Stabilizability of Vector Systems with Uniform Actuation Unpredictability

  title={Stabilizability of Vector Systems with Uniform Actuation Unpredictability},
  author={Rahul Arya and Chih-Yuan Chiu and Gireeja Ranade},
  journal={2021 IEEE International Symposium on Information Theory (ISIT)},
Control strategies for vector systems typically depend on the controller's ability to plan out future control actions. However, in the case where model parameters are random and time-varying, this planning might not be possible. This paper explores the fundamental limits of a simple system, inspired by the intermittent Kalman filtering model, where the actuation direction is drawn uniformly from the unit hypersphere. The model allows us to focus on a fundamental tension in the control of… 

Figures from this paper



Vector control systems with unpredictable actuation

A simple d-dimensional state-space model for an unpredictable “spinning” control system is considered, which lets us use dynamic programming to characterize the decay rate of the system and thus understand the fundamental limitations imposed by the fact that future control directions are unpredictable.

Control with actuation anticipation

A toy model with uncertain random actuation vectors is explored and the control capacity of the toy system can be stated in a way that is suggestive of a dimensional-sense of “signal-to-noise-ratio”.

Quantized feedback stabilization of linear systems

A new control design methodology is proposed, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves, which yields global asymptotic stability.

Minimum data rate for stabilization of linear systems with parametric uncertainties

A new class of nonuniform quantizers is found to be effective in reducing the required data rate and a necessary condition and a sufficient condition for stabilizing the closed-loop system.

Foundations of Control and Estimation Over Lossy Networks

This paper considers control and estimation problems where the sensor signals and the actuator signals are transmitted to various subsystems over a network and shows that for network protocols where successful transmissions of packets is acknowledged at the receiver, there exists a critical threshold of network reliability below which the optimal controller fails to stabilize the system.

Control capacity

  • G. RanadeA. Sahai
  • Computer Science
    2015 IEEE International Symposium on Information Theory (ISIT)
  • 2015
A notion of “control capacity” that gives a fundamental limit on the control of a system through an unreliable actuation channel is presented and a computable single-letter characterization for scalar systems with memoryless stationary multiplicative actuation channels is given.

Control under communication constraints

This paper forms a control problem with a communication channel connecting the sensor to the controller, and provides upper and lower bounds on the channel rate required to achieve different control objectives.

Online Optimal Control with Linear Dynamics and Predictions: Algorithms and Regret Analysis

This paper designs online algorithms, Receding Horizon Gradient-based Control (RHGC), that utilize the predictions through finite steps of gradient computations, and provides a fundamental limit of the dynamic regret for any online algorithms by considering linear quadratic tracking problems.

Compensatability and optimal compensation of systems with white parameters

The optimal compensation problem is considered in the case of linear discrete-time systems with stationary white parameters and quadratic criteria. A generalization of the notion of mean square