Name
Abstract | ||
|---|---|---|
For the continuous infinite horizon time-invariant linear quadratic regulator problem (LQR), in the paper, the optimal state feedback controller based on the estimated state of the observer can be decoupled by the proposed approach which resulting one continuous time algebraic Riccati equation (CARE) for the controller design and one matrix equality equation (MEE) for the observer design. A coupling term related the CARE of the controller is found to be existed in the MEE of the observer. Unlike the separate principle to design the controller and observer separately without any coupling term, the design of the observer should consider the coupling term related to the CARE of the controller. The coupling problem between the controller and the observer usually exists in the linear matrix inequality (LMI) approach, and it is the main problem to be solved. The two-stage scheme is popular in the LMI approach, and the proposed method is similar to it, but adopting equality instead of inequality. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ICMLC.2010.5580791 | ICMLC |
Keywords | Field | DocType |
observers,linear quadratic control,optimal state feedback controller,observer base linear quadratic regulation,are,care,lqr,control system synthesis,matrix equality equation,linear matrix inequality,infinite horizon,state feedback,linear quadratic regulator problem,observer base,continuous time algebraic riccati equation,two-stage,controller design,riccati equations,linear matrix inequalities,continuous infinite horizon time-invariant,observer design,algebraic riccati equation,reliability theory,irrigation,linear quadratic regulator,filtering,couplings,separation principle | State observer,Control theory,Separation principle,Full state feedback,Control theory,Algebraic Riccati equation,Observer (quantum physics),Linear-quadratic regulator,Mathematics,Linear matrix inequality | Conference |
Volume | ISBN | Citations |
6 | 978-1-4244-6526-2 | 0 |
PageRank | References | Authors |
0.34 | 4 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chi-Kuang Hwang | 1 | 48 | 5.34 |
| Kun-Shu Huang | 2 | 2 | 1.37 |
| Kuo-Bin Lin | 3 | 0 | 1.01 |
| Bore-Kuen Lee | 4 | 87 | 11.30 |