零状态可探测与非线性系统的镇定

研究零状态可探测性在非线性系统镇定中的作用。运用李雅谱诺夫稳定原理，证明了以光滑正定适定函数为库函数的无源系统，通过输出负反馈可镇定当且仅当其零状态可探测；运用零状态可探测性到一类从驱动联级系统的镇定，提出了较弱的充分条件，仅要求从动系统的非受控动态临界稳定而不必全局渐近稳定；为了镇定设计需要给出了无源系统零状态可探测的两个几何判据。中举例说明了所得结果的实用性。

Zero-State-Detectability and Stabilization of Nonlinear Systems

Byrnes et al employed the concept of zero-state-observability . We deem that the less stringent concept of zero-state-detectabilty is more convenient for studying the stabilization of nonlinear system. Two geometric criteria for zero-state-detectability of the passive system with a smooth positive definite proper storage function, lemmas 2 and 3, are proved in subsection 1.2; these two lemmas are needed in stabilization design. We prove theorem 1 in subsection 2.1; theorem 1 is needed for stabilizing passive system. We prove theorem 2 in subsection 2.2; theorem 2 is needed for stabilizing a cascaded system, which, in turn, consists of a driven subsystem and a driving subsystem. In subsection 2.2,we prove a sufficient condition that requires the unforced dynamics of the driven subsystem to be only critically stable instead of global asymptotic stable. We emphasize that this sufficient condition is relatively weaker than that required by references and . Three examples are given to illustrate the application of our method.