文献类型： 会议论文

第一作者： L. Gerard Van Willigenburg

作者： L. Gerard Van Willigenburg ¹ ; Willem L. De Koning ² ;

作者机构： 1.Biomass Refinery & Process Dynamics Group, Wageningen University, P.O. Box 17, 6700 AA Wageningen, The Netherlands

2.Retiredfrom the Department of Mathematics of Delft University of Technology and lives at Kroeskarper 6, Leiden, The Netherlands

关键词： Linear Systems;Time-varying Systems;Optimal Control;Temporal Stability;Temporal Stabilisability;Temporal Detectability

会议名称： International Conference on Advances in Control and Optimization of Dynamical Systems

主办单位：

页码： 368-375

摘要： Motivated by the design of perturbation (output) feedback controllers for non-linear systems, temporal system properties have been developed by the authors, for time-varying linear continuous-time systems. In particular temporal controllability/reachability, temporal stabilisability, temporal reconstructability/observability and temporal detectability. As opposed to their ordinary counterparts, these temporal properties identify the temporal loss of stabilisability and detectability that may occur for time-varying linear continuous-time systems obtained e.g. by linearising around state and control trajectories of a non-linear system. One contribution of this paper is to show that temporal stabilisability and temporal detectability require a measure of state decay that cannot be independent of the state representation and state vector norm. This raises the issue of how to select the state representation or norm. The second contribution of this paper is to deal with this selection. Thirdly this paper presents two new, alternative ways to compute temporal stabilisability and detectability and their associated measures. They are compared with computations proposed earlier that rely on LQ control. Finally, through simple illustrative examples, numerical aspects concerning computation of temporal stabilisability and detectability and their associated measures are investigated.

分类号： tp-532