Finite-time control of linear systems subject to time-varying disturbances. (12th January 2016) - Zhou, Linna
Abstract: This paper considers finite-time control of linear systems subject to time-varying disturbances. The concepts of quasi finite-time stability and quasi finite-time boundedness are defined and a sufficient condition for a linear system with disturbances to be quasi finite-time bounded is derived. It is shown that the notions are more general and the condition is less conservative than the existing ones. A state feedback controller design method is given to solve the finite-time control problem. All the conditions are then reduced to feasibility problems involving linear matrix inequalities and numerical examples are given to illustrate the obtained results.