Title :
Brief Paper - Output tracking control for a class of switched non-linear systems with partial state constraints
Author :
Ben Niu ; Jun Zhao
Author_Institution :
State Key Lab. of Synthetical Autom. for Process Ind., Northeastern Univ., Shenyang, China
Abstract :
In this study, we deal with the output tracking control problem for a class of switched non-linear systems in lower triangular form subject to constraints on the states. To prevent states from transgressing the constraints, we employ a barrier Lyapunov function (BLF), which grows to infinity when its arguments approach domain boundaries. Based on the simultaneous domination assumption, we design a continuous feedback controller for the switched system. Furthermore, we show that asymptotic tracking is achieved without violation of the constraints and all closed-loop signals remain bounded, when a mild requirement on the initial values is imposed. Finally, the effectiveness of the proposed results is demonstrated using two simulation examples.
Keywords :
Lyapunov methods; closed loop systems; continuous systems; control system synthesis; feedback; nonlinear control systems; position control; time-varying systems; BLF; asymptotic tracking; barrier Lyapunov function; closed-loop signal; continuous feedback controller design; output tracking control; partial state constraint; simultaneous domination assumption; switched nonlinear system;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2012.0368