168 citations · 180 across the 10 of their papers we have counts for
12 papers
Minimizing transients via the Kreiss system norm
Pierre Apkarian, Dominikus Noll
We introduce system norms which assess transient behavior of stable Linear Time-Invariant (LTI) systems. This allows us to address undesired responses to initial conditions, finite…
Robust control of systems with hyperbolic partial differential equations
Pierre Apkarian, Dominikus Noll
We discuss strategies to bring -control techniques into play when the system dynamics are modeled by hyperbolic partial differential equations, or more generally, by syst…
Mixed -synthesis for -stability
Pierre Apkarian, Dominikus Noll
We consider stabilization and performance optimization of non-linear controlled systems, where the non-linearity satisfies a sector constraint asymptotically. This leads to optimiz…
Boundary feedback control of an anti-stable wave equation
Pierre Apkarian, Dominikus Noll
We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional -output feedback controllers whi…
Optimizing the Kreiss constant
P. Apkarian, D. Noll
The Kreiss constant of a stable matrix conveys information about the transient behavior of system trajectories in response to initial conditions. We present an efficient…
Optimization-based control design techniques and tools
P. Apkarian, D. Noll
Structured output feedback controller synthesis is an exciting recent concept in modern control design, which bridges between theory and practice in so far as it allows for the fir…
Boundary control of partial differential equations using frequency domain optimization techniques
Pierre Apkarian, Dominikus Noll
We present a frequency domain based -control strategy to solve boundary control problems for systems governed by parabolic or hyperbolic partial differential equation, wh…
Non-smooth optimization for robust control of infinite-dimensional systems
P. Apkarian, D. Noll, L. Ravanbod
We use a non-smooth trust-region method for -control of infinite-dimensional systems. Our method applies in particular to distributed and boundary control of partial diff…
Global Optimal Power Flow over Large-Scale Power Transmission Network
Y. Shi, H. D. Tuan, P. Apkarian +1
Optimal power flow (OPF) over power transmission networks poses challenging large-scale nonlinear optimization problems, which involve a large number of quadratic equality and inde…
Structured H-infinity control of infinite dimensional systems
P. Apkarian, D. Noll
We develop a novel frequency-based H-infinity control method for a large class of infinite-dimensional Linear-Time-Invariant systems in transfer function form. Major benefits of ou…
Nonsmooth trust-region algorithm with applications to robust stability of uncertain systems
Pierre Apkarian, Dominikus Noll, Laleh Ravanbod
We propose a bundle trust-region algorithm to minimize locally Lipschitz functions which are potentially nonsmooth and nonconvex. We prove global convergence of our method and show…
Parametric robust structured control design
P. Apkarian, M. N. Dao, D. Noll
We present a new approach to parametric robust controller design, where we compute controllers of arbitrary order and structure which minimize the worst-case norm over a…