Robust Static Output Feedback Synthesis under an Integral Quadratic Constraint on the States

The static output feedback synthesis problem is considered under an integral quadratic constraint on the states. The problem is formulated as a multi-objective synthesis in which an H-infinity performance objective is to be guaranteed in addition to the integral quadratic constraint. Sufficient LMI conditions are then derived for the solvability of the problem. Extension to parameter-dependent systems is also discussed briefly. The developed method is then applied to the control of a heterogenous platoon formed by three vehicles