Title : 
Analytic comparison of nonlinear H∞-norm bounding techniques for low order systems with saturation
         
        
        
            Author_Institution : 
Dept. of Eng., Cambridge Univ., UK
         
        
        
        
        
            Abstract : 
In this paper, we will compare differing nonlinear H∞  analysis techniques for linear systems with saturation nonlinearities, as applied to low order examples. The examples effectively show the inter-relationship of stability and the behaviour of the induced norm and incremental gain, and the necessity of using bounded input sets. Finally, the state feedback synthesis problem receives preliminary attention
         
        
            Keywords : 
H∞ control; nonlinear control systems; stability; incremental gain; induced norm; low-order systems; nonlinear H∞-norm bounding techniques; saturation nonlinearities; stability; state feedback synthesis; Linear matrix inequalities; Nonlinear equations; Signal analysis; State-space methods; Transfer functions;
         
        
        
        
            Conference_Titel : 
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
         
        
        
            Print_ISBN : 
0-7803-2685-7
         
        
        
            DOI : 
10.1109/CDC.1995.479112