Control of nonlinear systems with time delay
نویسنده
چکیده
The concept of control Lyapunov functions (CLF) has recently been extended to time delay system in the form of control Lyapunov-Razumikhin functions (CLRF) and control Lyapunov-Krasovsky functionals (CLKF). If a CLKF is known for a nonlinear time delay system, several stabilizing control laws can be constructed using one of the universal formulas derived for CLF’s. In this paper we establish a generic sufficient condition for stabilization using the domination redesign formula. The proof of stability requires that the CLKF be augmented, but the construction of the augmentation term is not needed for control design. The results are illustrated on a model of a stirred tank reactor with recycling.
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تاریخ انتشار 2003