The article deals with the issues of synthesis and analysis of information-measuring and control systems of quadrocopters. The main sensors and modules used to determine the parameters of the coordinates of quadrocopters are given. The speed-controlled electric drives used for control and the features of their choice are considered. The coordinate systems (fixed and mobile) and the kinematic scheme are given, according to which a system of differential equations is presented. The system describes the dynamics of the quadrocopter movement and takes into account the expected smooth movement of the quadrocopter with small roll and pitch angles. A functional scheme and a mathematical model of the information-measuring and control system of the quadrocopter in the form of a block diagram are developed taking into account the influence of delays in the receipt of information from the sensors of the quadrocopter parameters. A special feature of this work is to take into account the specific characteristics of the elements: adjustable electric drives (both direct and alternating current), parameter sensors (barometers, accelerometers, rangefinders, etc.). The paper studies an illustrative algorithm for the operation of the informationmeasuring and control system of the quadcopter. The type and parameters of the controllers of the quadrocopter control systems are determined. Special attention is paid to the settings for the control contours at the corresponding coordinates. The influence of the controllers of the coordinate control systems of the information-measuring and control systems of the quadrocopter on the effects of the interaction of coordinates is considered. The simulation results are presented. The optimal number of control loops for the coordinates of the information-measuring and control systems of the quadrocopter and the optimal type of settings for obtaining smooth transients (without overshoot) and for excluding the interaction of coordinates on quality indicators are determined.
The article considers the method of approximate determination, analysis and synthesis of the roots of real algebraic equations of high order. The solution of such problems is relevant in the case of designing information-measuring and control systems, studying the dynamics of movement of various mechanisms (industrial robots, quadrocopters, etc.), determining the trajectories of aircraft, etc. The analytical solution of such problems is limited to equations of the third (sometimes fourth) degree, in other cases it is necessary to use either special sequential algorithms or packages of applied computer programs such as "Wolfram.Matematica", which allow only to find the roots of the equations, but not to synthesize them. The proposed method is based on the application for the decomposition of the studied polyomial (corresponding to the equation) into the simplest multipliers corresponding to aperiodic and/or oscillatory links, asymptotic logarithmic amplitude and phase-frequency characteristics. The form and values of the roots of the equation are proposed to be judged by the slopes at the fracture points of the logarithmic amplitude and phase-frequency characteristics of the polyparticle under study. The construction of logarithmic amplitude and phase-frequency characteristics is carried out by discarding the "small" terms of the polygamy at separate frequency intervals. A feature of the method is the possibility of its use both in conjunction with the computer and without it. Manual use of the method assumes that the user has a calculator and a ruler. The method allows to determine not only the roots of real algebraic equations (both real and complex), but also to establish a visual relationship between the coefficients for the terms of the equations with the type and values of the roots and purposefully change the necessary coefficients to change the parameters and type of roots. The possibilities of the method are not limited to solving real algebraic equations with positive coefficients and integer powers, it shows quite satisfactory results for equations with mixed coefficients and fractional powers. The method is quite simple, clear, has a small error in the case of far spaced roots, but in the case of closely spaced roots, its error increases, although it remains quite acceptable. The article presents the substantiation of the method, shows numerous examples of its capabilities, compares the results obtained with the results obtained with the help of the package of applied computer programs "Wolfram.Matematica".
The article deals with the issues of reducing the influence of wind load on the information-measuring and control systems of tricopters. A feature of the work is the development of a general mathematical model of a tricopter, taking into account the specific characteristics of the elements: adjustable electric drives, parameter sensors (barometers, accelerometers, rangefinders, etc.). The type and parameters of the controllers of tricopter coordinate control systems are determined. A variant of reducing the influence of wind load on the information-measuring and control systems of tricopters by organizing control loops for the speeds of electric motors is considered.
The article is devoted to the study of determining the quality indicators of the controlled electric drives that determine the characteristics of metal-cutting machine tools, robocars, industrial robots and other automatic equipment. The main trends in the development of electric drives are highlighted. Special attention is paid to the technical requirements for the controlled electric drives. A mathematical model of an electric drive with a valve motor is presented, using which it is possible to determine the main metrological characteristics of the electric drive specified in GOST even at the design stage, using a mathematical device. The use of the presented mathematical model makes it possible to make changes to the planned operating modes of the electric drive, select the parameters of the speed and current regulators, and study the influence of non-linearities. The model reflects all the features of the circuit design of the regulators and the power amplifier. The work presents tachograms for determining the coefficients of uneven rotation and frequency bandwidth. The analysis of the obtained tachograms makes it possible to theoretically determine the range of speed control of the electric drive. The results of an experimental study of a test sample of the controlled electric drive under consideration are presented, illustrating the correctness of the calculations performed.
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