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High-performance LQR control for continuous time systems with redundant control inputs.
- Source :
- International Journal of Systems Science; Apr2024, Vol. 55 Issue 5, p909-925, 17p
- Publication Year :
- 2024
-
Abstract
- This paper investigates the linear quadratic regulator (LQR) problem for continuous-time linear systems with redundant control inputs. The LQR control problem has been widely studied, but due to technical difficulties, there is little advance in the study of adding input redundancies. To address this problem, a convergent matrix series, the limit of a monotonically decreasing sequence, is first presented as an upper bound of the symmetric positive definite solution of a class of continuous algebraic Riccati equations (CAREs). Compared with the existing studies on this topic, the obtained bounds are more precise. Moreover, by utilising these upper bounds in the LQR problem of adding input redundancies, a class of sufficient conditions is presented to decrease the quadratic performance index. Finally, the corresponding numerical examples are given to illustrate the effectiveness of our results and compare them with the existing results. Meanwhile, some simulation experiments show that systems with redundant control inputs have good control performance. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONTINUOUS time systems
ALGEBRAIC equations
LINEAR control systems
RICCATI equation
Subjects
Details
- Language :
- English
- ISSN :
- 00207721
- Volume :
- 55
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Systems Science
- Publication Type :
- Academic Journal
- Accession number :
- 175497154
- Full Text :
- https://doi.org/10.1080/00207721.2023.2300724