Distributed control for interconnected linear parameter-dependent systems

Stability analysis and performance control problems for a class of interconnected parameter-dependent systems with linear fractional parameter dependency are considered. The time and spatially varying parameters are assumed measurable in real-time for controller use. The distributed controller inherits the spatial structure of the plant, which is implementable through parallel computation. The stability of the interconnected parameter-dependent systems is established using a distributed Lyapunov function. Moreover, the synthesis condition of distributed parameter-dependent control gain is formulated as a convex optimisation in the form of a linear matrix inequality. An explicit distributed controller formula is also provided by exploiting the connection between the continuous and the discrete interconnected system descriptions.

[1]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

[2]  G. West-Vukovich,et al.  The decentralized control of large flexible space structures , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[3]  Bassam Bamieh,et al.  Optimal control of arrays of microcantilevers , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[4]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[5]  Fernando Paganini,et al.  Distributed control of spatially invariant systems , 2002, IEEE Trans. Autom. Control..

[6]  G. Scorletti,et al.  Improved linear matrix inequality conditions for gain scheduling , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[7]  Geir E. Dullerud,et al.  Distributed control design for spatially interconnected systems , 2003, IEEE Trans. Autom. Control..

[8]  Carsten W. Scherer,et al.  LPV control and full block multipliers , 2001, Autom..

[9]  Raffaello D'Andrea,et al.  Extension of Parrott's theorem to nondefinite scalings , 2000, IEEE Trans. Autom. Control..

[10]  Mario Innocenti,et al.  Autonomous formation flight , 2000 .

[11]  S. Lall,et al.  Convex /spl Lscr//sub 2/ synthesis for multidimensional systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[12]  R. D'Andrea,et al.  Control of spatially varying distributed systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).