Distributed adaptive stabilization
In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high gains if the system matrix is an H-matrix with positive diagonal entries. Based on matrix measure and stability theory for diagonally dominant systems, we consider two classes of uncertain linear systems, and derive a threshold condition to ensure their exponential stability by a monotonically increasing diagonal gain matrix. When each individual gain function in the matrix gain is updated by state-dependent functions using only local state information, the boundedness and convergence of both system states and adaptive matrix gains are guaranteed. We apply the adaptive distributed stabilization approach to adaptive synchronization control for large-scale complex networks consisting of nonlinear node dynamics and time-varying coupling weights. A unified framework for adaptive synchronization is proposed that includes several general design approaches for adaptive coupling weights to guarantee network synchronization.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Virtual Contraction Approach to Decentralized Adaptive Stabilization of Nonlinear Time-Delayed Networks
In this paper, we utilize a diagonally dominant structure for the decentralized stabilization of unknown nonlinear time-delayed networks. Generalizing the idea of virtual contraction analysis to time-delayed systems, we …
A Framework on Fully Distributed State Estimation and Cooperative Stabilization of LTI Plants
How to realize high-level autonomy of individuals is one of key technical issues to promote swarm intelligence of multi-agent (node) systems with collective tasks, while the fully distributed design is a potential way to…
State EstimationFinite Time Adaptive Stabilization of LQ Systems
Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure …
Continuous-Time Output Feedback Adaptive Control for Stabilization and Tracking with Experimental Results
This paper presents a continuous-time output feedback adaptive control technique for stabilization and tracking control problems. The adaptive controller is motivated by the classical discrete-time retrospective cost ada…
Distributed Stabilization of Two Interdependent Markov Jump Linear Systems with Partial Information
In this paper, we study the stabilization of two interdependent Markov jump linear systems (MJLSs) with partial information, where the interdependency arises as the transition of the mode of one system depends on the sta…