Guaranteed cost sampled-data control for uncertain nonlinear time-varying delay system |
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Authors: | Li-ying Fan and Jun-feng Wu |
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Affiliation: | (1) Department of Systems Engineering, King Fahd Univ. of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia |
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Abstract: | The robust guaranteed cost sampled-data control was studied for a class of uncertain nonlinear systems with time-varying delay.
The parameter uncertainties are time-varying norm-bounded and appear in both the state and the input control matrices. By
applying an input delay approach, the system was transformed into a continuous time-delay system. Attention was focused on
the design of a robust guaranteed cost sampled-data control law which guarantees that the closed-loop system is asymptotically
stable and the quadratic performance index is less than a certain bound for all admissible uncertainties. By applying Lyapunov
stability theory, the theorems were derived to provide sufficient conditions for the existence of robust guaranteed cost sampled-data
control law in the form of linear matrix inequalities (LMIs), especially an optimal state-feedback guaranteed cost sampled-data
control law which ensures the minimization of the guaranteed cost was given. The effectiveness of the proposed method was
illustrated by a simulation example with the asymptotically stable curves of system state under the initial condition of x(0)=0.679 6 0]. |
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Keywords: | nonlinear system guaranteed cost sampled-data control input delay linear matrix inequalities |
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