State Of Exosystem Research Articles

Performance output regulation of coupled heat equations with recycle

Abstract In this article, we study the output regulation of two coupled heat equations with recycle, where the disturbances are distributed in all channels, the control is implemented at the left boundary $x=0$ and the point temperature at $x=2$ is the only noncollocated measurement. The output control is divided into two parts: one is to stabilize the unstable heat system by the noncollocated static feedback, and the other is to achieve output regulation by solving the regulator equation and estimating the disturbances, where an observer is constructed to estimate the state of heat system and exosystem synchronously. The closed-loop system is proved to be well-posed and uniformly bounded using the Riesz basis approach, and the integral output tracks successfully the reference signal exponentially. The numerical simulations are carried out to demonstrate the proposed controller is effective and the tracking error converges to zero.

Distributed fault-tolerant output regulation for heterogeneous linear multi-agent systems under actuator faults

This study investigates the distributed fault-tolerant output regulation for heterogeneous linear multi-agent systems in the presence of actuator faults. For the systems which are not the neighbors of exosystem, the distributed fixed-time observer is put forward to observe the state of exosystem. Note that it is dependent on the global information of network topology. To address this issue, the fully distributed adaptive fixed-time observer is further proposed. It can estimate not only the state of exosystem, but also the system matrix of exosystem. Based on the proposed observer, a novel fault-tolerant controller is developed to compensate for actuator faults. Moreover, it is proven that the proposed controller is effective to address the fault-tolerant output regulation problem by the Lyapunov stability theory. Finally, two illustrative examples are given to illustrate the feasibility of the main theoretical findings.

Cooperative Output Regulation of LTI Plant via Distributed Observers With Local Measurement.

Over the last decades, distributed output regulation problems have received much consideration due to its extensively applications in real world practices. Traditionally, it is assumed that each node obtains the same signal. However, an important observation is that each agent possesses different measurement due to the observability or configuration of the systems. To solve the output regulation problem in this case, we proposed a cooperative output regulation network, where each agent obtains a part of system output measurement on states of plant and exosystem. Distributed state observers and disturbance observers are designed in order to fuse the observed data. Different from traditional literatures, our design shows that even none of the agents can locally reconstruct the state of exosystem, it is still possible to design a networked system to track the reference signal properly. Conditions that guarantee the existence of parameters are given in the cases, where the network topologies are fixed and time-varying, respectively. The simulation results verify our method very effectively.

Synchronized Output Regulation of Linear Networked Systems

This note addresses the problem of synchronized output regulation of linear networked system where all the nodes have their outputs track signals produced by the same exosystem and the state of exosystem is accessible only to leader nodes, while follower nodes regulate their outputs via a distributed synchronous protocol. This problem can be decoupled into two: one is the output regulation problem on the synchronous manifold and the other is the stability problem of synchronous manifold. The proposed synchronous protocol is independent of the network topology. The stability of synchronous manifold is analyzed through the permissible eigenvalue region and the requirements of information graph. Finally, a numerical example illustrates the efficacy of the presented results.