A linear regulator problem for mechanical vibrating systems is studied in the secondorder formulation. We exploit the second-order form of the di!erential equations involved, and solve the problem without the traditional use of a Riccati equation. In its natural representation, the optimal control p
Active optimal vibration control for a lumped system
β Scribed by Shiuh-Jer Huang; Ruey-Jing Lian
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 720 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0045-7949
No coin nor oath required. For personal study only.
β¦ Synopsis
Al~r~'~A dynamic absorber with active torque generating DC motors has been studied as an actively suppressing vibration system. A typical two-level spring-lumped mass system with slider undergoing internal excitation vibrations has been considered. Both the main mass and the secondary absorber mass ha'~e DC serve motors ptanned to suppress the amplitude of vibration. State variable techniques are used to formulate the complete system and three optimal control schemes are used to control such a system. First, the discrete time optimal disturbance rejection control for a system with known disturbance is considered, in the second approach a digital optimal control for a linear quadratic regulator problem is studied and in the last approach a discrete optimal control with selected system characteristic matrix is investigated. The response of the system obtained from these optimal control approaches are compared with the response without control action first. The performance of these optimal control approaches are also compared and the availability of implementations of them are evaluated.
π SIMILAR VOLUMES
The purpose of this research is to examine a particular non-application-specific active control strategy for reproducing noise and vibration. The mechanical power absorbed by a controller is taken as a cost function to be maximized. The models suggest that an adaptive scheme to maximize the power ab
Fast and accurate vibration free positioning requires sophisticated control techniques such as bang-bang switching for a satisfactory solution. While several workers have addressed this problem, it still remains a fact that for controlling an n-degree-of-freedom degenerate system, 2n-1 accurate swit