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Niu, Ben; Zhao, Xudong; Fan, Xiaodong; Cheng, Yi

A new control method for state-constrained nonlinear switched systems with application to chemical process. (English) Zbl 1337.93040

Int. J. Control 88, No. 9, 1693-1701 (2015).
Summary: This paper presents a new control method for a class of nonlinear switched systems in strict feedback form with a state constraint. In the proposed approach, a nonlinear mapping is first introduced to transform the problem of controlling the switched system with state constraint to a new problem of regulating the transformed system without a constraint. By using the backstepping technique, the designed state-feedback controller ensures that the corresponding closed-loop system is asymptotically stable without violation of the constraint, and that all closed-loop signals keep bounded. Furthermore, we explore the use of a coordinate transformation to deal with an asymmetric state constraint as a generalized approach. In the end, an application example on a chemical process is shown to demonstrate the efficacy of the obtained results.

Cited in 42 Documents

MSC:

93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C10 Nonlinear systems in control theory
93B52 Feedback control
93C95 Application models in control theory

Keywords:

switched nonlinear systems; nonlinear mapping; state constraint; backstepping
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