This article is concerned with the rate bumpless transfer control issue for switched linear systems with stability. The rate bumpless transfer performance of switched systems is defined for the first time. By joint-design of a switching logic and a series of dynamic output feedback controllers, a rate bumpless transfer control scheme is offered to address the rate bumpless transfer control issue of the systems with stability. A criterion ensuring both the rate bumpless transfer performance and stability of the systems is formed. As a class of complex nonlinear systems, aero-engine control systems can hardly be described by any accurate mathematical models. Switched linear models are often used to describe aero-engine control systems due to their flexibility and reliability. For aero-engines control systems, bumpless transfer is particular important and must be guaranteed. Thus, the proposed rate bumpless transfer control strategy is applied to the control design of an aero-engine control systems. Finally, an experiment on the aero-engine is implemented, showing the effectiveness and applicability of the theoretical results.

A control scheme is developed to estimate and then restrain the unavailable disturbance input of switched systems (SSs), while ruling out the large and sudden jumps in the control input. The suppression on the unavailable disturbance and that on the oscillations in the control input are measured by H∞ anti-disturbance (AD) property and bumpless transfer (BT) property, respectively. Through construction of a switching rule, a disturbance observer together with a controller, a sufficient condition is obtained to ensure the H∞ AD property and the BT performance. At last, a verification of the developed control scheme is offered by adjusting the power voltage of a switched RLC circuit model.

This article aims at proposing a regulation anti-disturbance control scheme for switched systems encountered by multiple disturbances, including the measurable disturbance and unmeasurable disturbance, through a multiple Lyapunov functions method. A switched estimator is developed for estimating the unmeasurable disturbance, under which a switched regulator and a switching law are co-designed to regulate the system output, while resisting the influence of the disturbances on the switched systems. Sufficient conditions are provided to ensure the output regulation performance and the disturbance restrain performance for the switched systems, even if all subsystems may not have the performances. These conditions are also appropriate for non-switched systems. By applying the established regulation anti-disturbance control method to the regulation of the speed for an engine model, the validity of the control scheme is displayed.

This study concentrates on the bumpless transfer control problem for a category of switched fuzzy systems with $L_2$ -gain property. A description of the bumpless transfer performance for switched fuzzy systems is introduced for the first time. A general multiple Lyapunov functions strategy is exploited to solve the bumpless transfer control problem of the switched fuzzy systems with $L_2$ -gain property. The multiple Lyapunov functions scheme allows the disconnection of the successive Lyapunov functions when a switching happens. A criterion on the bumpless transfer performance with the $L_2$ -gain property is established, allowing each subsystem satisfy neither the bumpless transfer performance nor the $L_2$ -gain property. Moreover, when only the $L_2$ -gain property is considered, the condition is mildly expressed in terms of matrix inequalities rather then the usual combination of matrix inequalities and matrix equalities. Finally, an example of controlling a mass-spring-damping model is offered to validate the effectiveness of the developed control strategy.