Abstract
Design of distributed protocols for multiagent systems has received extensive attention in the past two decades. A challenging problem in this context is to develop distributed synchronizing protocols that minimize given cost criteria. Recent years have also witnessed an increasing interest in problems of distributed state estimation for largescale systems. Two challenging problems in this context are the problems of distributed H2 and Hinfinity optimal filtering.
In this dissertation, we study both distributed linear quadratic optimal control problems and distributed filtering problems.
In the framework of distributed linear quadratic control, both for leaderless and leaderfollower multiagent systems we provide design methods for computing statefeedbackbased distributed suboptimal synchronizing protocols. In the framework of distributed H2 suboptimal control, both for homogeneous and heterogeneous multiagent systems we establish design methods for computing statefeedbackbased and outputfeedbackbased distributed suboptimal synchronizing protocols.
The distributed H2 and Hinfinity optimal filtering problem are the problems of designing local filter gains such that the H2 or Hinfinity norm of the transfer matrix from the disturbance input to the output estimation error is minimized, while all local filters reconstruct the full system state asymptotically. Due to their nonconvex nature, it is not clear whether optimal solutions exist. Instead of studying these optimal filtering problems, in this dissertation we therefore address suboptimality versions of these problems and provide conceptual algorithms for obtaining H2 and Hinfinity suboptimal distributed filters, respectively.
In this dissertation, we study both distributed linear quadratic optimal control problems and distributed filtering problems.
In the framework of distributed linear quadratic control, both for leaderless and leaderfollower multiagent systems we provide design methods for computing statefeedbackbased distributed suboptimal synchronizing protocols. In the framework of distributed H2 suboptimal control, both for homogeneous and heterogeneous multiagent systems we establish design methods for computing statefeedbackbased and outputfeedbackbased distributed suboptimal synchronizing protocols.
The distributed H2 and Hinfinity optimal filtering problem are the problems of designing local filter gains such that the H2 or Hinfinity norm of the transfer matrix from the disturbance input to the output estimation error is minimized, while all local filters reconstruct the full system state asymptotically. Due to their nonconvex nature, it is not clear whether optimal solutions exist. Instead of studying these optimal filtering problems, in this dissertation we therefore address suboptimality versions of these problems and provide conceptual algorithms for obtaining H2 and Hinfinity suboptimal distributed filters, respectively.
Original language  English 

Qualification  Doctor of Philosophy 
Awarding Institution 

Supervisors/Advisors 

Award date  23Oct2020 
Place of Publication  [Groningen] 
Publisher  
DOIs  
Publication status  Published  2020 