TY - GEN
T1 - Output-feedback boundary control of an uncertain heat equation with noncollocated observation
T2 - 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
AU - Cheng, Meng Bi
AU - Radisavljevic, Verica
AU - Su, Wu Chung
PY - 2010
Y1 - 2010
N2 - The boundary stabilization problem of a one- dimensional unstable heat conduction system with boundary disturbance is investigated using a sliding-mode approach. This infinite-dimensional system, mathematical modeled by a parabolic partial differential equation (PDE), is powered with a Dirichlet type boundary actuator and only sensing at opposite end. By applying the Volterra integral transformation, a stabilizing boundary control law is obtained to achieve exponential stability in the ideal situation when there are no system uncertainties. The associated Lyapunov function is used for designing an infinite-dimensional sliding manifold, on which the system exhibits the same type of stability and robustness against of bounded exogenous boundary disturbance. By utilizing the similar transformation, an infinite-dimensional sliding-mode observer is proposed to reconstruct the system' states, which is with robustness to boundary disturbance. Moreover, the relative degree of the chosen sliding function with respect to the output-feedback boundary control input is zero. A continuous control law satisfying the reaching condition is obtained by passing a discontinuous (signum) signal through an integrator.
AB - The boundary stabilization problem of a one- dimensional unstable heat conduction system with boundary disturbance is investigated using a sliding-mode approach. This infinite-dimensional system, mathematical modeled by a parabolic partial differential equation (PDE), is powered with a Dirichlet type boundary actuator and only sensing at opposite end. By applying the Volterra integral transformation, a stabilizing boundary control law is obtained to achieve exponential stability in the ideal situation when there are no system uncertainties. The associated Lyapunov function is used for designing an infinite-dimensional sliding manifold, on which the system exhibits the same type of stability and robustness against of bounded exogenous boundary disturbance. By utilizing the similar transformation, an infinite-dimensional sliding-mode observer is proposed to reconstruct the system' states, which is with robustness to boundary disturbance. Moreover, the relative degree of the chosen sliding function with respect to the output-feedback boundary control input is zero. A continuous control law satisfying the reaching condition is obtained by passing a discontinuous (signum) signal through an integrator.
KW - Boundary control
KW - Chattering reduction
KW - Distributed parameter systems
KW - Full-state accessibility
KW - Sliding-mode observer
UR - https://www.scopus.com/pages/publications/77956026541
U2 - 10.1109/ICIEA.2010.5515141
DO - 10.1109/ICIEA.2010.5515141
M3 - Conference contribution
AN - SCOPUS:77956026541
SN - 9781424450466
T3 - Proceedings of the 2010 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
SP - 2187
EP - 2192
BT - Proceedings of the 2010 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
Y2 - 15 June 2010 through 17 June 2010
ER -