Stabilization of jump linear gaussian systems without mode observations
Stabilization of jump linear gaussian systems without mode observations
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DOI：
10.1080/00207179608921647
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发表时间：
1996-07
影响因子：
2.1
通讯作者：
G. Pan;Y. Bar-Shalom
中科院分区：
文献类型：
--
作者：
G. Pan;Y. Bar-Shalom
系统，例如那些遭受突然变化（包括故障）或具有不确定动态模型（或多个可能模型）的系统，可以自然地建模为跳跃线性（JL）系统。 JL系统因其在跟踪、容错控制、制造过程和机器人等领域的应用而受到广泛关注。 JL 系统的最优控制和稳定问题，当不假设模式（系统模型）被直接且完美地观察时（许多应用中的现实假设），由于双重效应，在分析和计算上都是非线性的且令人望而却步。这项工作的主要贡献是在不直接观察模式时为一类自适应控制器提供稳定的充分条件。我们首先在某种模式可用性的假设下提出最优控制器。使用这种最佳反馈增益，我们得出了一个条件，可确保一类自适应控制的稳定性...
Systems, such as those subject to abrupt changes (including failure) or those with uncertain dynamic model (or more than one possible model), can be naturally modelled as jump linear (JL) systems. Because of their applications in fields such as tracking, fault-tolerant control, manufacturing process and robots, JL systems have drawn extensive attention. The optimal control and stabilization problem for JL systems, when the mode (system model) is not assumed to be directly and perfectly observed, a realistic assumption in many applications, is nonlinear and prohibitive both analytically and computationally because of the dual effect. The main contribution of this work is the sufficient condition for stabilization for a class of adaptive controllers when the mode is not directly observed. We first present the optimal controller under an assumption of a certain type of mode availability. Using this optimal feedback gain, we derive a condition that ensures the stabilizing property for a class of adaptive cont...