Tracking-Constrained Adaptive Control for Switched Stochastic Nonlinear Systems With Dead Zone Output

Abstract

This paper develops a predefined-tracking-constrained-based adaptive control scheme for a class of switched stochastic nonlinear systems in the pure-feedback form with dead zone output. By combining the backstepping-based adaptive fuzzy control with Nussbaum-type function, the control design and the stability analysis are derived. By employing the stochastic Barrier Lyapunov functions, the semiglobally uniformly ultimately boundedness of all the closed-loop signals with the convergence of the output tracking error is ensured; meanwhile, the tracking error constraint is also ensured. Finally, a simulation example is presented to verify the effectiveness of the theoretic results obtained.

Keywords

• Switched stochastic systems
• dead zone output
• tracking constraint
• pure-feedback systems
• fuzzy logic systems (FLSs)