Research Of Optimal Tracking Control Problem For Nonlinear Control Time-Delay Systems

In the actual production and life,nonlinear and delay problems are widespread, And in industry, national defence and biological chemical production process,the existence of the nonlinear and time delay will cause system robustness is very poor, not stable.So as to influence the development of the industry.So the study of nonlinear and time-delay problem is very urgent, and really meaningful.The optimal tracking problem research of linear, nonlinear, time-delay systems at home and abroad are reviewed in this paper. Study of linear systems with control delay and state time delay of the optimal tracking problem, using the method of successive approximation to the original optimal tracking problem is transformed into gens contains no time delay or ahead of a sequence of nonhomogeneous linear two-point boundary value problems, and then based on the sequence of finite iteration solution, get the optimal output tracking control problem of an approximate solution.Study the control of time-delay system with disturbances of the optimal output tracking control, we introduced the reference input signal system and the outside disturbance system. After the feed-forward control law is obtained by tectonic feed-forward control law and the coefficient matrix, so that we can through the matrix equation and the control law.For a class containing nonlinear systems with control delay quadratic optimal tracking control problem, according to the principle of maximum resulted in a contains both time lead items and time delay of nonlinear two-point boundary value problems, we successive approximation method is used to transform it into a contains no time delay and contains no lead of nonhomogeneous linear two-point boundary value problem sequence, the system is obtained by iteration method of vector differential equation of the suboptimal control law.