogonal 2-dimensional planes, the guidance laws are derived using the coupled dynamics. These guidance laws are designed using principles of conventional as well as nonsingular terminal sliding mode control theory. The guidance law based on nonsingular terminal sliding mode guarantees finite time convergence of interceptor to the desired impact angle. In order to derive the guidance laws, multi-dimension switching surfaces are used. The stability of the system, with selected switching surfaces, is demonstrated using Lyapunov stability theory. Numerical simulation results are presented to validate the proposed guidance law.

关键词： Acceleration Convergence Lyapunov methods sliding mode control Switches Three-dimensional displays Vectors Aerospace Nonlinear systems variable-structure/sliding-mode control

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sliding mode Boundary control for an Euler-Bernoulli Beam with Boundary Disturbances and Parameter Variations

Sliding Mode Boundary Control for an Euler-Bernoulli Beam wi...

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American control Conference

作者： Karagiannis, Dimitri Radisavlejevic-Gajic, Verica Villanova Univ Dept Mech Engn Ctr Nonlinear Dynam & Control CENDAC Villanova PA 19085 USA

ISBN: (纸本)9781479932740

This work addresses the problem of stability and control of an Euler-Bernoulli beam with sliding-pinned boundary conditions. The control comes in the form of an applied displacement and bending moment on the pinned end. The proposed controller accounts for bounded exogenous disturbances on the pinned end boundary conditions, representing a number of possible practical issues such as model parameter uncertainties or unknown external forces. This controller takes advantage of a technique for stabilizing an Euler-Bernoulli beam through a Schrodinger equation representation and a previously developed integral transformation which provides the opportunity to select arbitrary damping for the system. The contribution of this work is to introduce unknown boundary disturbances into the system boundary terms and the development of a sliding mode controller which effectively drives the system states to an exponentially stable infinite-dimensional sliding surface which then eliminates the system vibration with arbitrary damping. The resulting control efforts developed are continuous functions and therefore do not create a chattering effect on control actuators.

关键词： Boundary conditions Equations Integral equations Kernel Mathematical model Transforms Uncertainty Distributed parameter systems Flexible structures variable-structure/sliding-mode control

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Dual-Layer Adaptive sliding mode control

Dual-Layer Adaptive Sliding Mode Control

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American control Conference

作者： Edwards, Christopher Shtessel, Yuri Univ Exeter Coll Engn Math & Phys Sci Exeter EX4 4QF Devon England

ISBN: (纸本)9781479932740

This paper proposes new and novel equivalent control-based adaptive schemes for both conventional and super-twisting sliding mode control algorithms. The approach is based on a dual layer nested adaptive scheme which is quite different to the existing schemes proposed in the sliding mode literature. The new adaptive schemes do not require knowledge of the minimum and maximum allowable values of the adaptive gains, and more importantly do not require information about the upper-bound of the disturbances and their derivatives. The underlying idea can be applied to a variety of sliding mode control structures and relies more on the availability of an online approximation of the equivalent control, than the precise control law used to induce and maintain sliding.

关键词： Approximation methods Equations Lyapunov methods sliding mode control Switches Uncertainty Adaptive systems variable-structure/sliding-mode control

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