Survey paper: Minimum variance prediction and control for adaptive optics
Adaptive Optics (AO) systems enable to compensate the adverse effects of atmospheric turbulence on ground-based telescopes' images in real time, using a deformable mirror (DM) inserted in the telescope's optical path, and measurements provided by a ...
Maximum likelihood estimation of Gaussian models with missing data-Eight equivalent formulations
In this paper we derive the maximum likelihood problem for missing data from a Gaussian model. We present in total eight different equivalent formulations of the resulting optimization problem, four out of which are nonlinear least squares formulations. ...
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop a framework for model reduction of large-scale multi-input/multi-output port-...
System identification for achieving robust performance
The performance of robust controllers hinges on the underlying model set. The aim of the present paper is to develop a system identification procedure that enables the design of a controller that achieves optimal robust performance. Hereto, the complex ...
Two consensus problems for discrete-time multi-agent systems with switching network topology
In this paper, we study both the leaderless consensus problem and the leader-following consensus problem for linear discrete-time multi-agent systems under switching network topology. Under the assumption that the system matrix is marginally stable, we ...
Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems
We perform a Lyapunov stability analysis of a special class of 2-D systems, those for which one of the independent variables plays a distinguished role. We show how to construct Lyapunov functionals for this class using LMIs. We also apply our results ...
Extended Kalman filtering with stochastic nonlinearities and multiple missing measurements
In this paper, the extended Kalman filtering problem is investigated for a class of nonlinear systems with multiple missing measurements over a finite horizon. Both deterministic and stochastic nonlinearities are included in the system model, where the ...
Multi-rate distributed fusion estimation for sensor networks with packet losses
This paper presents a distributed fusion estimation method for estimating states of a dynamical process observed by wireless sensor networks (WSNs) with random packet losses. It is assumed that the dynamical process is not changing too rapidly, and a ...
Input/output-to-state stability and state-norm estimators for switched nonlinear systems
In this paper, the concepts of input/output-to-state stability (IOSS) and state-norm estimators are considered for switched nonlinear systems under average dwell-time switching signals. We show that when the average dwell-time is large enough, a ...
Periodic excitations of bilinear quantum systems
A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional ...
On K-diagnosability of Petri nets via integer linear programming
This paper deals with the problem of diagnosability of a fault after the firing of a finite number events (i.e., K-diagnosability). This problem corresponds to diagnosability of a fault within a finite delay in the context of discrete event systems. The ...
Nonlinear offset-free model predictive control
This paper addresses offset-free reference tracking of asymptotically constant reference signals using Model Predictive Control. Existing results for linear models are extended to general nonlinear models. The core of the proposed method employs a ...
Robust diagnosis of discrete event systems against intermittent loss of observations
In the usual approaches to fault diagnosis of discrete event systems it is assumed that not only all sensors work properly but also all information reported by sensors always reaches the diagnoser. Any bad sensor operation or communication failure ...
Identification of spatiotemporally invariant systems for control adaptation
We present a distributed projection algorithm for system identification of spatiotemporally invariant systems with the ultimate purpose of utilizing it in an indirect adaptive control scheme. Each subsystem communicates only with its immediate neighbors ...
Distributed control of multi-agent systems with random parameters and a major agent
Distributed control of the multi-agent systems involving a major agent and a large number of minor agents is investigated in this paper. There exist Markov jump parameters in the dynamic equation and random parameters in the index functions. The major ...
Variable selection via RIVAL (removing irrelevant variables amidst Lasso iterations) and its application to nuclear material detection
In many situations, the number of data points is fixed, and the asymptotic convergence results of popular model selection tools may not be useful. A new algorithm for model selection, RIVAL (removing irrelevant variables amidst Lasso iterations), is ...
Optimal control computation for nonlinear systems with state-dependent stopping criteria
In this paper, we consider a challenging optimal control problem in which the terminal time is determined by a stopping criterion. This stopping criterion is defined by a smooth surface in the state space; when the state trajectory hits this surface, ...
R(λ) imitation learning for automatic generation control of interconnected power grids
The goal of average reward reinforcement learning is to maximize the long-term average rewards of a generic system. This coincides with the design objective of the control performance standards (CPS) which were established to improve the long-term ...
Partial-period adaptive repetitive control by symmetry
This paper presents a partial-period adaptive repetitive control method for a class of periodically time-varying nonlinear systems. To reduce the size of memory usage, the symmetric feature of periodic parameters is explored to form partial-period ...
On the estimation of structured covariance matrices
This paper discusses a method for estimating the covariance matrix of a multivariate stationary process w generated as the output of a given linear filter fed by a stationary process y. The estimated covariance matrix must satisfy two constraints: it ...
A Youla-Kucera parametrized adaptive feedforward compensator for active vibration control with mechanical coupling
Most of the adaptive feedforward vibration (or noise) compensation systems feature an internal ''positive feedback'' coupling between the compensator system and the correlated disturbance measurement which serves as reference. This may lead to the ...
Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems
For all the stable first order plus time delay (FOPTD) systems, a fractional order proportional integral (FOPI) or a traditional integer order proportional integral derivative (IOPID) controller can be designed to fulfill a flat phase constraint and two ...
On the effects of redundant control inputs
This paper considers effects of redundant control inputs on system performance. A necessary and sufficient condition for strict decrease of the quadratic performance index with input extension is introduced. For the non-strict decrease cases, the ...
Characterization and computation of disturbance invariant sets for constrained switched linear systems with dwell time restriction
This paper introduces the concept and characterization of Disturbance-Dwell-Time invariance (DDT-invariance) and Constraint Admissible DDT-invariance (CADDT-invariance) for constrained systems with additive disturbance under dwell-time switching. Using ...
Approximate stochastic annealing for online control of infinite horizon Markov decision processes
We present an online simulation-based algorithm called Approximate Stochastic Annealing (ASA) for solving infinite-horizon finite state-action space Markov decision processes (MDPs). The algorithm estimates the optimal policy by sampling at each ...
Hammerstein system identification using nuclear norm minimization
This paper presents a new method for the identification of Hammerstein systems. The parameter estimation problem is formulated as a rank minimization problem by constraining a finite dimensional time dependency between signals. Due to the unknown ...
On an intrinsic formulation of time-variant Port Hamiltonian systems
In this contribution we present an intrinsic description of time-variant Port Hamiltonian systems as they appear in modeling and control theory. This formulation is based on the splitting of the state bundle and the use of appropriate covariant ...
State deadbeat control of nonlinear systems: Construction via sets
A geometric generalization of the discrete-time linear deadbeat control problem is studied. The proposed method to generate a deadbeat tracker for a given nonlinear system is constructive and makes use of sets that can be computed iteratively. For ...
Positive trigonometric polynomials for strong stability of difference equations
We follow a polynomial approach to analyse strong stability of continuous-time linear difference equations with several delays. Upon application of the Hermite stability criterion on the discrete-time homogeneous characteristic polynomial, assessing ...