Title :
Robust stabilization for continuous-time systems with slowly time-varying uncertain real parameters
Author :
Haddad, Wassim M. ; Kapila, Vikram
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
7/1/1998 12:00:00 AM
Abstract :
The authors construct a class of parameter-dependent Lyapunov functions to guarantee robust stability in the presence of time-varying rate restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalize the multivariable Popov criterion are also considered. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters
Keywords :
Lyapunov methods; Popov criterion; absolute stability; continuous time systems; robust control; time-varying systems; uncertain systems; continuous-time systems; controller synthesis; multivariable Popov criterion; parameter-dependent Lyapunov functions; robust stability; robust stabilization; slowly time-varying uncertain real parameters; time-varying nonlinear uncertainty; time-varying rate restricted plant uncertainty; Kalman filters; Lyapunov method; Noise measurement; Noise reduction; Riccati equations; Robust stability; Robustness; State estimation; Time varying systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
