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Inverse Optimal Cardano-Lyapunov Feedback for PDEs with Convection
In particular, we consider some classes of partial differential equations (PDEs) with quadratic convection and counter-convection, for which the L2 norm is a control Lyapunov function (CLF) whose derivative has either a depressed cubic or a quadratic dependence in the boundary control input.
From Sontag s to Cardano-Lyapunov Formula for Systems Not Affine in the Control: Convection-Enabled PDE Stabilization
We propose the first generalization of Sontag s universal controller to systems not affine in the control, particularly, to PDEs with boundary actuation.
Adaptive Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Sensing
In particular, when the forcing term is null, we guarantee global exponential stability of the origin.
Convection-Enabled Boundary Control of a 2D Channel Flow
Moreover, we consider no-slip boundary conditions on the tangential velocity at the top and bottom walls of the channel, and normal velocity actuation at the top and bottom walls.
Improving a Proportional Integral Controller with Reinforcement Learning on a Throttle Valve Benchmark
This paper presents a learning-based control strategy for non-linear throttle valves with an asymmetric hysteresis, leading to a near-optimal controller without requiring any prior knowledge about the environment.
