On adaptive control of a class of switched time-delay systems

This paper investigates robust adaptive control for a class of switched linear systems subject to time-varying delays and parametric uncertainties. Different switched adaptive control designs consisting of a switching law and adaptive laws are respectively proposed for the time-dependent switching case and for the state-dependent switching case. Solutions to multiple-mode differential Riccati equations and to multiple-mode algebraic Riccati equations are exploited to design the adaptive laws for the time-dependent and state-dependent switching settings. In addition, mode-dependent-dwell-time and min-switching strategies are considered to develop the switching laws. With the designed switched adaptive controller, global uniform ultimate boundedness of the switched closed-loop system is guaranteed.