Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control

Ma, Haifeng; Li, Yangmin

doi:10.1109/access.2019.2904103

Cited by 22 publications

(12 citation statements)

References 33 publications

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“…Given the complex nature of the model, as evident from (1)- (15), analytical derivation of any kind of control technique is impossible. Typical analysis of Lipschitz properties of the functions is also not doable, and deriving an analytical solution of the system response is barely possible due to such nonlinear structure of the model.…”

Section: Figure 1 Control Loops For Pressure and Level Outputsmentioning

confidence: 99%

“…Although integral SMC increases the order of sliding phase dynamics, which becomes equal to the system's dimension, the trajectory is made to start exactly at the sliding manifold, thereby eliminating the reaching phase [12]. Another line of SMC is dedicated to modifying the reaching dynamics by using hyperbolic terms [13], non-switching law [14], power terms [15], and many others [16] in control formulation. The target of such works is to develop unique kinds of sliding variable dynamic equations to improve the dynamics of reaching and sliding phases.…”

Section: Introductionmentioning

confidence: 99%

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Design of Sliding Mode Control for Complex Nonlinear Models: A Numerical Approach

Rehan

Al‐Durra

2020

IEEE Access

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In this work, a numerical approach of formulating Sliding Model Control (SMC) is proposed to deal with complex nonlinear models of certain physical systems. Analytical formulation of SMC for such models is not possible as SMCs require algebraic manipulation of system equations, which is not achievable when the system model has strong nonlinearities. For such models, it is proposed to solve the SMC design using a numerical method that deals with numerical values instead of variables or functions in the equations. Mostly, SMC control law is dependent on the bounds of variables that are present in the mathematical expression of time derivatives of the sliding variable. To compute these bounds, a numerical approach is carried out using uncertainty bounds of the system's parameters. Also, a numerical approach is used to compute time derivatives of nonlinear functions that are required in the formulation of SMC. Various forms of SMCs are investigated in this respect, including the basic first-order SMC and a second-order SMC. The proposed framework is generalized as well, making it compatible with a wide range of nonlinear models whose algebraic manipulation is not possible. A prototype example of a nonlinear model of a boiler is used as a proof-of-concept. The simulation results are promising and prove the efficacy of the proposed approach.

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Section: Figure 1 Control Loops For Pressure and Level Outputsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of Sliding Mode Control for Complex Nonlinear Models: A Numerical Approach

Rehan

Al‐Durra

2020

IEEE Access

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“…The literature [18] designed a novel enhanced double power reaching law that could improve the convergence rate and reduce the chattering. The literature [19] proposed a multi-power reaching law with three power terms to quicken the response of a discretetime system. The literature [20] presented a new reaching law based on the selection of the piecewise function term, which could adaptively adjust the reaching rate to the sliding surface.…”

Section: Introductionmentioning

confidence: 99%

A Novel Global Fast Terminal Sliding Mode Control Scheme for Second-Order Systems

et al. 2020

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To speed up the response and reduce the chattering of a sliding mode control system, a novel reaching law with two variable power terms is proposed, which makes the system have a fast approaching rate either far away from or close to the sliding surface. Moreover, an improved global fast terminal sliding surface with the dynamic coefficients is proposed, which can make the system states arrive at the equilibrium point along the sliding surface with a fast convergence rate. Furthermore, a novel global fast terminal sliding mode controller is designed by employing the proposed reaching law and sliding surface, which can quicken the convergence rate of the system states in both the reaching phase and the sliding phase. Theoretical analysis shows that the proposed controller can ensure finite-time convergence. Experiment results are presented to verify the effectiveness and superiority of the proposed global fast terminal sliding mode control scheme. INDEX TERMS Reaching law, sliding surface, global fast terminal sliding mode control. LEI MEI (Member, IEEE) received the B.Eng. degree from the

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“…This paper proposes a robust intelligent SMC with a simple architecture and a clear design methodology for MPPT-based high-performance pure sine wave inverters. The robust SMC using nonlinear regime not only ensures that the system state can reach the sliding surface in a limited time, but also demonstrates the capability to suppress severe intrusions in a closed-loop feedback system, which can allow the control more accurate and ensure the stability of the system [17][18][19][20]. The steady-state performance and tracking speed during transients in MPPT inverter system can be improved indeed [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

High-Performance Pure Sine Wave Inverter with Robust Intelligent Sliding Mode Maximum Power Point Tracking for Photovoltaic Applications

Chang

2020

Micromachines

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Photovoltaic (PV) power generation has been extensively used as a result of the limited petrochemical resources and the rise of environmental awareness. Nevertheless, PV arrays have a widespread range of voltage changes in a variety of solar radiation, load, and temperature circumstances, so a maximum power point tracking (MPPT) method must be applied to get maximum power from PV systems. Sliding mode control (SMC) is effectively used in PV power generation due to its robustness, design simplicity, and superior interference suppression. When the PV array is subject to large parameter changes/highly uncertain conditions, the SMC leads to degraded steady-state performance, poor transient tracking speed, and unwanted flutter. Therefore, this paper proposes a robust intelligent sliding mode MPPT-based high-performance pure sine wave inverter for PV applications. The robust SMC is designed through fast sliding regime, which provides fixed time convergence and a non-singularity that allows better response in steady-state and transience. To avoid the flutter caused by system unmodeled dynamics, an enhanced cuckoo optimization algorithm (ECOA) with automatically adjustable step factor and detection probability is used to search control parameters of the robust sliding mode, thus finding global optimal solutions. The coalescence of both robust SMC and ECOA can control the converter to obtain MPPT with faster convergence rate and without untimely trapping at local optimal solutions. Then the pure sine wave inverter with robust intelligent sliding mode MPPT of the PV system delivers a high-quality and stable sinusoidal wave voltage to the load. The efficacy of the proposed method is validated on a MPPT pure sine wave inverter system by using numerical simulations and experiments. The results show that the output of the proposed PV system can improve steady-state performance and transient tracking speed.

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Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control

Cited by 22 publications

References 33 publications

Design of Sliding Mode Control for Complex Nonlinear Models: A Numerical Approach

Design of Sliding Mode Control for Complex Nonlinear Models: A Numerical Approach

A Novel Global Fast Terminal Sliding Mode Control Scheme for Second-Order Systems

High-Performance Pure Sine Wave Inverter with Robust Intelligent Sliding Mode Maximum Power Point Tracking for Photovoltaic Applications

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