Adaptive Finite‐Time Control for Switched Nonlinearly Parameterized Systems With Asymptotic Tracking

ABSTRACT This article addresses finite‐time output tracking control problem for a class of switched nonlinearly parameterized systems, even if the finite‐time output tracking control problem for subsystems are not solvable. Based on multiple Lyapunov functions (MLFs) method, the parameter separation technique is adopted to design adaptive controllers and a switching law dependent on states constructively to guarantee all the signals of the resulting closed‐loop system remain bounded and the tracking errors converges a small neighborhood of zero in finite time. Then, the Barbalat lemma is used to prove that the tracking error can reach zero as time approaches to infinity. Finally, an example is also provided to demonstrate the effectiveness of the proposed design method.