基于采样数据系统的PI加重置积分控制器的指数稳定性

Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems

According to the well-known loop-shaping control design approach, the steady-state precision of control systems can be improved by stacking integrators. However, due to the waterbed effect in linear control systems, such an action will worsen the transient response by increasing overshoot and creating wind-up problems. This paper presents a new architecture for rest control systems that can significantly decrease the overshoot and create a no-overshoot performance even in presence of stacked integrators. The steady-state analysis of the proposed system will also show that improved precision ex…

Steady-state nonlinearity of open-loop reset systems

In this paper, we introduce a new representation for open-loop reset systems. We show that at steady-state a reset integrator can be modelled as a parallel interconnection of the base-linear system and piece-wise constant nonlinearity. For sinusoidal input signals, this nonlinearity takes a form of a square wave. Subsequently, we show how the behaviour of a general open-loop reset system is related to the nonlinearity of a reset integrator. The proposed approach simplifies the analysis of reset elements in the frequency domain and provides new insights into the behaviour of reset control syste…

分数阶重置控制系统的基本性质与稳定性

Basic Properties and Stability of Fractional-Order Reset Control Systems

本文研究分数阶Clegg积分器（FCI）在重置控制中的应用，并将其与常用的一阶重置元件（FORE）和传统Clegg积分器（CI）进行性能比较，同时将重置控制系统的稳定性推广到分数阶情形。

Output Regulation of Linear Aperiodic Sampled-Data Systems

This paper deals with the output regulation problem of a linear time-invariant system in the presence of sporadically available measurement streams. A regulator with a continuous intersample injection term is proposed, where the intersample injection is provided by a linear dynamical system and the state of which is reset with the arrival of every new measurement updates. The resulting system is augmented with a timer triggering an instantaneous update of the new measurement and the overall system is then analyzed in a hybrid system framework. With the Lyapunov based stability analysis, we off…

Integral quadratic constraints for asynchronous sample-and-hold links

A model is proposed for a class of asynchronous sample-and-hold operators that is relevant in the analysis of embedded and networked systems. The model is parametrized by characteristics of the corresponding time-varying input-output delay. Uncertainty in the relationship between the timing of zero-order-hold update events at the output and the possibly aperiodic sampling events at the input means that the delay does not always reset to a fixed value. This is distinct from the well-studied synchronous case in which the delay intermittently resets to zero at output update times. The main result…

带有后处理内模型的随机采样数据系统输出调节

Output Regulation of Stochastic Sampled-Data Systems with Post-processing Internal Model

本文研究了随机采样测量下LTI系统的输出调节问题，提出了一种含混合观测器和后处理内模型的调节器，利用类Lyapunov定理给出均方指数稳定的充分条件，并通过LMI实现数值可解设计。