233 research outputs found
Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints
This paper investigates time-invariant linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semiglobally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, a reduction technique is presented which shows, when trying to compute the recoverable region, that we only need to compute the recoverable region for a system of lower dimension which generally leads to a considerable simplification in the computational effort
Internal stabilization and external stabilization of linear systems subject to constraints
Having studied during the last decade several aspects of several control design problems for linear systems subject to magnitude and rate constraints on control variables, during the last two years the research has broadened to include magnitude constraints on control variables as well as state variables. Recent work by Han et al. (2000), Hou et al. (1998) and Saberi et al. (2002) considered linear systems in a general framework for constraints including both input magnitude constraints as well as state magnitude constraints. In particular, Saberi et al. consider internal stabilization while Han et al. consider output regulation in different frameworks, namely a global, semiglobal, and regional framework. These problems require very strong solvability conditions. Therefore, a main focus for future research should focus on finding a controller with a large domain of attraction and some good rejection properties for disturbances restricted to some bounded se
Regulated State Synchronization for Discrete-time Homogeneous Networks of Non-introspective Agents in Presence of Unknown Non-uniform Input Delays:A Scale-free Protocol Design
Regulated State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Delays:A Scale-Free Protocol Design
Scalable global state synchronization of discrete-time double integrator multi-agent systems with input saturation via linear protocol
Scale-free Non-collaborative Linear Protocol Design for A Class of Homogeneous Multi-agent Systems
In this paper, we have focused on identifying a class of continuous- and
discrete-time MAS for which a scale-free non-collaborative (i.e., scale-free
fully distributed) linear protocol design is developed. We have identified
conditions on agent models that enable us to design scalable linear protocols.
Moreover, we show that these conditions are necessary if the agents are single
input and single output. We also provide a complete design of scalable
protocols for this class.Comment: This paper was submitted to IEEE Transactions on Automatic Control at
Nov. 17, 2021. This version is the one for the third round review from March
29, 202
The role of local bounds on neighborhoods in the network for scale-free state synchronization of multi-agent systems
This paper provides necessary and sufficient conditions for the existence of
solutions to the state synchronization problem of homogeneous multi-agent
systems (MAS) via scale-free linear dynamic non-collaborative protocol for both
continuous- and discrete-time. These conditions guarantee for which class of
MAS, one can achieve scale-free state synchronization. We investigate protocol
design with and without utilizing local bounds on neighborhood. The results
show that the availability of local bounds on neighborhoods plays a key role.Comment: This paper was submitted to IJRNC on Aug. 3, 2023 and resubmitted on
Nov. 16, 2023. Now, it is under review at the second roun
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