DESIGN OF HYBRID CONTROL SYSTEM FOR NONAFFINE OBJECTS

In the theory of automatic control, an urgent problem is development design methods bynonaffine control systems. such systems, affects input plant nonlinearly, so itaffects state variables non-additively. The purpose this article to develop a method thatensures stability zero equilibrium position closed system in certain area.The object described by nonlinear differential equations with one considered.A restriction introduced, consisting differentiability right part equationsfor all variables. task designing form function reference signal, avector and values at previous points time set. This solved usinga quasilinear model plant. description allows you preserve featuresof without simplifying them. model, matrices vectors arefunctions performed using algebraicpolynomial matrix method. find when condition theplant are met inequalities. presents expressions for calculating controlaccording polynomial Based on given coefficients desired polynomial,as result solving algebraic equations, found that controland At same time, fulfillment controllability guarantees theexistence solution specified system. An expression has been calculatingthe found. also finds possibility ofproviding non-zero value output controlled quantity Hurwitz steadystatemode. Under condition, static error setting effect can be provided.Further, transformation obtained continuous into discrete proposed, whichis implemented digital computer. provides numerical example designof second-order results modeling nonaffine system.The confirms theoretical obtained. Thus, proposed approach makes it possibleto stable systems objects matrixmethod sufficiently small sampling periods modules theroots characteristic its model.