LMI-Based Robust Multivariable Super-Twisting Algorithm Design for a Class of Linear Systems

This paper applies a generalized Multivariable Super-Twisting Algorithm (MSTA) to the control of a class of linear systems subject to exogenous disturbance with time-derivative bounded norm and convex bounded parameter uncertainty. It is shown that the MSTA can stabilize any element of the class under consideration. In addition, robust performance is also addressed through the solution of a convex programming problem expressed by LMIs coupled to a line search procedure. An illustrative example is presented and discussed.