Exponential stabilisation of nonlinear parameter-varying systems with applications to conversion flight control of a tilt rotor aircraft. Issue 11 (2nd November 2019)

• Record Type: Journal Article
• Authors: Fu, Rong; Sun, Hongfei; Zeng, Jianping
• Is Part Of: International journal of control. Volume 92:Issue 11(2019)
• Page Start: 2473
• Page End: 2483
• Publication Date: 2019-11-02
• Subjects: Nonlinear parameter-varying -- nonlinear time-varying systems -- input constraint -- sum-of-squares -- tilt rotor; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2018.1442022
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: The exponential stabilisation problem of nonlinear parameter-varying (NPV) systems with input constraints is investigated. Unlike the existing NPV-related works, this paper directly addresses NPV models to conduct the stabilisation problem, without hiding nonlinearities or ignoring the time-varying nature. Existence conditions of a nonlinear time-varying (NTV) controller to render the uniformly exponential stability of an NPV system are given in terms of state-and-parameter-dependent linear matrix inequalities (SPLMIs). Specifically, a new controller structure and a novel Lyapunov functional are adopted such that the exact variation rates of the state and parameters can be incorporated into the SPLMIs. The generalised S-procedure is used to convexify the input constraints such that the resulting closed-loop system satisfies input constraints for any state starting from an admissible set. The derived SPLMIs can then be efficiently solved via sum-of-squares programming. The proposed approach is applied to the conversion flight control of a tilt rotor aircraft.