Design of State-Constrained Controllers for Bouc–Wen Hysteresis Systems

This study investigates the design of stateconstrained stabilizing controllers for hysteresis control systems with the classical Bouc-Wen model. A novel hysteresis estimator is developed to estimate the virtual hysteresis state. The effect of the estimation error on the system is suppressed by using the.....gain control approach. We use a barrier function to prevent violation of state constraints. With the help of barrier functions, stateconstrained stabilizing controllers can be built by solving linear matrix inequalities. Sufficient conditions for the existence of state-constrained controllers are derived. Finally, a numerical example demonstrates the effectiveness and applicability of the developed control strategy.