Distributed observer‐based cooperative control for output regulation in multi‐agent linear parameter‐varying systems

Abstract

In this paper, output regulation problem is examined for a class of heterogeneous multi-agent systems, whose dynamics are governed by affine linear parameter-varying (LPV) models, with a known communication topology. In the proposed solution method, the agents are divided into two groups depending on whether or not their output is directly affected by external (such as reference or disturbance) inputs. Conditions for cooperative LPV control synthesis are first constructed through the design of distributed observers. To establish these conditions, the solution to a time-varying Sylvester equation is required. An offline solution to this equation will be proposed to calculate and update the controller state-space matrices. The proposed design methodologies of this study are finally validated using a numerical example.

Robust distributed observer for uncertain systems

“…In [35], a distributed observer for the LTI system in the presence of uncertainty in the measured output of the system is designed using analysis $${H}_\infty $$. Another study proposed the distributed observer‐based cooperative control for output regulation in multi‐agent linear parameter‐varying systems [36]. An investigation discusses the structure of distributed observers in the presence of arbitrary large delays in the transmitted information from neighbouring nodes [37].…”

Consensus Control of Linear Parameter-Varying Multi-Agent Systems with Unknown Inputs

“…Moreover, in [30], an encryption-decryption scheme is used to realize the fault-tolerant consensus control goal. However, there are few papers that combine MASs with LPV systems [31][32][33][34][35]. In [32], with a limited number of LMIs, a function controller and observer gains with time-varying parameters can be obtained, and the consensus problem for MASs is then solved.…”

An Improved Complex-Valued Recurrent Neural Network Model for Time-Varying Complex-Valued Sylvester Equation

“…Today the Sylvester equation (SE) has been successfully applied into many fields, such as the robotic application [1], the waveguide eigenvalue problem [2], the commutative rings [3], the isogeometric preconditioners [4], the multiagent linear parameter-varying systems [5]. Generally speaking, the Sylvester equation can be divided into two categories: namely the static SE and the dynamic SE (i.e., time-varying Sylvester equation, TVSE).…”