Robust H∞ state-feedback control for linear systems. (12th April 2017)

• Record Type: Journal Article
• Authors: Chen, Hao; Zhang, Zhenzhen; Wang, Huazhang
• Is Part Of: Proceedings. Volume 473:Number 2200(2017)
• Publication Date: 2017-04-12
• Subjects: convex combination -- disturbance load -- geometric sequence division -- robust H∞ control; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2016.0934
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : This paper investigates the problem of robust H ∞ control for linear systems. First, the state-feedback closed-loop control algorithm is designed. Second, by employing the geometric progression theory, a modified augmented Lyapunov–Krasovskii functional (LKF) with the geometric integral interval is established. Then, parameter uncertainties and the derivative of the delay are flexibly described by introducing the convex combination skill. This technique can eliminate the unnecessary enlargement of the LKF derivative estimation, which gives less conservatism. In addition, the designed controller can ensure that the linear systems are globally asymptotically stable with a guaranteed H ∞ performance in the presence of a disturbance input and parameter uncertainties. A liquid monopropellant rocket motor with a pressure feeding system is evaluated in a simulation example. It shows that this proposed state-feedback control approach achieves the expected results for linear systems in the sense of the prescribed H ∞ performance.