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This paper proposes the use of canonical piecewise affine (PWA) functions for the approximation of linear MPC controllers over a regular simplicial partition of a given set of states of interest. Analysis tools based on the construction of PWA Lyapunov functions are provided for certifying the asymptotic stability of the resulting closed-loop system. The main advantage of the proposed controller synthesis...
A design method is proposed for output-feedback control of linear systems subject to state and control constraints, additive disturbances and measurement noise. First, necessary and sufficient conditions for a polyhedral set to be controlled-invariant under output-feedback are presented, which can be checked by the solution of a set of Linear Programming problems. Then, a dynamic output-feedback compensator...
This work, presents the design of a Joint State-Mode observer for SLS, where the state of both parts, continuous and discrete, are observed The continuous part is represented by a family of linear systems (LS) and the discrete part is represented by an interpreted Petri net (IPN), enlarging the class of systems that can be represented and adding structural information to the system. The design of...
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