Synthesis and modeling of the multidimensional technological object control system on the state regulator basis

The algorithm of structural and parametric synthesis of automatic control systems for limitedly uncertain non-linear objects with unstable balance status and right own values in their exit matrix is proposed. The pecu-liarity of the structural synthesis algorithm is that synthesized automatic control systems use differential com-pensating connection with two components. The signal of one of them is proportional to the signal of disa-greement between the required and measured values of the state vector of the system. A signal of another com-ponent is formed by the sign-operated integral feedback on the module of the control influence. The algorithm of parametric synthesis is reduced to solving the problem at a conditional minimum of integral regulatory error when limiting the characteristic frequency multi-member module to an algorithmically linearized system.

The issues of analytical synthesis of automatic control systems with a finite transient time of control in relation to a class of linear stationary systems are discussed. The control object is represented by a continuous vector-matrix model of arbitrary order, control unit is represented by a not-recursive discrete model in the form of the finite State Space regulator. The method of algebraic synthesis of finite and quasi-finite control, including optimal synthesis stages of free and forced system motion, is presented. An example of the synthesis of an electromechanical servo control system is considered. The results of the synthesis and simulation are given, confirming the effectiveness of the proposed approaches.

The approach to the synthesis of fractional controllers for automatic control systems circuits by a particle swarm optimization method has been proposed. Novelty of this approach lies in the idea that one is supposed to choose the desired quality of the transition process by the parameters of one of the standard fractional Butterworth forms. The paper considers two variants of the controller parameters synthesis by a particle swarm optimization: using the transition function of desired standard fractional form; using the characteristic points of transition function of desired standard fractional form.

Sub-optimal constant-volume control for open channel networks

Introduction. The effective functioning of a modern multi-functional residential and public and business complex is impossible without the formation of automated building management systems that ensure the implementation of a single digital environment of a residential complex, optimally combining engineering infrastructure with information systems to ensure centralized and efficient management of all buildings and structures on the territory of the complex. Goals and objectives. The aim of the article is to develop proposals for the design of automated building control systems for a residential complex on a digital platform. The tasks include the formation of the main sections of the standard terms of reference for the design of automated building control systems for a residential complex. Methods. Methods of system analysis and synthesis of automatic control systems were used. Results and discussion. The proposed structure of the automated building management system of the residential complex, which uses open protocols and methods of data exchange between the servers of local systems and the central server of the automated building management system of the residential complex, is considered. All elements of building engineering systems that have a digital component must be provided with the technical possibility of remote access via the Internet in compliance with information security requirements. The basic requirements for engineering systems of buildings and the functions they perform are considered. The considered provisions form the basis of a standard technical task for the design of automated building control systems for a residential complex. Conclusions. 1. A system of management of buildings of a residential complex is a hierarchical multi-level integrated system, including a subsystem for ensuring integrated security. 2. The terms of reference for the creation of an automated building management system for a residential complex shall be the main document defining the requirements and procedure for creating an automated system. 3. The result of the creation of an automated building management system of a residential complex on the basis of the proposed version of the standard terms of reference is the formation of a single digital ecosystem of the residential complex, combining the engineering and technical infrastructure of the facility with the information systems and business processes of the management company to ensure centralized management of the residential complex within the framework of integrated interfaces Automated building management systems for a residential complex. Keywords: residential complex; automated building management system; digitalization; typical terms of reference.

The article presents the results of the analysis of the characteristics of heat exchangers methods for determining their mathematical models. The necessity of the availability of the mathematical model during the synthesis of automatic control systems with desired properties. The method of identification of the thermal control object by the testing control action is proposed. Since technological control objects always be an energy of interaction the energy efficiency criterion applied for automatic formation of the control action. Also the analytical self-adjusting system with a reference model in the form of an integrating link was applied. From the analytical researches it follows that the movement of the system along the optimal trajectory occurs at a constant speed and does not depend on the properties of the control object, and the optimal control depends on the properties of the control object, time, and technological requirements. It is shown that mathematical models of heat exchangers of the first and second orders are determined quite simply. The accuracy of the mathematical model parameters is limited only by the accuracy of the experimental data. The quality of control systems with desired properties, synthesized by experimental, and accurate models are virtually indistinguishable.

This work is proposed to continue the discussion of the problems, theoretical foundations and practical features of the construction and synthesis of robust control systems with high gain, allowing us to control multidimensional nonlinear dynamic objects of high dimensional with functional uncertainties. If problems could not be solved at the level where they appeared, it is necessary to rise the level of understanding of the laws of nature, or in the words of master Lui-Shi Chun Qiu (China, 3rd century BC): "The boy of five chi growth leads the bull by the bridle and the bull obeys him in everything. This is because the person in this case follows naturalness" (the laws of nature). The judo philosophy ("soft way") is based on the principles of using the power and energy of the opponent to achieve victory. The purpose of this work is to demonstrate the theoretical aspects and practical features of the methods of synthesis of optimal control systems by the criterion of maximum reproduction accuracy using the example of robust systems, which allow to control dynamic objects with functional uncertainties, including unstable objects, no minimal-phase objects, neutral objects and objects with differentiation properties. The simplicity (at the level of the engineer) and universality, mathematical rigor and physical validity of this approach is based on the judo philosophy: suppressing the dynamics of a functionally uncertain object and external disturbances by the infinitely large gain with the finite control signal and at the same time maintaining sustainability. Theoretically exhaustive solution of the problem of robust control is given by the idea of constructing systems that are stable with an unlimited increase of the gain coefficient. The sustainability properties are valid for optimal systems that were synthesized using quadratic quality functionals that do not explicitly depend on the control signal, and using a restriction on the control signal. It is significant that in contrast to continuous systems with un-measurable disturbances and not well known control object (in which the conditions of invariance imply the use of infinitely large gain), in relay (discontinuous) systems the equivalent effect is achieved with the help of finite control signal. A nice bonus is the highest accuracy which leads to mathematically zero error of regulation, thus all error coefficients (of position, speed, acceleration, acceleration derivative, etc.) is also equal to zero in the presence of external and internal interferences. In fact, the optimal accuracy control system is equivalent to a system with astatism of the n-th order: the regulator contains n serial connected integrators.

