Sliding mode control based on the reaching law approach — A brief survey

Latosiński, Paweł

doi:10.1109/mmar.2017.8046882

Cited by 23 publications

(12 citation statements)

References 41 publications

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“…Strategie wykorzystujące ruchome hiperpowierzchnie ślizgowe w sterowaniu dyskretnymi obiektami dynamicznymi nie są tak powszechne jak ich odpowiedniki dla układów ciągłych. Znacznie powszechniejszą metodą zapewnienia odporności układu dyskretnego na zakłócenia i niepewności modelu są tak zwane predefiniowane przebiegi zmiennej ślizgowej [37,38]. Niemniej jednak, kilku autorów zdecydowało się wykorzystać takie hiperpowierzchnie również w sterowaniu układami ciągłymi.…”

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Sliding Mode Control Strategies with a Time-Varying Switching Hypersurface - a Brief Survey

Latosiński¹

2020

PAR

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Sliding Mode Control Strategies with a Time-Varying Switching Hypersurface - a Brief Survey

Latosiński¹

2020

PAR

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“…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%

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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“…non-switching reaching law [9]- [15], the observed based reaching law [16]- [20], the power reaching law [7], [9], [21], the generalized reaching law [22]- [24], and so on.…”

Section: Introductionmentioning

confidence: 99%

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

2019

IEEE Access

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This paper proposes a multi-power reaching law-based sliding-mode control (SMC) for uncertain discrete-time systems. The proposed controller mainly consists of the multi-power function along with the perturbation estimation. Different from the existing similar works, the control gains of the controller are adaptively adjusted by the multi-power function, i.e., three power terms, according to different stages of the convergence process. Hence, the system trajectory of the controlled system can be forced toward the sliding surface with a faster convergence rate. The corresponding sliding-mode dynamics and the reaching steps to the sliding surface are theoretically analyzed. A practical example is given to examining the validity of the proposed method. The simulation results show that the proposed method reduces the reaching steps while guaranteeing better control accuracy than the single power method. INDEX TERMS Multi-power function, discrete-time sliding-mode control (DSMC), reaching law.

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Sliding mode control based on the reaching law approach — A brief survey

Cited by 23 publications

References 41 publications

Sliding Mode Control Strategies with a Time-Varying Switching Hypersurface - a Brief Survey

Sliding Mode Control Strategies with a Time-Varying Switching Hypersurface - a Brief Survey

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

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

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