Title :
Robustness analysis and synthesis for uncertain nonlinear systems
Author :
Lu, Wei-Min ; Doyle, John C.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The stability and performance robustness analysis for a class of uncertain nonlinear systems with bounded structured uncertainties are characterized in terms of various types of nonlinear matrix inequalities (NLMIs). As in the linear case, scalings or multipliers are used to find Lyapunov functions that give sufficient conditions, and the resulting NLMIs yield convex feasibility problem. For these problems, robustness analysis is essentially no harder than stability analysis of the system with no uncertainty. Sufficient conditions for the solvability of related robust synthesis problems are developed in terms of NLMIs as well
Keywords :
Lyapunov methods; control system analysis; control system synthesis; matrix algebra; nonlinear control systems; robust control; uncertain systems; Lyapunov functions; bounded structured uncertainties; convex feasibility problem; nonlinear matrix inequalities; performance robustness analysis; stability robustness analysis; uncertain nonlinear system synthesis; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Performance analysis; Robust control; Robust stability; Robustness; Stability analysis; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410855
