Comparison of the Methods of Classical and Synergetic Theories of Control of the Movement Autonomous Underwater Machine

Abstract

The article deals with the problem of nonlinear synthesis of the laws of motion control of an autonomous underwater vehicle (APA) in the vertical plane. The tasks of the synthesis are the output of the underwater vehicle to a predetermined depth at a given speed. Based on the non-linear mathematical model of the APA, the control laws are synthesized by two different approaches: using the classical automatic control theory method, the proportional-integral-differential controller (PID controller), and using the synergetic control theory, the analytical design method for aggregated regulators (ADAR). Classical methods of the theory of automatic control assume a linear or linearized mathematical description of controlled processes and scalar control, which cannot but affect the adequacy of the mathematical description of processes and the efficiency of the developed algorithms. Such structures are ineffective because they do not allow to obtain the necessary stability margin of the system and are approximate. In addition, the scalar control principle often limits the ability to effectively influence the system, ignoring potential control channels. The vector control principle used in the work allows to more effectively influence the system through various control channels. The assumed laws of synergetic control endow the object in question with properties of asymptotic stability in the entire admissible region of change of state variables.The results of computer simulation of the APA motion, which confirm the achievement of control goals, are considered.