Controller Design for Constrained Discrete-Time Uncertain Linear Systems Using Implicit Functions
Résumé
This letter shows a controller design procedure for constrained discrete-time uncertain linearcsystems, where the control law and piece-wise functionscimplicitly defined by ramps give the associated invariant set and Lyapunov function. This structure enables non symmetric invariant sets of larger sizes than other structures, yielding symmetric invariant sets. The procedure is iterative, and each iteration solves a semi-definite program. A simulation example illustrates the attributes of the proposed design procedure.