Abstract
AbstractThe problem of stabilizing constrained nonlinear systems meanwhile optimizing some performances is investigated in this paper. The tool of weak control Lyapunov functions is introduced to construct a tuning Sontag's controller where some adjustable parameters are optimized with respect to given performances in way of receding horizon fashion. Two algorithms are presented and the corresponding closed-loop systems with input constraints are proven to be stable in some regions by using the LaSalle's theorem and weak control Lyapunov functions. Moreover, the inverse optimality result of the controller is achieved. Finally, an open-loop unstable example is given to illustrate the effectiveness of the results obtained here.
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