TY - GEN
T1 - Non-Equilibrium Transient Trajectory Shaping Control via a Three-Stage Switching Method for a Class of Nonlinear Systems
AU - Yan, Fengjun
AU - Wang, Junmin
PY - 2010
Y1 - 2010
N2 - This paper presents a three-stage switching control method to deal with the non-equilibrium transient trajectory shaping (NETTS) control problem for a class of nonlinear systems. Through this method, the system tracking error non-equilibrium transient trajectory can be effectively shaped by constant boundaries and two pre-designed, exponentially-converging bounds. The tracking error is handled by a Barrier Lyapunov Function (BLF) in the first stage. Once the derivative of the tracking error reaches a desired negative value, the control law is switched into stage 2 where a trajectory shaping method is utilized by changing the coordinates and the trajectory of tracking error is bounded by two pre-designed, exponentially-converging boundaries. After the tracking error converging into a sufficiently small region around zero, the control law is switched to the BLF based method again for constraining the transient trajectory in the third stage. A numerical example is utilized to demonstrate the performance of the proposed three-stage NETTS switching control algorithm.
AB - This paper presents a three-stage switching control method to deal with the non-equilibrium transient trajectory shaping (NETTS) control problem for a class of nonlinear systems. Through this method, the system tracking error non-equilibrium transient trajectory can be effectively shaped by constant boundaries and two pre-designed, exponentially-converging bounds. The tracking error is handled by a Barrier Lyapunov Function (BLF) in the first stage. Once the derivative of the tracking error reaches a desired negative value, the control law is switched into stage 2 where a trajectory shaping method is utilized by changing the coordinates and the trajectory of tracking error is bounded by two pre-designed, exponentially-converging boundaries. After the tracking error converging into a sufficiently small region around zero, the control law is switched to the BLF based method again for constraining the transient trajectory in the third stage. A numerical example is utilized to demonstrate the performance of the proposed three-stage NETTS switching control algorithm.
UR - https://www.scopus.com/pages/publications/79953156563
U2 - 10.1109/CDC.2010.5717637
DO - 10.1109/CDC.2010.5717637
M3 - 会议稿件
AN - SCOPUS:79953156563
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5162
EP - 5167
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -