Optimal control of switched system with time delay detection of switching signal
MetadataShow full item record
This paper deals with optimal control problems governed by switched systems with time delay detection of switching signal. We consider the switching sequence as well as the switching instants as decision variables. We present a two-level optimization method to solve it. In the first level, we fix the switching sequence, and introduce a time scaling transformation such that the switching instants are mapped into pre-assigned fixed knot points. Then, the transformed problem becomes a standard optimal parameter selection problem, and hence can be solved by many optimal control techniques and the corresponding optimal control software packages, such as MISER. In the second level, we consider the switching sequence as decision variables. We introduce a discrete filled function method to search for a global optimal switching sequence. Finally, a numerical example is presented to illustrate the efficiency of our method. © 2011 Springer Science+Business Media B.V.
Showing items related by title, author, creator and subject.
Loxton, Ryan Christopher (2010)In this thesis, we develop numerical methods for solving five nonstandard optimal control problems. The main idea of each method is to reformulate the optimal control problem as, or approximate it by, a nonlinear programming ...
Chai, Qinqin (2013)In this thesis, we develop new computational methods for three classes of dynamic optimization problems: (i) A parameter identification problem for a general nonlinear time-delay system; (ii) an optimal control problem ...
Woon, Siew Fang (2009)Optimal control problems arise in many applications, such as in economics, finance, process engineering, and robotics. Some optimal control problems involve a control which takes values from a discrete set. These problems ...