The synthesis of control systems for overall processes remains a challenge. Whilst a number of automated approaches have been explored academically, in practice systems are mainly synthesised using experience and intuition in conjunction with dynamic simulation software. An approach is presented in this paper for the systematic synthesis of overall process control systems which is simple, practical and appropriate for use at the undergraduate teaching level. Many potential problems can be identified and avoided in the synthesis of process control systems by ensuring that the control system can maintain a steady-state control of the overall mass, the mass of the individual components and, where necessary, multiple phases. Processes with recycles are vulnerable to process control problems when the overall mass balance of the system containing the recycle is not correctly managed. This can be overcome by self-regulation (perhaps involving process design changes) or by changing the structure of the control system. Achieving and maintaining the material balance are the main purposes of the majority of controllers in most chemical processes. Without robust delivery of material balance control, higher level control objectives (such as quality controls) are unlikely to be met reliably. This paper presents a step-wise approach to the synthesis of overall process control systems that avoids many potential problems by identifying which process parameters can be manipulated to achieve the intended process mass balance and designing the control structure accordingly.

Computer-aided control system design (CACSD) encompasses a broad range of methods, tools, and technologies for system modelling, control system synthesis and tuning, dynamic system analysis and simulation, as well as validation and verification. The domain of CACSD enlarged progressively over decades from simple collections of algorithms and programs for control system analysis and synthesis to comprehensive tool sets and user-friendly environments supporting all aspects of developing and deploying advanced control systems in various application fields. This entry gives a brief introduction to CACSD and reviews the evolution of key concepts and technologies underlying the CACSD domain. Several cornerstone achievements in developing reliable numerical algorithms; implementing robust numerical software; and developing sophisticated integrated modelling, simulation, and design environments are highlighted.

The article discusses a mathematical model of wind, taking into account its stochastic component and wind of a steady direction, presents the results of a comparative analysis of the effect of wind parameters on the total wind velocity vector acting on unmanned aerial vehicles (UAV). The main non-line arities of the autopilot servo elements and their influence on the output signal are considered. The reaction of the contour of the UAV flight altitude stabilization to the wind is considered, taking into account the nonlinearity of the servo drive elements. Proved the need to take into account the wind in the synthesis of automatic control systems (ACS) and the contours of the angular stabilization of the drone at stages where the flight speed of the drone is less than 30 m / s.

The role of sensitivity analysis in engineering problems

Analysis and Synthesis of Automatic Control Systems with Controlled Converters

Synthesis of Automatic Control System by means of Compensation Formulas

A LAN-cable was considered as an object of research. A mathematical description of the mutual influence on the far and near ends in symmetrical communication cables is presented. Its assumed that the tightening of the tolerance for the diameter of the insulated core will ensure the guaranteed achievement of the required quality indicators of the symmetrical communication cable. An algorithm for calculating the mutual influence between two and four circuit is given. A mathematical description was obtained and a simulation model of the mutual influence on the near and far ends was constructed for two twisted pairs, taking into account the length of the chain and the frequency of the transmitted signal. Computer studies were performed when the diameters of isolated LAN-cable cores were varied, taking into account its length, the mutual influence on the near end of the coefficients of the capacitive coupling, and transient attenuation on the near end. The obtained results confirmed the hypothesis and are the basis for the synthesis of automatic control systems for the LAN-cable manufacturing process.

The object of this study is a mathematical model of a synchronous electric motor, obtained on the basis of experimental data, which takes into account the temperature mode and uses artificial features to increase the accuracy of its operation. A characteristic feature of this work is that the model takes into account the temperature mode as a component of the technical-operational state of the object. The resulting mathematical model could make it possible to synthesize an optimal automatic control system in terms of the operational state of the object. The problem addressed was to increase the accuracy of the identified mathematical models by applying the approach of feature engineering. The results showed that the identification of mathematical models by the initial data leads to a low level of accuracy of the obtained models, namely 65–70 % for the first output channel, 80–85 % for the second, and 75–80 % for the third, fourth, and fifth output channels. Accordingly, building models with a higher threshold of accuracy requires the use of other, more significant data for identification. This paper reports a method for reformatting the original data into artificial features and provides results of their effectiveness in relation to the original channels. The resulting artificial features and the original features were used for further identification; the resulting mathematical model has on average higher accuracy thresholds, namely 82 %, 93 %, 88 %, 85 % for the corresponding output channels. The results prove the effectiveness of applying the principle of feature engineering since the accuracy of the resulting model is 5–10 % higher compared to the baseline. The scope of practical application of the results includes the synthesis of automatic control systems based on mathematical models of control objects obtained as a result of identification.