Abstract

In this thesis, switching control of linear time-invariant systems using generalized sampled-data hold functions (GSHF) is investigated. It is assumed that the plant model belongs to a finite set of known plants. The output of the system is periodically sampled and a control signal is being generated by using a suitable hold function from a set of GSHFs which solve the robust servomechanism problem for the family of plant models and a set of simultaneous stabilizing GSHFs for certain subsets of plant models. It is shown that by using the above sets of hold functions and choosing a proper switching sequence, one can minimize the number of switchings to destabilizing GSHFs. This can significantly improve the transient response of the system, which is one of the common weak points in most switching control schemes. Simulation results show the effectiveness of the proposed method in improving the transient response. It is also desirable to achieve a digital control law that reduces the complexity of online computations