## 9 Citations

### L1–“Adaptive” Control Always Converges to a Linear PI Control and Does Not Perform Better than the PI

- Mathematics
- 2014

Abstract We show in the paper that the, so–called, “new architecture” of L 1 –adaptive control is, indeed, different from classical model reference adaptive control. Alas, it is not new, since it…

### Adaptation is Unnecessary in L1-"Adaptive" Control

- Mathematics
- 2014

We show in the paper that the, so--called, "new architecture of L_1-Adaptive Control" is, indeed, different from classical model reference adaptive control. Alas, it is not new, since it exactly…

### Adaptation Is Unnecessary in formula>$\\mathcal{L}_{1}$<\/tex><\/formula>-Adaptive Control: What Makes an Adaptive Controller \"Adaptive\"?

- MathematicsIEEE Control Systems
- 2016

The basic premise upon which adaptive control is based is the existence of a parameterized controller that achieves the control objective. Moreover, it is assumed that these parameters are not known…

### Model‐based vs data‐driven adaptive control: An overview

- Mathematics
- 2018

In this paper, we present an overview of adaptive control by contrasting model‐based approaches with data‐driven approaches. Indeed, we propose to classify adaptive controllers into two main…

### Relaxing Fundamental Assumptions in Iterative Learning Control

- Mathematics
- 2016

An L1 adaptive feedback control based ILC architecture is developed for increased robustness, fast convergence, and high performance under time varying uncertainties and disturbances, and it is shown that the exponential stability of a nonlinear repetitive system is equivalent to that of its linearization, and consequently uniform stability of the corresponding state space matrix.

### Decentralised L1 Adaptive Primary Controllers and Distributed Consensus-Based Secondary Control for DC Microgrids with Constant-Power Loads

- EngineeringArXiv
- 2018

This paper equips distributed generation units with decentralised L1 adaptive controllers at the primary level of the microgrid control hierarchy with distributed consensus-based secondary level controls using a bus-connected DC microgrid, which consists of DC-DC buck and boost converters, linear and non-linear loads.

### S Y ] 2 0 M ar 2 01 8 Voltage Control of DC Islanded Microgrids : Scalable Decentralised L 1 Adaptive Controllers

- Engineering
- 2018

Voltage stability is a critical feature of an efficiently operating power distribution system such as a DC islanded microgrid. Large-scale autonomous power systems can be defined by heterogeneous…

### Voltage Control of DC Islanded Microgrids: Scalable Decentralised L1 Adaptive Controllers

- EngineeringArXiv
- 2018

This paper proposes a novel scalable decentralised control scheme at the primary level of the typical hierarchical control architecture of DC islanded microgrids with arbitrary topology that achieves fast and robust microgrid voltage stability in the presence of dynamic uncertainty and plug-and-play operations.

### A stability-theory perspective to synchronisation of heterogeneous networks

- Political Science
- 2015

Dans ce memoire, nous faisons une presentation de nos recherches dans le domaine de la synchronisation des systemes dynamiques interconnectes en reseau. Une des originalites de nos travaux est qu'ils…

## 13 References

### Analysis of ℒ1 adaptive output feedback control; equivalent LTI controllers

- Mathematics
- 2012

Abstract The recently developed ℒ 1 adaptive control theory is a promising approach to robust adaptive control. Due to the specific architecture used in ℒ 1 adaptive controllers, robustness and…

### Comments on -adaptive control: stabilisation mechanism, existing conditions for stability and performance limitations

- EngineeringInt. J. Control
- 2014

The main contributions of the paper are to reveal that the stabilisation mechanism is univocally determined by the filter and is independent of the parameter adaptation and to prove that the condition for stability suggested in the literature cannot be verified, even in basic examples.

### L1–“Adaptive” Control Always Converges to a Linear PI Control and Does Not Perform Better than the PI

- Mathematics
- 2014

Abstract We show in the paper that the, so–called, “new architecture” of L 1 –adaptive control is, indeed, different from classical model reference adaptive control. Alas, it is not new, since it…

### Adaptation is Unnecessary in L1-"Adaptive" Control

- Mathematics
- 2014

We show in the paper that the, so--called, "new architecture of L_1-Adaptive Control" is, indeed, different from classical model reference adaptive control. Alas, it is not new, since it exactly…

### Limiting behavior of L1 adaptive controllers

- Mathematics
- 2011

It is shown that the L1 adaptive controllers approximate an implementable non–adaptive linear controller, when the adaptation rate approaches infinity, which implies that both the L2 adaptive and the limiting non-adaptive control systems achieve the same control objective.

### Adaptive Control: Stability, Convergence and Robustness

- Mathematics
- 1989

The deterministic theory of adaptive control (AC) is presented in an introduction for graduate students and practicing engineers. Chapters are devoted to basic AC approaches, notation and fundamental…

### ${\rm L}_{1}$-Adaptive Control: Stability, Robustness, and Interpretations

- EngineeringIEEE Transactions on Automatic Control
- 2014

This analysis shows that the insertion of the proposed filter deteriorates the performance and robust stability margin bounds compared to standard MRAC, i.e., when the filter is removed.

### $\mathcal {L}_1$Adaptive Control for Safety-Critical Systems

- EngineeringIEEE Control Systems
- 2011

The key feature of L1 adaptive-control architectures is the decoupling of estimation and control, which enables the use of arbitrarily fast estimation rates without sacrificing robustness.

### Identification of Parameterized Gray-Box State-Space Systems: From a Black-Box Linear Time-Invariant Representation to a Structured One

- MathematicsIEEE Transactions on Automatic Control
- 2014

It is proved that the global solutions of these two optimization problems are unique, and the proposed algorithms are presented, along with an example of a physical system.