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Delay-dependent passive control of linear systems with nonlinear perturbation

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2 Author(s)
Caina, Li ; Research Center of Control Science and Engineering, Southern Yangtze Univ., Wuxi 214122, P. R. China ; Baotong, Cui

The problem of delay-dependent passive control of a class of linear systems with nonlinear perturbation and time-varying delay in states is studied. The main idea aims at designing a state-feedback controller such that for a time-varying delay in states, the linear system with nonlinear perturbation remains robustly stable and passive. In the system, the delay is time-varying. And the derivation of delay has the maximum and minimum value. The time-varying nonlinear perturbation is allowed to be norm-bounded. Using the effective linear matrix inequality methodology, the sufficient condition is primarily obtained for the system to have robust stability and passivity. Subsequently the existent condition of a state feedback controller is given, and the explicit expression of the controller is obtained by means of the solution of linear matrix inequalities (LMIs). In the end, a numerical example is given to demonstrate the validity and applicability of the proposed approach.

Published in:

Systems Engineering and Electronics, Journal of  (Volume:19 ,  Issue: 2 )