Fixed-Order l1-control for systems with time-delay

In this paper, fixed-order l
1
-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback it l
1
-control and dynamic output-feedback l
1
-control are obtained. This paper also gives the forms of solution to l
1
-controller. In the paper, the problem is not cast into infinite dimensional constrained convex optimal problem, but an upper bound of l
1
-norm is optimized. Although the l
1
-control is sub-optimal, the analysis and design are simple. The result of the paper improves and develops the l
1
-control method.