Fault diagnosis for linear heterodirectional hyperbolic ODE–PDE systems using backstepping-based trajectory planning

Control of 2× 2 Linear Hyperbolic Systems: Backstepping-Based Trajectory Generation and PI-Based Tracking

We consider the problems of trajectory generation and tracking for general 2 × 2 systems of first-order linear hyperbolic PDEs with anti-collocated boundary input and output. We solve the trajectory generation problem via backstepping. The reference input, which generates the desired output, incorporates integral operators acting on advanced and delayed versions of the reference output with ker...

Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems

Estimation of boundary parameters in general heterodirectional linear hyperbolic systems

In this paper, we extend recent results on state and boundary parameter estimation in coupled systems of linear partial differential equations (PDEs) of the hyperbolic type consisting of n rightward and one leftward convecting equations, to the general casewhich involves an arbitrary number of PDEs convecting in both directions. Two adaptive observers are derived based on swapping design, where...

Fault Diagnosis for Linear Systems

This chapter outlines the basic principles and most important approaches of modelbased fault detection and isolation (FDI) and, to a certain degree, fault diagnosis, using linear models. Both the parity space approach and the concept of observer-based residual generation are described in input-output format. The well established parameter estimation approach to fault analysis is briefly describ...

Minimum time control of heterodirectional linear coupled hyperbolic PDEs

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems. Considered systems feature an arbitrary number of coupled transport PDEs convecting in either direction. Using the backstepping approach, we derive a full-state feedback law and a boundary observer enabling stabilization by output feedback. Unlike previous results, finitetime convergence to zero is ach...