Year: 2021
Type: article
Abstract: A new approach to feedback control design based on optimal control is proposed. Instead of expensive computations of the value function for different penalties on the states and inputs, we use a control Lyapunov function that amounts to be a value function of an optimal control problem with suitable cost design and then study combinations of input and state penalty that are compatible with this value function. This drastically simplifies the role of the Hamilton-Jacobi-Bellman equation, since it is no longer a partial differential equation to be solved, but an algebraic relationship between different terms of the cost. This letter illustrates this idea in different examples, includingH∞control and optimal control of coupled oscillators.
Source: IEEE Control Systems Letters
Authors: Taouba Jouini, Anders Rantzer
Institution: Lund University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Awards: G6219513568, G937907017
OpenAlex ID: W3152326723