Showing papers by "Xian-Ming Zhang published in 2010"
23 Dec 2010
TL;DR: In this article, the stability of linear systems with interval time-varying delays arising from networked control systems (NCSs) is studied. And a novel delay-dependent stability criterion is derived by combining the generalized Jensen integral inequality and the convex combination technique.
Abstract: This paper is concerned with the stability of linear systems with interval time-varying delays arising from networked control systems (NCSs). The Jensen integral inequality is first generalized into a new inequality to overcome the limitation of applications. Then a novel delay-dependent stability criterion is derived by combining the generalized Jensen integral inequality and the convex combination technique. It is proven theoretically that the stability criterion is less conservative than some existing results, which is confirmed by two numerical examples.
20 citations
01 Dec 2010
TL;DR: A novel inequality for finite-sum equations is first established, where r1 and r2 are integers or integer-valued functions and R is a symmetric definite positive matrix, which results in a novel delay-dependent stability criterion which has been proven theoretically to be less conservative than some existing ones reported in the literature.
Abstract: This paper focuses on the stability analysis of a discrete-time linear system with an interval-like time-varying delay in the state. A novel inequality for finite-sum equations is first established, where r 1 and r 2 are integers or integer-valued functions and R is a symmetric definite positive matrix. One of advantages of this inequality is that the factor r 2 −r 1 appears in the estimation of the finite-sum linearly. The new inequality together with convex combination technique results in a novel delay-dependent stability criterion, which has been proven theoretically to be less conservative than some existing ones reported in the literature. Two numerical examples are given to show the validity of the proposed method.
7 citations
23 Dec 2010
TL;DR: In this article, two sliding mode control schemes are proposed to reduce the oscillation amplitudes of the offshore steel jacket platforms subject to nonlinear wave-induced forces, and a delayed sliding mode controller (DSMC) is designed.
Abstract: This paper is concerned with sliding mode control of offshore steel jacket platforms subject to nonlinear wave-induced forces. Two sliding mode control schemes are proposed to reduce the oscillation amplitudes of the platforms. One scheme is that a conventional sliding mode controller (SMC) is designed, under the SMC the oscillation amplitudes of the platform are effectively reduced; however, a very large control force is required. The other scheme is that by intentionally introducing a time-delay into the control channel, a delayed sliding mode controller (DSMC) is designed. Compared with the SMC, the DSMC improves the control performances in two aspects: (i) the oscillation amplitudes of the first, second and third floors under the control of the DSMC are less than those under the control of the SMC; (ii) the control force required by the DSMC is much less than that by the SMC, which are confirmed by simulation results.
2 citations
07 Jul 2010
TL;DR: A delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H∞ disturbance attenuation level, where the non-fragility of filters, network-induced delays and data packet dropouts are taken into account simultaneously.
Abstract: This paper is concerned with non-fragile H ∞ filtering for linear systems in network environments. The filtering error system is modeled as a linear system with an interval time-varying delay. Then a delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H ∞ disturbance attenuation level, where the non-fragility of filters, network-induced delays and data packet dropouts are taken into account simultaneously. Based on this condition, a networked non-fragile H ∞ filter with additive uncertainties can be designed by solving a set of linear matrix inequalities. A numerical example is given to demonstrate the effectiveness of the proposed design method.
1 citations