A new stability result for nonlinear cascade time-delay system and its application in chaos control
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Based on the converse Lyapunov stability theorem and invariant set theory, this paper presents a new theorem for the nonlinear cascade delay system. With this new proposed method, a lot of coupled items can be taken as zero items. So the whole system can be converted to a very simple form. Also, a simple chaos control technique is proposed for the uncertain time-delay Lorenz chaotic system via this new method. The controller designed is linear and easy to be implemented. Simulation results for uncertain chaotic systems are provided to illustrate the effectiveness of the proposed scheme.
KeywordsCascade delay system Zero items Delay chaotic system Linear controller
The authors would thank Professor Stefan Siegmund for his useful suggestions in the proof of Theorem 1.
- 1.Mazenc, F., Praly, L., Dayawansa, W.P.: Global stabilization by output feedback: examples and counter examples. Syst. Control Lett. 23, 119–125 (1994)Google Scholar
- 2.Qian, C., Lin, W.: Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Trans. Autom. Control 47(10), 1710–1715 (2002)Google Scholar