Plant with integrator: an example of reset control overcoming limitations of linear feedback

In most literature related to reset control, the reset actions are triggered by continuous monitoring triggering reset conditions, which is not suitable for computer-based implementation. This paper considers periodic triggering reset control, where the reset actions are only triggered at periodically sampling instants. Hybrid system approach is given to analyze the asymptotic stability and L 2 gain property, and less conservative switched system approach is presented for asymptotic stability analysis. The comparison of the two approaches is discussed. Moreover, novel reset conditions are given to improve the overshoot performance. Simulations are presented to support our results.

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“…Definition 3 [3]: The overshoot for the system (3) is defined as the maximum value by which the output exceeds its final set point value:…”

Section: Improving Overshoot Performancementioning

confidence: 99%

“…Horowitz [2] proposed a new reset device called First Order Reset Element (FORE) which includes an extra pole compared with Clegg integrator and a two-step systematic design procedure was given. In [3,4], numerical examples were given to show that reset control can overcome some performance limitations of linear control.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of periodic triggering reset control systems

Zhao

Wang

Zhang

2015

Int. J. Control Autom. Syst.

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“…Note that there are situations when certain closed-loop performance specifications cannot be achieved with any linear feedback controller whereas they are achievable with a hybrid controller, see [2]. A switched controller designed via Lyapunov approach in [4] is employed to control a power converter system in [23] and it was shown to provide better performance on transient and steady dynamics than continuous PID controllers.…”

Section: Modelsmentioning

confidence: 99%

Input-to-state stability for a class of hybrid dynamical systems via averaging

Wang

Nešić

Teel

2011

Math. Control Signals Syst.

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Input-to-state stability (ISS) properties for a class of time-varying hybrid dynamical systems via averaging method are considered. Two definitions of averages, strong average and weak average, are used to approximate the time-varying hybrid systems with time-invariant hybrid systems. Closeness of solutions between the timevarying system and solutions of its weak or strong average on compact time domains is given under the assumption of forward completeness for the average system. We also show that ISS of the strong average implies semi-global practical (SGP)-ISS of the actual system. In a similar fashion, ISS of the weak average implies semi-global practical derivative ISS (SGP-DISS) of the actual system. Through a power converter example, we show that the main results can be used in a framework for a systematic design of hybrid feedbacks for pulse-width modulated control systems.

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“…The importance of hybrid systems in control systems analysis and design have been growing in the last decades, due mainly to their presence in practical systems and to overcome performance limitations of more classical controllers, i.e., regular linear or nonlinear controllers (see, e.g., [1][2][3]). Reset systems represent a particular class of hybrid systems, see [4][5][6][7][8][9]. An interesting sub-class of hybrid systems is the class of linear systems with finite state jumps.…”

Section: Introductionmentioning

confidence: 99%