Estimate The Improvement Of The Corrector Interior Point Algorithm And Its Application In Optimal Control

In production of modem industry, when scale of production is larger, product get rid of the stale and bring forth the fresh and people require product with better quality and better performance, it requires to do whole plan to process of whole production in order to get optimal process of whole production. It needs higher requirement to automation of industry and it requires that automation technology must keep mass production safe, high quality, high effect, low consume. Yet PID control can't solve above questions. So it needs to study and develop more advanced controllers and controlling methods. This article focuses on improvement and simulation for predictor corrector interior point method and design and simulation for a LQ optimal control arithmetic based on improved predictor corrector interior point method (IPCIPM-LQ arithmetic).First, this thesis introduces the research results of numerical methods for optimal control problems and LQ optimal control problem and solutions for quadratic programming problems in recent years at home and abroad, then based on introduction of predictor corrector interior point method put forward by Liangximing et al, does some improvements on it from two aspects: choosing for centering parameterμand arithmetic parameterσ_k, then does large numbers of numerical simulations and show a comparison list of results with numerical experiment for improved predictor corrector interior point method, predictor corrector interior point method and potential reduction interior method. Analysis to simulation results shows that improved predictor corrector interior point method is effective.Afterwards this thesis introduces basic theory of LQ optimal control and sums up step for designing typical LQR controller and general rule for choosing Q and R matrix. Based on it, this text puts forward to IPCIPM-LQ arithmetic and presents its design reason and design method, then shows its step and block diagram and does simulations to four different systems separately by IPCIPM-LQ arithmetic, LQR control method and PID control method. The simulation results show that IPCIPM-LQ arithmetic is effective. At last, this text introduces model of linear double inverted pendulum system and tests that IPCIPM-LQ arithmetic is effective by the inverted pendulum system.