Virtualized resources management for service level objectives (SLOs) of applications has been one of the key problems of system management in current data centers. To solve this problem one needs to: 1) dynamically and distributed allocating resources to virtual machines (VMs) of applications on demand; 2) efficiently control interference among VMs consolidated on a single physical server, due to their contention on non-virtualized resources. Many existing methods, however, are not suitable for this virtualized data center scenario. This paper presents a method for the virtualized resource management for SLOs of applications. First, based on the feedback control theory, this method can achieve SLOs of applications through dynamically resourced allocation. Second, a two-layer self-adaptive mechanism is devised and used to dynamically capture the non-linear relationship between the performance of applications and the resources allocation. Third, this method can control the performance interference among VMs on non-virtualized resources through virtualized resources allocation. The study has evaluated this method on the RUBiS system and TPC-W benchmark in a Xen-based virtualized cluster. The experimental results show that the average rate of SLOs achieved by this method is 29.2% higher than ones by two existing methods. Along with the average deviation from SLOs, this method is 50.1% lower than ones of the existing methods. Furthermore, when resource contention occurs on non-virtualized disk I/O between RUBiS and TPC-W, this method can almost entirely satisfy the disk I/O requirement of RUBiS of high priority through restraining TPC-W requests, e.g. 28.7%, on virtualized CPU.