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- Title
Active disturbance rejection control and sliding mode control of one-dimensional unstable heat equation with boundary uncertainties.
- Authors
JUN-JUN LIU; JUN-MIN WANG
- Abstract
In this paper, we are concerned with the boundary stabilization of a one-dimensional unstable heat equation with the external disturbance flowing into the control end. The active disturbance rejection control (ADRC) and the sliding mode control (SMC) are adopted in investigation. By the ADRC approach, the disturbance is estimated through an external observer and cancelled online by the approximated one in the closed-loop. It is shown that the external disturbance can be attenuated in the sense that the resulting closed-loop system under the extended state feedback tends to any arbitrary given vicinity of zero as the time goes to infinity. In the second part, we use the SMC to reject the disturbance with the assumption in which the disturbance is supposed to be bounded. The reaching condition, and the existence and uniqueness of the solution for all states in the state space via SMC are established. Simulation examples are presented for both control strategies.
- Subjects
HEAT equation; HEAT transfer; MATHEMATICAL models of thermodynamics; SLIDING mode control; CLOSED loop systems; BOUNDARY value problems; MATHEMATICAL models
- Publication
IMA Journal of Mathematical Control & Information, 2015, Vol 32, Issue 1, p97
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnt034