On semiglobal ISS under small inputs for discrete-time models of sampled-data systems

ALEXIS VALLARELLA; HERNAN HAIMOVICH

Buenos Aires

Congreso; 26 Congreso Argentino de Control Automático; 2018

AADECA

One control design approach for nonlinear continuous-time plants is known as Discrete-Time Design (DTD). This approach is usually based on approximate models given that the exact discrete-time model for a nonlinear plant is difficult or impossible to obtain. In this context, there exist several results that ensure robustness of the discrete-time models with respect to discrete-time disturbances (e.g. such as state-measurement or actuation errors). None of the existing conditions contemplate the case in which the system achieves input-to-state stability when the inputs are smaller than a certain upper bound but may not be defined or become unstable otherwise. We aim to cover this case by providing Lyapunov-based sufficient conditions that ensure input-to-state stability under small inputs, semiglobally with respect to initial conditions for discrete-time models that arise from non-uniform sampling.