2010 Volume 130 Issue 11 Pages 1960-1967
This paper investigates the L2-gain analysis and synthesis issues under the Filippov framework for a class of nonlinear time-delay systems with discontinuity. First, an extension of L2-gain property along all the Filippov solutions is given for the time-delay systems, and a sufficient condition is presented that guarantees the nonlinear time-delay systems is strongly stable in the sense of Filippov solution, and the L2-gain less than a given level. The condition is described by functional partial differential inequality. Then, as an application of the presented condition, a feedback control design problem is solved that the controller strongly stabilized a given plant with pre-specified L2-gain. Furthermore, as a special case study, the case of linear systems is discussed and it is shown that for the piecewise continuous linear systems, the sufficient condition is represented by algebraic Riccati inequalities.
The transactions of the Institute of Electrical Engineers of Japan.C
The Journal of the Institute of Electrical Engineers of Japan