Output Regulation with Prescribed Performance Control of Switched Strict-feedback Systems

In this work, we establish a complete procedure for the output regulation problem with prescribed performance for a class of switched strict-feedback systems by employing barrier Lyapunov function and speed function method. Under the framework of output regulation control for general switched nonlinear systems, a switched regulator equation is constructed. Compared to the existing works which require the solvability of output regulation for each subsystem, the designed switched regulator equation based method need not each subsystem has a solution to the problem, which releases the conservatism. Moreover, the state feedback control scheme based on speed function technique and a new state dependent switching rule are constructed to achieve that the error output keeps in a prescribed performance bound in a given finite time and tracks a desired trajectory asymptotically. The effectiveness of the results is demonstrated by a simulation example.