Trajectory Tracking Control of Bimodal Piecewise Affine Systems

Fault Tolerant Control for Bimodal Piecewise Affine Systems

Fault Tolerant Control for Bimodal Piecewise Affine Systems

On well-posedness of piecewise affine bimodal dynamical systems

The theory of differential inclusions provides certain sufficient conditons for the uniqueness of Filippov solutions such as one-sided Lipschitzian property or maximal monotone condition. When applied to piecewise affine dynamical systems, these conditions impose rather strong conditions. In this paper, we provide less restrictive conditions for uniqueness of Filippov solutions for the bimodal ...

Observer-Based Control of Piecewise-Affine Systems

This paper presents a new synthesis method for both state and dynamic output feedback control of a class of hybrid systems called piecewise-affine (PWA) systems. The synthesis procedure delivers stabilizing controllers that can be proven to give either asymptotic or exponential convergence rates. The synthesis method builds on existing PWA stability analysis tools by transforming the design int...

Control of Discrete-time Piecewise Affine Systems

In this paper we propose a new approach for the control of discrete-time piecewise affine hybrid systems on full-dimensional polytopes. The new strategy is divided into a local and a supervisory control problem. The local problem is to reach and cross one facet of a polytope ensuring that the next sample of the time-discrete trajectory is picked up in the adjacent polytope. Therefore, a local p...

Planar Bimodal Piecewise Linear Systems