Title :
Sufficient conditions for invariance control of a class of nonlinear systems
Author :
Mareczek, Jörg ; Buss, Martin ; Schmidt, Günther
Author_Institution :
Inst. of Autom. Control Eng., Tech. Univ. Munchen, Germany
Abstract :
This paper addresses control of nonlinear, control input affine systems coupled with a controllable linear subsystem via state and control variables. The proposed method of invariance control achieves positive invariance of a state space region and exponential stability of the linear subsystem. A design method for a switching controller and sufficient conditions for positive invariance are presented. The proposed theory is illustrated by simulations of a nonminimum phase system with partly stable zero-dynamics
Keywords :
asymptotic stability; control system synthesis; invariance; nonlinear control systems; state-space methods; control input affine systems; control variables; controllable linear subsystem; exponential stability; invariance control; linear subsystem; nonlinear systems; nonminimum phase system; partly stable zero-dynamics; positive invariance; positive invariance conditions; state space region; state variables; sufficient conditions; switching controller design; Automatic control; Control systems; Couplings; Design methodology; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Robust stability; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912140
