Title :
Frequency domain and dynamic game methods for actuator/sensor selection in systems with sector nonlinearities
Author :
Demetriou, M.A. ; Charalambous, C.D.
Author_Institution :
Dept. of Mech. Eng., Worcester Polytech. Inst., MA, USA
Abstract :
The purpose of the paper is to provide a method for placing actuators and sensors in systems with nonlinear dynamics wherein the choices for actuator and sensor locations are such that the resulting system is rendered dissipative. The proposed method casts the problem of actuator and sensor selection as a convex optimization problem and which ensures that the resulting transfer function of the linear component becomes strictly positive real. Hence for an actuator and/or sensor whose dynamics have sector bounded nonlinearities, an application of Popov´s/circle criterion with a simple static feedback would ensure absolute stability. Furthermore, the nonlinear extension is formulated using dynamic game theory under partial state information
Keywords :
absolute stability; actuators; control nonlinearities; controllability; feedback; frequency-domain synthesis; game theory; observability; optimisation; sensors; stability criteria; transfer functions; Popov criterion; absolute stability; actuator locations; actuators selection; circle criterion; convex optimization problem; dissipative system; dynamic game methods; frequency domain methods; nonlinear dynamics; partial state information; sector nonlinearities; sensor locations; sensors selection; static feedback; transfer function; Controllability; Feedback; Frequency domain analysis; Hydraulic actuators; Nonlinear dynamical systems; Observability; Optimization methods; Sensor systems; Stability criteria; Transfer functions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980656