Pysarenko A. Vektor-matrix models of control devices of multidimensional control systems

Thesis for a candidate degree in technical sciences, specialty 05.13.03 - systems and processes of control. - National Technical University of Ukraine "Kyiv Polytechnic Institute", Kyiv, 2011. The thesis devoted to the synthesis of the vector-matrix models of control devices of multi-dimensional objects, including use of analytical expressions for the structure and parameters of continuous and digital control devices to provide the specified quality and precision. In this paper we analyzed the methods of synthesis of multidimensional control systems, given their significant limitations, disadvantages and ways to overcome them. We've obtained analytical expressions for the structure and parameters of a multi-dimensional autonomous, multi-loop by their states and multi-loop at all control systems with the specified quality indexes for continues and discrete classes of systems. In addition to providing the specified precision requirements of the system with respect to step input actions, proposed solutions in the case of linear signals. Method of multidimentional linear structuring (mLIST) for the synthesis of the vector-matrix models of control devices of multidimensional objects with non-measurable state vector given in continuous and discrete form of state-space models is proposed. A software product as toolbox of MATLAB/Simulink, which allows to generate the program of control device functioning on Verilog language for rapid prototyping tool FPGA is developed. Prototype disadvantages of functioning detection approaches are generalized by including co-simulation methodology in rapid prototyping technology. The experimental part of the work includes the simulation of control systems using MATLAB/Simulink, as well as research facility, which includes the control device prototypes on FPGA board, and the MATLAB/Simulink model of controlled objects. Results of experimental studies confirm the validity of the theoretical results. Keywords: multidimensional, multi-loop, automatic control, rapid prototyping, co-simulation, programmable logic integrated circuits.