Title :
An LMI approach for stability analysis of nonlinear systems
Author :
Pettersson, Stefan ; Lennartson, Bengt
Author_Institution :
Control Eng. Lab., Chalmers Univ. of Technol., Gothenburg, Sweden
Abstract :
This paper presents a constructive method for showing stability of nonlinear systems consisting of state-dependent weighted linear systems. This kind of system representation is common in for instance fuzzy systems or when local linear models of a nonlinear system are weighted together. Stability is shown by joining multiple local quadratic Lyapunov functions properly in the state space. The stability conditions are formulated as a linear matrix inequality (LMI) problem. Hence, these can be verified efficiently by computerized methods.
Keywords :
Lyapunov methods; control system analysis; linear matrix inequalities; linear systems; nonlinear control systems; stability; LMI approach; linear matrix inequality; nonlinear system; quadratic Lyapunov function; stability analysis; stability condition; state-dependent weighted linear system; system representation; Bismuth; Fuzzy systems; Linear systems; Lyapunov methods; Nonlinear systems; Stability analysis; Switches; Fuzzy systems; Linear Matrix Inequalities (LMIs); Nonlinear systems; Stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
