An approach to integral input-to-state stabilization via satisficing strategy

Integral input-to-state stability (iISS) of a class of nonlinear systems is investigated via satisficing decision theory in this paper. In particular, based on a new concept of control Lyapunov function (ilSS-CLF), a satisficing complete parameterization design of integral input-to-state stabilizing control laws that achieve iISS disturbance attenuation is discussed. A large family of the designed control laws has certain robustness to input disturbances and under some assumption can solve an inverse optimal gain assignment problem. The same method can also apply to the problem of integral input-output-to-state stabilization.