Title :
Delay-independent stability of (Q, S, R)-dissipative networked systems with a distributed controller
Author :
Matiakis, Tilemachos ; Hirche, Sandra
Author_Institution :
Inst. of Autom. Control Eng., Tech. Univ. Munchen, München, Germany
Abstract :
In this paper a distributed control approach aiming at delay-independent stability of networked (Q,S,R)-dissipative systems is proposed. The key idea is to exploit the available computational power in the plant side to locally implement a static-output-feedback-input-feedforward controller. This controller can be interpreted as an invertible transformation of arbitrary dissipativity properties of the plant into finite L2-gain properties which are invariant against unknown constant time delay. As a result delay-independent stability of the overall system is guaranteed if the original plant and controller satisfy the well-known dissipativity-based stability conditions for interconnected systems without time delay. Extensions to time-varying delay and packet loss are straightforward. The superior performance of the proposed approach is demonstrated in simulations.
Keywords :
control system synthesis; delays; distributed control; feedback; feedforward; interconnected systems; networked control systems; stability; (Q, S, R)-dissipative networked systems; arbitrary dissipativity properties; computational power; delay-independent stability; dissipativity-based stability conditions; distributed control approach; finite L2-gain properties; interconnected systems; invertible transformation; packet loss; static-output-feedback-input-feedforward controller; time-varying delay; unknown constant time delay; Closed loop systems; Delay effects; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrix decomposition; Stability analysis; Vectors;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3