Title :
Multiplier theory for stability analysis of anti-windup control systems
Author :
Kothare, Mayuresh V. ; Morari, Manfred
Author_Institution :
Dept. of Chem. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
Applies the passivity theorem with appropriate choice of multipliers to develop sufficient conditions for stability of the anti-windup bumpless transfer (AWBT) framework presented in Kothare et al. (1994). For particular choices of the multipliers, the authors show that these tests can be performed using convex optimization over linear matrix inequalities (LMIs). The sufficient conditions are complemented by necessary conditions for internal stability of the AWBT compensated system
Keywords :
closed loop systems; control system analysis; matrix algebra; optimisation; stability; anti-windup bumpless transfer; anti-windup control systems; convex optimization; internal stability; linear matrix inequalities; multiplier theory; necessary conditions; passivity theorem; stability analysis; sufficient conditions; Appropriate technology; Automatic control; Closed loop systems; Control systems; Hilbert space; Linear matrix inequalities; Stability analysis; Stability criteria; Sufficient conditions; Uncertainty;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479183
