ADAPTIVE CONTROL WITH ADVANCED ERROR SYSTEMS WITH ENTRANCE LAG

Abstract

With the problem of control of systems with input lag, developers are faced in various engineering applications, such as transport and communication systems, chemical processes, energy systems. The presence of a delay in the mathematical description of objects has a significant impact on the stability and quality of control processes. In this regard, the development of new methods and algorithms for controlling such systems is urgent. Whichever method this control problem is solved, for its effective solution, an explicit or implicit forecast of the object's output for the time delay in the control channel is required. In most real systems, there is an uncertainty in the mathematical description of an object, which leads to anticipation of an undefined object by adaptive methods. There are two main approaches used in the synthesis of control systems under conditions of uncertainty, robust and adaptive. The problem of control of systems with delay under uncertainty has been solved by many authors in the class of robust [1] and adaptive systems [2]. Most of the proposed solutions for the synthesis of algorithms for adaptive control of such systems were based on the use of distributed delay blocks [3, 4], which are technically difficult to implement. In this paper, to control systems one input one output with an input delay, we propose a new structure of the control device with a model lead [5, 6, 7], using a filtering scheme of minimal complexity [8]. Note that the resulting adaptive control structure contains only blocks with lumped delay, which simplifies the practical application of such systems.