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Reference governor for constrained piecewise affine systems

✍ Scribed by Francesco Borrelli; Paolo Falcone; Jaroslav Pekar; Greg Stewart

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
393 KB
Volume
19
Category
Article
ISSN
0959-1524

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✦ Synopsis

We present a methodology for designing reference tracking controllers for constrained, discrete-time piecewise affine systems. The approach follows the idea of reference governor techniques where the desired set-point is filtered by a system called the ''reference governor". Based on the system current state, set-point, and prescribed constraints, the reference governor computes a new set-point for a low-level controller so that the state and input constraints are satisfied and convergence to the original set-point is guaranteed.

In this note we show how to design a reference governor for constrained piecewise affine systems by using polyhedral invariant sets, reachable sets, multiparametric programming and dynamic programming techniques.

πŸ“œ SIMILAR VOLUMES

Command governors for constrained nonlin
Command governors for constrained nonlinear systems: direct nonlinear vs. linearization-based strategies
✍ David Angeli; Alessandro Casavola; Edoardo Mosca πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 228 KB

Two command governors (CG) are described for solving set-point tracking problems for nonlinear systems when pointwise-in-time input and/or state related inequality constraints have to be ful"lled. A CG is a nonlinear device which is added to a primal compensated system. The CG action, based on the c