Title :
Non-equilibrium transient trajectory shaping control via a three-stage switching method for a class of nonlinear systems
Author :
Yan, Fengjun ; Wang, Junmin
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Ohio State Univ., Columbus, OH, USA
Abstract :
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.
Keywords :
nonlinear control systems; position control; stability; NETTS switching control algorithm; barrier Lyapunov function; nonequilibrium transient trajectory shaping control; nonlinear systems; tracking error; Combustion; Lyapunov method; Nonlinear systems; Switches; Trajectory; Transient analysis;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717637