Guaranteed const control of continuous-time nonlinear system with parametric uncertainties. (Chinese. English summary) Zbl 1133.93343
Summary: Against the guaranteed cost control problem for a continuous-time nonlinear system in the presence of parametric uncertainties, the Takagi-Sugeno (T-S) fuzzy model was adopted for fuzzy modeling of the system. According to Lyapunov stability theory, the scheme of decentralized PDC (Parallel Distributed Compensation) fuzzy control was designed via LMI method, and apart fro the above, the sufficient condition that ensures guaranteed cost control of nonlinear system was proposed.
MSC:
93C41 | Control/observation systems with incomplete information |
93C42 | Fuzzy control/observation systems |
93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
93C10 | Nonlinear systems in control theory |