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Stabilization of discrete nonlinear systems based on control Lyapunov functions |
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| Authors: | Cai Xiushan Wang Xiaodong Lü Ganyun |
| Institution: | Coll.of Mathematics,Physics and Information Engineering,Zhejiang Normal Univ.,Jinhua 321004,P.R.China |
| Abstract: | The stabilization of discrete nonlinear systems is studied.Based on control Lyapunov functions,asufficient and necessary condition for a quadratic function to be a control Lyapunov function is given.From this condition,a continuous state feedback law is constructed explicitly.It can globally asymptotically stabilize the equilibrium of the closed-loop system.A simulation example shows the effectiveness of the proposed method. |
| Keywords: | control Lyapunov functions discrete systems stabilization control Lyapunov functions based nonlinear systems discrete simulation example effectiveness method stabilize equilibrium continuous state feedback necessary condition quadratic function Based stabilization |
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