John W. Simpson-Porco
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View article: Data-driven harmonic output regulation of a class of nonlinear systems
Data-driven harmonic output regulation of a class of nonlinear systems Open
The paper deals with the data-based design of state-feedback controllers that solve the output regulation problem for a class of nonlinear systems. Inspired by recent developments in model-based output regulation design techniques and in d…
View article: Distributionally Robust Stochastic Data-Driven Predictive Control with Optimized Feedback Gain
Distributionally Robust Stochastic Data-Driven Predictive Control with Optimized Feedback Gain Open
We consider the problem of direct data-driven predictive control for unknown stochastic linear time-invariant (LTI) systems with partial state observation. Building upon our previous research on data-driven stochastic control, this paper (…
View article: Steady-State Cascade Operators and their Role in Linear Control, Estimation, and Model Reduction Problems
Steady-State Cascade Operators and their Role in Linear Control, Estimation, and Model Reduction Problems Open
Certain linear matrix operators arise naturally in systems analysis and design problems involving cascade interconnections of linear time-invariant systems, including problems of stabilization, estimation, and model order reduction. We con…
View article: A Multi-Area Architecture for Real-Time Feedback-Based Optimization of Distribution Grids
A Multi-Area Architecture for Real-Time Feedback-Based Optimization of Distribution Grids Open
A challenge in transmission-distribution coordination is how to quickly and reliably coordinate Distributed Energy Resources (DERs) across large multi-stakeholder Distribution Networks (DNs) to support the Transmission Network (TN), while …
View article: On the Role of Dual Sylvester and Invariance Equations in Systems and Control
On the Role of Dual Sylvester and Invariance Equations in Systems and Control Open
International audience
View article: Stochastic Data-Driven Predictive Control with Equivalence to Stochastic MPC
Stochastic Data-Driven Predictive Control with Equivalence to Stochastic MPC Open
We propose a data-driven receding-horizon control method dealing with the chance-constrained output-tracking problem of unknown stochastic linear time-invariant (LTI) systems with partial state observation. The proposed method takes into a…
View article: Microgrid Modeling for Stability Analysis
Microgrid Modeling for Stability Analysis Open
Here this document is a summary of a report prepared by the IEEE PES Task Force (TF) on Microgrid (MG) Dynamic Modeling, IEEE Power and Energy Society, Tech. Rep. PES-TR106, 2023. In this paper, the major issues and challenges in microgrid…
View article: Closed-Loop Motion Planning for Differentially Flat Systems: A Time-Varying Optimization Framework
Closed-Loop Motion Planning for Differentially Flat Systems: A Time-Varying Optimization Framework Open
Motion planning and control are two core components of the robotic systems autonomy stack. The standard approach to combine these methodologies comprises an offline/open-loop stage, planning, that designs a feasible and safe trajectory to …
View article: Automated Lyapunov Analysis of Primal-Dual Optimization Algorithms: An Interpolation Approach
Automated Lyapunov Analysis of Primal-Dual Optimization Algorithms: An Interpolation Approach Open
Primal-dual algorithms are frequently used for iteratively solving large-scale convex optimization problems. The analysis of such algorithms is usually done on a case-by-case basis, and the resulting guaranteed rates of convergence can be …
View article: Distributed Optimization for Reactive Power Sharing and Stability of Inverter-Based Resources Under Voltage Limits
Distributed Optimization for Reactive Power Sharing and Stability of Inverter-Based Resources Under Voltage Limits Open
Reactive power sharing and containment of voltages within limits for inverter-based resources (IBRs) are two important, yet coupled objectives in ac networks. In this article, we propose a distributed control technique to simultaneously ac…
View article: Data-Driven Fast Frequency Control using Inverter-Based Resources
Data-Driven Fast Frequency Control using Inverter-Based Resources Open
To address the control challenges associated with the increasing share of inverter-connected renewable energy resources, this paper proposes a direct data-driven approach for fast frequency control in the bulk power system. The proposed co…
View article: Data-Driven Output Regulation using Single-Gain Tuning Regulators
Data-Driven Output Regulation using Single-Gain Tuning Regulators Open
Current approaches to data-driven control are geared towards optimal performance, and often integrate aspects of machine learning and large-scale convex optimization, leading to complex implementations. In many applications, it may be pref…
View article: Distributed Optimization for Reactive Power Sharing and Stability of Inverter-Based Resources Under Voltage Limits
Distributed Optimization for Reactive Power Sharing and Stability of Inverter-Based Resources Under Voltage Limits Open
Reactive power sharing and containment of voltages within limits for inverter-based resources (IBRs) are two important, yet coupled objectives in ac networks. In this article, we propose a distributed control technique to simultaneously ac…
View article: A Fixed-Point Algorithm for the AC Power Flow Problem
A Fixed-Point Algorithm for the AC Power Flow Problem Open
