Seminar Details
2014-09-25 (14.00) : Regional Input-to-State Stabilization of Discrete-Time Nonlinear Quadratic Systems
At Euler building (A002)
Organized by Mathematical Engineering
Speaker :
Carlos E. de Souza (LNCC/MCTI, Petropolis, Brazil)
Abstract :
This talk deals with the design of feedback controllers for discrete-time nonlinear quadratic systems subject to persistent magnitude bounded disturbances. The class of quadratic systems, namely dynamic systems with a state-space model with quadratic nonlinearity in the state variables and bilinear terms in the state and control signal, can represent a large number of processes arising in several fields. We present a methodology based on convex optimization for designing static nonlinear state feedback controllers that achieve local input-to-state stability with a guaranteed bounding set for the system state trajectory under nonzero initial conditions and magnitude bounded disturbances. The proposed controller design isin terms of numerically tractable linear matrix inequality problem.