A new integral sliding mode design method for nonlinear stochastic systems

Recently, wind power production has been under the focus in generating power and became one of the main sources of alternative energy. Generating of maximum power from wind energy conversion system (WECS) requires accurate estimation of aerodynamic torque and uncertainties presented in the system. The current paper proposed the generalized high‐order disturbance observer (GHODO) with integral sliding mode control (ISMC) for extraction of maximum power via variable speed wind turbine by accurate estimation of wind speed. The assumption in previous works that considers the aerodynamic torque as slow‐varying is not applicable for the real system. Therefore, the high‐order disturbance observers were designed for precise estimation of uncertainties with fast‐changing behavior. A robust control system was designed to control the speed of the rotor at the optimal speed ratio. The obtained simulation results have shown the better performance characteristics than conventional linear quadratic regulator (LQR) approach. The stability of the proposed algorithm was proven by Lyapunov stability anaysis. Simulations results were obtained in Matlab/Simulink environment.

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“…From the mathematical model described by Equations (17) to (19), the state matrix A and control matrix B in (26) are found:…”

Section: Lq Optimal Controller Designmentioning

confidence: 99%

“…From this, the whole system becomes robust from the beginning. The studies have proposed robust observer design with ISMC method to deal with disturbances in systems. ISMC systems have been successfully implemented for aerospace applications, control a nonlinear stochastic system, pneumatic force servo system, etc.…”

Section: Introductionmentioning

confidence: 99%

Disturbance observer‐based integral sliding mode control for wind energy conversion systems

et al. 2020

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“…Active suspension can solve the problem of driving comfort and control stability under different working conditions that cannot be solved by traditional passive suspension. In recent years, some new control strategies have been put forward , so research into the active suspension system combining with new control strategies has become a hot topic in recent years .…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Sliding Mode Control for Active Suspension System with Proportional Differential Sliding Mode Observer

Lin

2018

Asian Journal of Control

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In this paper, a generalized augmented transformation is considered for the quarter active suspension system with uncertainties. Specifically, the model uncertainties are converted to the augmented states and a new proportion differential sliding mode observer is used to estimate state variables and model uncertainties. A differential geometric method is applied to linearize the nonlinear suspension model. In order to weaken the vibration effect of sliding mode control force and reduce energy consumption, a fuzzy sliding mode controller is designed for the active suspension system and the fuzzy controller is applied to adjust switching control gain according to the reaching condition of sliding mode surface. The simulations are conducted to illustrate the effectiveness and advantages of this proposed observer and control strategy.

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“…An observer based on the sliding mode control method (SMC) was derived for the aeroelastic system . Due to the advantage of immunity from external disturbance and system uncertainty, SMC has been widely used in electric circuits , multi‐spacecrafts , autonomous airships , stochastic systems , Markovian jump systems and fault tolerant control . However, the chattering phenomenon in traditional SMC limits the application of the actual engineering.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Observer Controller Design for a Two Dimensional Aeroelastic System with Gust Load

Yuan¹,

Qiu²,

Wang³

2018

Asian Journal of Control

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The aim of this paper is to develop state estimation and sliding mode control schemes for the vibration suppression of an underactuated wing aeroelastic system in the presence of a gust load disturbance. Ignoring structural elastic deformation and using the concentrated elastic system (spring) to simulate the overall elastic deformation, this aeroelastic model consists of a straight wing and spring system, describing flap and pitch freedoms. The corresponding dynamic motion equation is established using the Lagrange method, and the gust is modeled as a typical "1-cosine" gust. The aerodynamic lift and moment on the wing are computed by strip theory. The open loop system exhibits the limit cycle oscillations (LCOs) at a certain freestream velocity. The objective is to design a control system for suppressing the LCOs. For the purpose of control, a single trailing-edge control surface is used. It is assumed that only the pitch angle is measured and the remaining state variables needed for full state feedback are estimated by the designed observer. Then an integral sliding surface is put forward on the estimation space; a new continuous reaching law is proposed to reduce the chattering phenomena. The finite-time reachability of the predesigned sliding surface is proved and guaranteed by the designed sliding mode control law. The sufficient condition for the asymptotic stability of the closed-loop system composed of the sliding mode dynamics and the error dynamical system is derived in terms of linear matrix inequality (LMI). The effectiveness of the proposed strategy is finally demonstrated by simulation results.

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A new integral sliding mode design method for nonlinear stochastic systems

Cited by 93 publications

References 24 publications

Disturbance observer‐based integral sliding mode control for wind energy conversion systems

Disturbance observer‐based integral sliding mode control for wind energy conversion systems

Fuzzy Sliding Mode Control for Active Suspension System with Proportional Differential Sliding Mode Observer

Sliding Mode Observer Controller Design for a Two Dimensional Aeroelastic System with Gust Load

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