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本文从理论上详细地推导了线性定常系统无限终端时间的次最优调节器的一些理论结果,並简要地说明了次最优调节器与最优线性调节器的一般关系。研究了线性定常输出反馈增益矩阵的数值计算方法,讨论了初始迭代值的选取问题。用BASIC语言编制了求解线性输出反馈增益矩阵和全状态反馈增益矩阵的应用软件並对系统进行了计算机仿真研究。通过和线性最优调节器的对比分析,得到了次最优调节器的可行性和经济性等结论。最后,结合飞机侧向自动稳定装置设计的实例,得到了令人满意的结果。
In this paper, we theoretically deduce some theoretical results of the suboptimal regulator for the infinite terminal time of a linear stationary system and give a brief description of the general relationship between the suboptimal regulator and the optimal linear regulator. The numerical calculation method of linear steady output feedback gain matrix is studied, and the selection of initial iteration value is discussed. The application software of solving the linear output feedback gain matrix and the full state feedback gain matrix was compiled by BASIC language and the computer simulation was carried out. Through the comparison with the linear optimal regulator, the conclusion of the feasibility and economy of the suboptimal regulator is obtained. Finally, the satisfactory results are obtained with the design of aircraft lateral stabilizer.