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Stability analysis and stabilisation for a class of 2-D nonlinear discrete systems. (English) Zbl 1233.93073
Summary: This article is concerned with stability analysis and stabilisation problems for a class of two-dimensional (2-D) nonlinear discrete systems. First, the stability condition is derived for 2-D systems with nonlinearity by exploiting the Lyapunov method. Based on this result, a state feedback controller and an output feedback controller are designed to achieve stability for the closed-loop system. Next, H controllers are given in terms of the Linear Matrix Inequality (LMI). Finally, some numerical examples are used to illustrate the effectiveness of the results.
MSC:
93D05Lyapunov and other classical stabilities of control systems
93D15Stabilization of systems by feedback
93C55Discrete-time control systems
93C10Nonlinear control systems