DOI: https://doi.org/10.15587/2312-8372.2014.32251

Static characteristics of electromechanical systems with second order sliding mode

Роман Сергеевич Волянский

Abstract


The article is devoted to analytical investigation of the steady state points of generalized closed electromechanical systems that are experiencing the oscillatory processes. The main purpose of this paper is to develop the method for steady-state values determining of the state vector components of a closed system, depending on its control algorithms and equations of motion. Methods of differential geometry and modern control theory allow converting these equations, representing them to the different phase spaces. Transition to the space, the coordinates of which are interconnected by differential dependencies, is done in the work by the feedback conversions and a system of equations of a generalized electromechanical object motion in controlled Brunovsky form is obtained. Based on the analysis of the system it is found the equation of static equilibrium of the object, and it is shown that this equation equating to controller algorithm simplifies the determination of steady-state values of the state variables of the object. Using the proposed method is illustrated by the definition of control error and finding the static characteristics of control loop of DC electric drive position. This material can be useful for specialists in the field of electromechanical systems of automation and control systems of dynamic objects.

Keywords


electromechanical system; second-order sliding mode; static characteristics; nonlinear control

References


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ISSN (print) 2664-9969, ISSN (on-line) 2706-5448