Taking into account the probabilistic uncertainty on the target radar cross section parameter

a robust power allocation scheme is presented for multiple target localization.The aim of this scheme is to minimize the total power consumption of the colocated MIMO radar

while meeting a specified multi-target localization accuracy requirement with high probability.Firstly

the Cramer Rao Lower Bound (CRLB) is derived.Then

the chance constrained model is built with the objective of minimizing the total transmit power of the colocated MIMO radar

while the joint CRLB outage probability is enforced to be greater than a specified probability.By formulating the Karush-Kuhn-Tuckers conditions

we transform the resulting chance constrained problem into a nonlinear equation solving problem

and then obtain its optimal solution in an analytical form.Finally

the effectiveness and robustness of the proposed algorithm are verified by the simulation results.