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本文提出了一类实现控制系统最优调节的新方法——参数最优化的罚函数法。此法的思路原则是:以李雅普诺夫函数和广义二次型性能指标间的关系式作为目标函数,以卡尔曼(Kalman)的频域最优化准则的矩阵主导和形式作为极限约束,利用罚函数原理,来解决控制系统的参数最优化问题。此法用於解决结构已知、参数未定的一类动态系统的优化设计问题,其特点是适应性广和动态品质优良,经实例试验表明:用此法设计的动态参数构成的系统不需任何调整,一气呵成,动态性能与理论分析完全一致,且性能优良。此外,还提供一套专用数字解题和仿真程序备查。
This paper presents a new method to achieve optimal control of the control system - parameter optimization penalty function method. The idea of this method is that the relationship between Lyapunov function and generalized quadratic performance index is taken as the objective function and Kalman’s matrix predominance and form of frequency domain optimization criterion is used as the limit constraint. Function principle to solve the parameter optimization of control system. This method is used to solve the optimization design problem of a kind of dynamic system with known structure and uncertain parameters. It is characterized by wide adaptability and good dynamic quality. The experimental results show that the dynamic parameters designed by this method do not need any Adjustment, one go, dynamic performance and theoretical analysis exactly the same, and excellent performance. In addition, a dedicated set of digital solutions and simulation programs are provided for future reference.