Abstract
This paper investigates the output constraint problem for switched uncertain nonlinear systems with unknown dead-zone input. The system output is constrained by a time-varying bound, and the time-varying Barrier Lyapunov Function (BLF) is employed to guarantee that the constraint condition is not violated. The parameter of considered dead-zone is unknown but bounded. In order to remove the effectiveness caused by dead-zone, an adaptive scheme is used to adjust the bound of the unknown parameter. In addition, the unknown system dynamic is taken into account, which is modeled by using fuzzy logic systems (FLSs). Combing the backstepping technique, an adaptive controller is constructed such that all the signals in the closed-loop system are bounded under arbitrary switching signal, and the system out can track the reference signal as soon as possible. Moreover, the constraint condition for system output is ensured. Finally, an example is employed to explain the effectiveness of the proposed method.
Highlights
In many practical systems, due to the security or actual requirements, some quantities of systems are limited by certain constraints
In [18], an adaptive fuzzy output feedback decentralized control strategy is proposed for interconnected non-strict feedback nonlinear systems with the output being constrained by a constant
According to the above analysis, this paper studies the problem of time-varying output constraint of switched nonlinear system with unknown dynamics and dead-zone
Summary
Due to the security or actual requirements, some quantities of systems are limited by certain constraints. L. Tang et al.: Time-Varying Tan-Type BLF-Based Adaptive Fuzzy Control for Switched Systems in [28] for switched nonlinear lower-triangular plants to solve the problem of ‘‘explosion of complexity’’. Tang et al.: Time-Varying Tan-Type BLF-Based Adaptive Fuzzy Control for Switched Systems in [28] for switched nonlinear lower-triangular plants to solve the problem of ‘‘explosion of complexity’’ Few of these results considers the existence of nonlinear input. According to the above analysis, this paper studies the problem of time-varying output constraint of switched nonlinear system with unknown dynamics and dead-zone. The fuzzy logic systems (FLSs) are used to approximate the unknown dynamics of the considered system, and the adaptive method is employed to deal with the dead zone with unknown parameters. For a given matrix A (or vector v), AT (or vT ) stands for its transpose. k is a compact set. | · | denotes the absolute value
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