Symbolic Models and Control of Discrete-Time Piecewise Affine Systems: An Approximate Simulation Approach

Details Symbolic Models and Control of Discrete-Time Piecewise Affine Systems: An Approximate Simulation Approach Symbolic Models and Control of Discrete-Time Piecewise Affine Systems: An Approximate Simulation Approach

2012-02-07

arxiv.org/abs/1202.1372v1

Computer Science

Systems and Control

12 pages, 1 figure

Scientific paper

Symbolic models have been recently used as a sound mathematical formalism for the formal verification and control design of purely continuous and hybrid systems. In this paper we propose a sequence of symbolic models that approximates a discrete-time Piecewise Affine (PWA) system in the sense of approximate simulation and converges to the PWA system in the so-called simulation metric. Symbolic control design is then addressed with specifications expressed in terms of non-deterministic finite automata. A sequence of symbolic control strategies is derived which converges, in the sense of simulation metric, to the maximal controller solving the given specification on the PWA system.

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