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To stick or to slip: A reset PID control perspective on positioning systems with friction
We overview a recent research activity where suitable reset actions induce stability and
performance of PID-controlled positioning systems suffering from nonlinear frictional effects …
performance of PID-controlled positioning systems suffering from nonlinear frictional effects …
Lyapunov-based sufficient conditions for exponential stability in hybrid systems
Lyapunov-based sufficient conditions for exponential stability in hybrid systems are
presented. The focus is on converting non-strict Lyapunov conditions, having certain …
presented. The focus is on converting non-strict Lyapunov conditions, having certain …
Weighted homogeneity and robustness of sliding mode control
General features of finite-time-stable (FTS) homogeneous differential inclusions (DIs) are
investigated in the context of sliding-mode control (SMC). The continuity features of the …
investigated in the context of sliding-mode control (SMC). The continuity features of the …
Analysis and synthesis of reset control systems
This survey monograph overviews a large core of research results produced by the authors
in the past decade about reset controllers for linear and nonlinear plants. The corresponding …
in the past decade about reset controllers for linear and nonlinear plants. The corresponding …
On singular perturbations due to fast actuators in hybrid control systems
A stability result is given for hybrid control systems singularly perturbed by fast but
continuous actuators. If a hybrid control system has a compact set globally asymptotically …
continuous actuators. If a hybrid control system has a compact set globally asymptotically …
Lyapunov theory for Zeno stability
Zeno behavior is a dynamic phenomenon unique to hybrid systems in which an infinite
number of discrete transitions occurs in a finite amount of time. This behavior commonly …
number of discrete transitions occurs in a finite amount of time. This behavior commonly …
Finite-gain Lp stability for hybrid dynamical systems
We characterize the finite-gain Lp stability properties for hybrid dynamical systems. By
defining a suitable concept of the hybrid Lp norm, we introduce hybrid storage functions and …
defining a suitable concept of the hybrid Lp norm, we introduce hybrid storage functions and …
Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems
We propose a class of locally Lipschitz functions with piecewise structure for use as
Lyapunov functions for hybrid dynamical systems. Subject to some regularity of the …
Lyapunov functions for hybrid dynamical systems. Subject to some regularity of the …
Lyapunov-based hybrid loops for stability and performance of continuous-time control systems
We construct hybrid loops that augment continuous-time control systems. We consider a
continuous-time nonlinear plant in feedback with a (possibly non stabilizing) given nonlinear …
continuous-time nonlinear plant in feedback with a (possibly non stabilizing) given nonlinear …
Hybrid systems with state-triggered jumps: Sensitivity-based stability analysis with application to trajectory tracking
M Rijnen, JJB Biemond… - … on Automatic Control, 2019 - ieeexplore.ieee.org
The definition of asymptotic stability for a trajectory of a hybrid system with state-triggered
jumps is not straightforward. Nearby solutions jump at close but noncoincident times, making …
jumps is not straightforward. Nearby solutions jump at close but noncoincident times, making …