Title : 
Tracking in the presence of a time-varying uncertain gain
         
        
            Author : 
Vale, Julie R. ; Miller, Daniel E.
         
        
            Author_Institution : 
Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON
         
        
        
        
        
        
            Abstract : 
In this paper we consider the use of linear periodic controllers to solve a tracking problem in the face of time-varying multiplicative gain uncertainty. The class of signals to be tracked is modelled by a (stable) filter on the reference input.We show, under the technical assumption that the relative degree of the filter is greater than the plant, that there exists a linear periodic controller which can provide near-optimal linear time-invariant performance for every admissible gain.
         
        
            Keywords : 
control nonlinearities; linear systems; low-pass filters; periodic control; time-varying systems; tracking; linear periodic controllers; stable filter; time-varying multiplicative gain uncertainty; Feedback; Filters; Linear predictive coding; Performance gain; Size control; Size measurement; Stability; Switches; Uncertainty; Underwater tracking;
         
        
        
        
            Conference_Titel : 
Communication, Control, and Computing, 2008 46th Annual Allerton Conference on
         
        
            Conference_Location : 
Urbana-Champaign, IL
         
        
            Print_ISBN : 
978-1-4244-2925-7
         
        
            Electronic_ISBN : 
978-1-4244-2926-4
         
        
        
            DOI : 
10.1109/ALLERTON.2008.4797591