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Hybrid State Feedback H∞ Robust Control for a Class of Linear Systems with Time-Varying Norm-Bounded Uncertainty1

赵军Hong Nie Jun Zhao

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摘要/描述

H∞ stabilization problem for a class of linear systems with time-varying norm-bounded uncertainty is studied by means of hybrid state feedback strategy. Suppose that there exist finite candidate static state feedback controllers in a set of controllers, and none of the individual controller makes the systems stabilizable with H∞ disturbance attenuation. When the gain matrices of state feedback controllers are known, based on single Lyapunov function technique and convex combination condition, a switching law which makes the uncertain switched linear system stabilizable with H∞ disturbance attenuation is constructed. When the gain matrices of state feedback controllers are unknown, multiple Lyapunov function technique is employed to derive a sufficient condition for the uncertain switched linear systems to be stabilizable with H∞ disturbance attenuation. Moreover, the existence of two static state feedback control laws is given in terms of the solvability of two coupled linear matrix inequalities. Finally, a simuIation example illustrates the main results of this paper.

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版权说明:以下全部内容由赵军上传于   2005年01月28日 21时35分41秒,版权归本人所有。

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