Comparing multivariable uncertain model structures for data-driven robust control: Visualization and application to a continuously variable transmission

The selection of uncertainty structures is an important aspect of system identification for robust control. The aim of this paper is to provide insight into uncertain multivariable systems for robust control. A unified method for visualizing model sets is developed by generating Bode plots of multivariable uncertain systems, both in magnitude...

Distributionally Robust Abstraction and Strategy Synthesis with Formal Guarantees

There is growing interest to control cyber-physical systems under complex specifications while retaining formal performance guarantees. In this thesis we present a framework for formal control of uncertain systems under complex specifications. We consider dynamical systems with random disturbances, whose probability distribution is unknown. When...

Bode Analysis of Uncertain Multivariable Systems

Bode plots are crucial for frequency domain analysis of SISO systems. The aim of this paper is to develop a complete approach for Bode plots of multivariable uncertain systems for both the magnitude and phase. The magnitude is based on the singular values. The phase is based on the phase spread of the numerical range. An IQC-based approach is...

Topology-independent robust stability for networks of homogeneous MIMO systems

We study dynamic networks described by a directed graph where the nodes are associated with MIMO systems with transfer-function matrix F(s), representing individual dynamic units, and the arcs are associated with MIMO systems with transfer-function matrix G(s), accounting for the dynamic interactions among the units. In the nominal case, we...

Region-Based Self-Triggered Control for Perturbed and Uncertain Nonlinear Systems

In this work, we derive a region-based self-triggered control (STC) scheme for nonlinear systems with bounded disturbances and model uncertainties. The proposed STC scheme is able to guarantee different performance specifications (e.g. stability, boundedness, etc.), depending on the event-triggered control (ETC) triggering function that is...

Adaptive Control of Soft Robots Based on an Enhanced 3D Augmented Rigid Robot Matching

Despite having proven successful in generating precise motions under dynamic conditions in highly deformable soft-bodied robots, model based techniques are also prone to robustness issues connected to the intrinsic uncertain nature of the dynamics of these systems. This letter aims at tackling this challenge, by extending the augmented rigid...

Topology-Independent Robust Stability Conditions for Uncertain MIMO Networks

We give a sufficient and a necessary condition for the topology-independent robust stability of networked systems formed by uncertain MIMO systems. Both conditions involve constants associated with the nominal node dynamics and arc interconnection matrices, the uncertainty bounds, and the maximum connectivity degree of the network; they are...

Learning Optimal Controllers for Linear Systems with Multiplicative Noise via Policy Gradient

The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all recent work in this area, we consider multiplicative noise models, which are increasingly relevant because...

Adaptive Control of Soft Robots Based on an Enhanced 3D Augmented Rigid Robot Matching

Despite having proven successful in generating precise motions under dynamic conditions in highly deformable soft-bodied robots, model based techniques are also prone to robustness issues connected to the intrinsic uncertain nature of the dynamics of these systems. This letter aims at tackling this challenge, by extending the augmented rigid...

Smarter Charging: Modeling optimal EV charging in solar parking lots for reducing peak demand, considering uncertainty in solar power forecasting and EV energy demand

Smart charging offers the potential for electric vehicles to use renewable energy more efficiently, lowering costs and improving the stability of the electricity grid. Many computer models have been developed to simulate the behavior of smart charging. Yet these models often assume that future information is known perfectly, including when...

Adaptive Synchronization over Uncertain Multi-Agent Systems: A distributed homogenization-based approach

A challenging task in synchronization of multi-agent systems is steering the network towards a coherent solution when the dynamics of the constituent systems are heterogeneous and residing in a possibly large uncertainty set. In this situation, synchronization can be achieved via adaptive protocols (with adaptive feedback gains, or adaptive...

Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

We analyze adaptive synchronization capabilities in networks with Kuramoto-like units whose dynamical features are unknown and thus synchronization protocols must exhibit co-evolution capabilities. In the presence of heterogeneous and uncertain units, synchronization should be enabled by appropriate adaptive protocols that counteract the...

Fault Detection and Isolation for Linear Dynamical Systems

Safety and reliability of a dynamical system is a concern that have always pursued designers in both academia and industry. Monitoring the health status of a system is even more relevant for safety critical applications, such as chemical and nuclear plants, medicine, transportation, and security systems. The occurrence of abnormal events on...