Optimal control of sampled-data piecewise affine systems

Authors:
Jun-Ichi Imura
Affiliations:
Department of Mechanical and Environmental Informatics, Graduate School of Information Science and Engineering, Tokyo Institute of Technology, 1-12-1 Oh-Okayama, Meguro-ku, Tokyo 152-8552, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2004

Citing 3
Cited 1

Verification of Hybrid Systems via Mathematical Programming

HSCC '99 Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
Control of systems integrating logic, dynamics, and constraints

Automatica (Journal of IFAC)
Explicit sub-optimal linear quadratic regulation with state and input constraints

Automatica (Journal of IFAC)

Synthesis of optimal controllers for piecewise affine systems with sampled-data switching

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

This paper discusses the optimal continuous-time control problem of a class of piecewise affine (PWA) systems, where the switching action of the discrete state is determined at each sampling time according to a condition on the continuous state. Such a system is called here the sampled-data PWA (SD-PWA) system. First, important remarks on the control design of this system via the continuous-(or discrete-)time PWA model are pointed out, which motivate us to use the SD-PWA model. Next, based on the good properties of the proposed model, an optimal continuous-time controller of the SD-PWA systems is proposed.