Title :
Nonlinear control using homotopy methods
Author :
Reif, Konrad ; Weinzierl, Klaus ; Zell, Andreas ; Unbehauen, Rolf
Author_Institution :
Lehrstuhl fur Allgemeine und Theor. Elektrotech., Erlangen-Nurnberg Univ., Germany
Abstract :
Homotopy and continuation methods are commonly used tools in numerical analysis to solve nonlinear algebraic equations and optimisation problems. In this paper they are used to generalise the feedback controller design based on the well-known linearisation around an operating point. The result is a nonlinear feedback control law with guaranteed closed loop stability properties. The advantages are very unrestrictive conditions on the plant to be controlled and the possibility to upgrade a reliable linear controller
Keywords :
closed loop systems; control system synthesis; controllers; feedback; linearisation techniques; nonlinear control systems; nonlinear equations; stability; closed loop stability; continuation methods; feedback controller design; homotopy methods; nonlinear algebraic equations; nonlinear control; nonlinear feedback control law; numerical analysis; operating point linearisation; optimisation problems; Control system synthesis; Control systems; Design optimization; Feedback control; Nonlinear control systems; Nonlinear equations; Numerical analysis; Numerical stability; Optimal control; Optimization methods;
Conference_Titel :
Industrial Electronics, Control, and Instrumentation, 1996., Proceedings of the 1996 IEEE IECON 22nd International Conference on
Conference_Location :
Taipei
Print_ISBN :
0-7803-2775-6
DOI :
10.1109/IECON.1996.570768
