6 papers
Impulse-to-Peak-Output Norm Optimal State-Feedback Control of Linear PDEs
Tristan Thomas, Sachin Shivakumar, Javad Mohammadpour Velni
Impulse-to-peak response (I2P) analysis for state-space ordinary differential equation (ODE) systems is a well-studied classical problem. However, the techniques employed for I2P o…
Simulating Arbitrage Optimization for Market Monitoring in Gas and Electricity Transmission Networks
Noah Rhodes, Sachin Shivakumar, Luke S. Baker +2
We examine market outcomes in energy transport networks with a focus on gas-fired generators, which are producers in a wholesale electricity market and consumers in the natural gas…
-Optimal Estimation of Linear Delayed and PDE Systems
Danio Braghini, Sachin Shivakumar, Matthew M. Peet
The norm is a commonly used performance metric in the design of estimators. However, -optimal estimation of most PDEs is complicated by the lack of transfer function and…
Dual Representations and -Optimal Control of Partial Differential Equations
Sachin Shivakumar, Amritam Das, Matthew Peet
We consider $\hinf$-optimal state-feedback control of the class of linear Partial Differential Equations (PDEs) which admit a Partial Integral Equation (PIE) representation. While…
PIETOOLS 2025: User Manual
Sachin Shivakumar, Declan Jagt, Danilo Braghini +3
The PIETOOLS 2025 User Manual describes all the features of version 2025 of the MATLAB toolbox PIETOOLS for the analysis and control of Partial Integral Equations (PIEs). The manua…
Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks
Luke S. Baker, Sachin Shivakumar, Dieter Armbruster +2
We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We…