Sliding mode control for polytopic differential inclusion systems
The stabilization problem of polytopic differential inclusion (PDI) systems is investigated by using sliding mode control. Sliding surface is designed and sufficient conditions for asymptotic stability of sliding mode dynamics are derived. A novel feedback law is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the validity of the proposed design. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
sliding mode control polytopic differential inclusion systems asymptotic stability