Dissipative Control for Nonlinear Neutral Delay Systems
The problem of delay-dependent dissipative control for nonlinear neutral delay systems is dealt with. We develop the design method of dissipative static state feedback controller such that the closed-loop system is absolutely stable and strictly-dissipative. Sufficient conditions for the existence of the quadratic dissipative controller are obtained by using linear Matrix Inequality(LMI) approach. Furthermore, a procedure of constructing such a controller from the solution of LMI is given. It is shown that the solvability of a dissipative controller design is implied by the feasibility of LMIs.
L. Liu and M. Li, "Dissipative Control for Nonlinear Neutral Delay Systems", Applied Mechanics and Materials, Vols. 48-49, pp. 439-442, 2011