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Composite nonlinear feedback control for linear singular systems with input saturation. (English) Zbl 1226.93070

Summary: This paper investigates the Composite Nonlinear Feedback (CNF) control technique for linear singular systems with input saturation. First, a linear feedback control law is designed for the step tracking control problem of linear singular systems subject to input saturation. Then, based on this linear feedback gain, a CNF control law is constructed to improve the transient performance of the closed-loop system. By introducing a generalized Lyapunov equation, this paper develops a design procedure for constructing the CNF control law for linear singular systems with input saturation. After decomposing the closed-loop system into a fast subsystem and a slow subsystem, it can be shown that the nonlinear part of the CNF control law only relies on slow subsystem. The improvement of transient performance by the proposed design method is demonstrated by an illustrative example.

MSC:

93B52 Feedback control
93C10 Nonlinear systems in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
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