Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
Automation and Remote Control
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
A methodology for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations is proposed. It is considered that the control signal is applied through a first-order low-pass filter. The technique is based on the existence of an attracting (invariant) ellipsoid such that the convergence to a quasi-minimal region of the origin using the suboptimal control signal is guaranteed. The design procedure is given in terms of the solution of a set of Matrix Inequalities. A benchmark example illustrating the design is given.