Discussion on: 'Suboptimal switching control consistency analysis for discrete-time switched linear systems'

摘要

The past 20 years has seen a huge number of papers produced in the area of switched and hybrid systems. The principal focus of these papers has been to produce conditions under which stability can be guaranteed, either in the case of arbitrary switching, or in the case of constrained switching, where one constrains the switching through state constraints, or through limits on the rate of switching. Some important topics have, however, rather disappointingly, been the subject of far less study. These include the discretization of switched systems, the design of systems where constraints are fixed rather than a design variable, and the design of switched systems with performance guarantees (to name but a few). A major contribution of the paper under discussion is that it falls into the latter category, and provides results that are likely to be of interest, not only to the academic community, but also to practicing engineers.