This paper presents an algorithm that solves the AC power flow problem for balanced, three-phase transmission systems at steady state. The algorithm extends the "fixed-point power flow" algorithm in the literature to include transmission l…
View article: Low-Gain Stabilizers for Linear-Convex Optimal Steady-State Control
Low-Gain Stabilizers for Linear-Convex Optimal Steady-State Control Open
We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…
View article: Data-Driven Fast Frequency Control using Inverter-Based Resources
Data-Driven Fast Frequency Control using Inverter-Based Resources Open
We develop and test a data-driven and area-based fast frequency control scheme, which rapidly redispatches inverter-based resources to compensate for local power imbalances within the bulk power system. The approach requires no explicit sy…
View article: Data-Driven Model Predictive Control for Linear Time-Periodic Systems
Data-Driven Model Predictive Control for Linear Time-Periodic Systems Open
We consider the problem of data-driven predictive control for an unknown discrete-time linear time-periodic (LTP) system of known period. Our proposed strategy generalizes both Data-enabled Predictive Control (DeePC) and Subspace Predictiv…
View article: Game-Theoretic Feedback-Based Optimization
Game-Theoretic Feedback-Based Optimization Open
This paper examines the intersection between feedback-based optimization problems and distributed Nash equilibrium seeking algorithms. We consider a modification of typical GNE-seeking problems with affine coupling constraints, wherein eac…
View article: Diagonal Stability of Systems With Rank-1 Interconnections and Application to Automatic Generation Control in Power Systems
Diagonal Stability of Systems With Rank-1 Interconnections and Application to Automatic Generation Control in Power Systems Open
We study a class of matrices with a rank-1 interconnection structure, and derive a simple necessary and sufficient condition for diagonal stability. The underlying Lyapunov function is used to provide sufficient conditions for diagonal sta…
View article: Low-Gain Stability of Projected Integral Control for Input-Constrained Discrete-Time Nonlinear Systems
Low-Gain Stability of Projected Integral Control for Input-Constrained Discrete-Time Nonlinear Systems Open
We consider the problem of zeroing an error output of a nonlinear discrete-time system in the presence of constant exogenous disturbances, subject to hard convex constraints on the input signal. The design specification is formulated as a …
View article: On Stability of Automatic Generation Control
On Stability of Automatic Generation Control Open
Automatic generation control (AGC) is one of the oldest and most important feedback control systems in large-scale interconnected power grids, yet no general and rigorous closed-loop stability analysis is readily available in the literatur…
View article: Linear-Convex Optimal Steady-State Control
Linear-Convex Optimal Steady-State Control Open
We consider the problem of designing a feedback controller for a multivariable linear time-invariant system which regulates an arbitrary system output to the solution of an equality-constrained convex optimization problem despite unknown c…
View article: Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear Systems
Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear Systems Open
Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant e…
View article: A Dynamic Stability and Performance Analysis of Automatic Generation Control
A Dynamic Stability and Performance Analysis of Automatic Generation Control Open
Automatic generation control (AGC) is one of the most important coordinated control systems present in modern interconnected power systems. Despite being heavily studied, no interconnected dynamic stability and performance analysis of AGC …
View article: On Stability of Distributed-Averaging Proportional-Integral Frequency Control in Power Systems
On Stability of Distributed-Averaging Proportional-Integral Frequency Control in Power Systems Open
Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale sep…
View article: Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear Systems with Application to Feedback-Based Optimization
Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear Systems with Application to Feedback-Based Optimization Open
Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant e…
View article: Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear\n Systems
Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear\n Systems Open
Relaxed conditions are given for stability of a feedback system consisting of\nan exponentially stable multi-input multi-output nonlinear plant and an\nintegral controller. Roughly speaking, it is shown that if the composition of\nthe plan…
View article: Quadratic Performance Analysis of Secondary Frequency Controllers
Quadratic Performance Analysis of Secondary Frequency Controllers Open
This paper investigates the input-output performance of secondary frequency\ncontrollers through the control-theoretic notion of $H_2$ norms. We consider a\nquadratic objective accounting for the cost of reserve procurement and provide\nex…
View article: Towards robustness guarantees for feedback-based optimization
Towards robustness guarantees for feedback-based optimization Open
Feedback-based online optimization algorithms have gained traction in recent years because of their simple implementation, their ability to reject disturbances in real time, and their increased robustness to model mismatch. While the robus…