access icon free Discrete-time triggered reset law design based on model predictive strategy for linear systems

This study investigates discrete-time triggered reset law design for linear systems in order to adapt reset control to computer-based implementation. The reset actions are triggered at discrete sampling times if predefined reset conditions are satisfied, and reset law is used to determine reset values of the controller states. A discrete-time switched system model of the reset control systems is established, then, a model predictive strategy is proposed to design the reset law by solving a linear matrix inequality optimisation problem. Moreover, the proposed method is extended to observer-based reset law design. The obtained results are applied to numerical example and typical continuous stirred tank reactor system, simulations show that the proposed design is effective.

Inspec keywords: predictive control; control system synthesis; optimisation; switching systems (control); linear systems; linear matrix inequalities; discrete time systems; sampling methods

Other keywords: reset control system; discrete-time switched system model; model predictive strategy; linear systems; discrete time triggered reset law design; discrete sampling time; linear matrix inequality optimisation problem; reset value determination; computer-based implementation

Subjects: Control system analysis and synthesis methods; Optimisation techniques; Optimal control; Other topics in statistics; Discrete control systems; Linear control systems; Time-varying control systems; Linear algebra (numerical analysis)

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