Switched systems with multiple invariant sets

Analysis and Design of Discretely Controlled Switched Positive Systems

Discretely controlled switched positive systems are characterized by interacting continuous and discrete dynamics. Switching must take place not only to move the continuous state from the initial state to a goal state, but also to make the system remain in the surroundings of the goal state. The continuous dynamics are positive. This paper shows that if the continuous positive systems making up...

The Maximal Controlled Invariant Set of Switched Linear Systems

We study the construction of the maximal controlled invariant set of switched linear systems. We consider two cases, based on whether fast switches are allowed or not. For both cases, iterative algorithms are given to construct such sets.

On the algebraic characterization of invariant sets of switched linear systems

In this paper, a suitable LaSalle principle for continuous-time linear switched systems is used to characterize invariant sets and their associated switching laws. An algorithm to determine algebraically these invariants is proposed. The main novelty of our approach is that we require no dwell time conditions on the switching laws. By not focusing on restricted control classes we are able to de...

Fuzzy sets form A meta-system-theoretic point of view

Invariance Control Synthesis for Switched Systems: An Interval Analysis Approach

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partitionbased invariance controller using the information recorded during the computation. In contrast with Lyapunov-based control methods, this method does not require the subsystems t...