Stabilizing optimal control of bilinear systems with a generalized cost
Stabilizing optimal control of bilinear systems with a generalized cost
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DOI：
10.1002/oca.4660050204
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发表时间：
1984-04
影响因子：
1.8
通讯作者：
S. Tzafestas;K. Anagnostou;T. Pimenides
中科院分区：
文献类型：
--
作者：
S. Tzafestas;K. Anagnostou;T. Pimenides
针对一类重要的具有广义二次型代价函数的双线性系统，给出了镇定和优化反馈控制策略。这些策略以及由此产生的最优成本在状态下是二次的。对于双线性系统，最优代价函数是Lyapunov函数。由此得到的最优和稳定的闭环系统是关于状态的三阶。文中还包括了一个说明性的例子。
Stabilizing and optimizing feedback control policies are derived for the important class of bilinear systems with generalized quadratric cost functions. These policies as well as the resulting optimal costs are quadratic in the state. The optimal cost function is shown to be a Lyapunov function for the bilinear system at hand. The resulting optimal and stabilized closed-loop system is of third order with respect to the state. One illustrative example is included.