【摘要】 利用微分方程对称以及其与无穷小生成元的关系,针对几种不同控制目标要求的一类热传导分布参数系统,研究了边界控制问题,设计出不同的边界控制律,分别实现了定点等速升温控制、定点稳态温度控制、边界稳态温度控制。对不同控制目标设计的控制律均进行了仿真验证,结果表明了控制条件的有效性。更多还原

【Abstract】 Boundary control of a class of heat transfer distributed parameter systems is studied by the symmetry of differential equations and relationsship between symmetry and infinitesimal generator for satisfying different control objectives.The boundary control laws are designed to realize constant heating rate control at fixed point,steady-state temperature control at fixed point,and boundary steady-state temperature control for the heat transfer distributed parameter systems.The simulations for the controlled heat transfer distributed parameter system are illustrated the effectiveness of the control laws for the different control objectives.更多还原