2016/06/24 by Masoud Abbaszadeh, Abbaszadeh, Masoud, Horacio J. Marquez +1
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #B.5.1 #C.3 #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #H.3.3 #I.4.3 #J.7 #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1606.07858
openalex publication_date 2016/06/24 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
This work addresses the design of static output feedback control of\ndiscrete-time nonlinear systems satisfying a local Lipschitz continuity\ncondition with time-varying uncertainties. The controller has also a guaranteed\ndisturbance attenuation level (Hinfty performance). Thanks to the linearity of\nthe proposed LMIs in both the admissible Lipschitz constant of the system and\nthe disturbance attenuation level, they can be simultaneously optimized through\nconvex multiobjective optimization. The optimization over Lipschitz constant\nadds an extra important and new feature to the controller, robustness against\nnonlinear uncertainty. The resulting controller is robust against both\nnonlinear additive uncertainty and time-varying parametric uncertainties.\nExplicit norm-wise and element-wise bounds on the tolerable nonlinear\nuncertainty are derived.\n