  This paper develops a dissipativity-based framework for synthesis of
stabilizing controllers for discrete-time nonlinear systems subject to state
and input constraints. Firstly, we introduce the concept of a control
dissipative function as a tool to control closed systems. Secondly, we prove
that control dissipative functions yield asymptotically stable closed-loop
trajectories if the associated storage function is cyclically negative
definite. Then we formulate the synthesis of stabilizing control laws as the
receding horizon minimization of a control dissipative function. The
effectiveness of stabilizing control based on control dissipative functions is
demonstrated on the problem of stabilization of interconnected synchronous
power generators with nonlinear coupling.
