Model Predictive Control Based on Linear Parameter-Varying Models of Active Magnetic Bearing Systems

Constrained Model Predictive Control on Convex Polyhedron Stochastic Linear Parameter Varying Systems

The problem of constrained model predictive control on a class of stochastic linear parameter varying systems is discussed. First, constant coefficient matrices are obtained at each vertex in the interior of system, and then, by considering semi-definite programming constraints, weight coefficients between each vertex are calculated, and the equal coefficient matrices for the time variant syste...

Explicit Model Predictive Control for Systems with Linear Parameter-Varying State Transition Matrix

In this paper we propose a closed-loop min-max MPC algorithm based on dynamic programming, to compute explicit control laws for systems with a linear parameter-varying state transition matrix. This enables the controller to exploit parameter information to improve performance compared to a standard robust approach where no uncertainty knowledge is used, while keeping the benefits of fast online...

Adaptive model predictive control for constrained, linear time varying systems

We consider a discrete-time, linear time varying (LTV), multiple input, multiple output (MIMO) system with nu inputs and ny outputs. The system is known to be asymptotically stable, but the exact dynamics and the way they change over time are not known. We denote the vector of control inputs at time step t ∈ Z by u(t) = [u1(t), . . . , unu(t)] T , where ui(t) ∈ R, i = 1, . . . , nu are the indi...

Model Based Predictive Control for Linear Systems

Linear Parameter-varying Anti-windup Control for Active Microgravity Isolation

In this paper a linear parameter-varying (LPV) anti-windup approach is applied to provide anti-windup compensation for adaptive active microgravity vibration isolation. For such systems, anti-windup protection is required because of actuator saturation in response to inertially based forces acting on the isolated platform. For the example presented in the paper, a static anti-windup compensator...