多变量系统的自适应对偶控制-运筹学与控制论专业论文.docxVIP

摘要 自适应对偶控制是一个十分活跃的研究领域，特别是利用对偶控制可以改善 自适应控制系统的动态性能，这使对偶控制引起了各领域、各学科的研究人员的 高度重视并取得了显著成绩。 本文在简述了自适应控制和对偶控制的发展历史及基本理论后，针对系统在 具有不确定结构的情况下，从随机控制的角度出发，把单变量的自适应对偶控制 扩展到多变量的自适应对偶控制: ·按照极点配置的算法，提出了一种多变量自适应极点配置的对偶控制器， 并对系统进行了稳定性分析。该算法有效地防止了自适应控制系统的关断、终 止和猝发等现象. ·针对MIMO 的 ARMA 系统提出的对偶控制器.在许多情况中，谨慎控制器是 关断的，收敛也很慢，而对偶控制器由分子和分母的修正项修正了谨慎控制的设 计，避免了关断和慢收敛现象。 ·对两种多变量的自适应对偶控制算法进行了比较研究，分析了它们的优缺 占 关键词 自适应控制 对偶控制 极点配置对偶性质 Abstract Adaptive dual control is a very active research field，especially the dynarnic performance of adaptive control system can be improved by using dual control .Therefore dual control has aroused the highly attention of researchers in various fields and su均ects and resulted in notable achievements. After a brief description ofthe history of adaptive control and adaptive dual control and the basic theoretical of adaptive control and dual control，this paper expands adaptive dual control 企om single variable system into multivariant system 仕om the point of view of the stochastic control ，when the system possesses uncertain structure. A dual pole-placement controller with adaptation for multivariable system is presented according to pole-placement algorithm. The stability of the closed-loop system is analyzed in this paper. The phenomena of 气urn off， windup and bursting for adaptive control system are eliminated successfully. An adaptive dual controller is presented for a multiinput multioutput auto regressive moving average system. In many instances，the cautious controller is seen to turn off and the convergence is very slow. The dual controller modifies the cautious control design by nurnerator and denominator correction terms and avoids the turn-off and slow convergence. Comparison of two kinds of multivariant adaptive dual control is also studied， and their properties are pointed out. Keywords: adaptive control dual control pole-placement dual property 创新性声明 本人声明所呈交的论文是我个人在导师指导下遂行的研究工作及取得的研究 成果。尽我所知，除了文中特别加以标注和致谢中所罗列的内容以外，论文中