Robust Control and Model Predictive Control Advances

The field of control systems is moving towards the development of more robust and adaptive control strategies, with a focus on handling uncertainties and nonlinear dynamics. Recent work has explored the use of integral quadratic constraints (IQCs) to model and synthesize robust controllers for discrete-time systems, as well as the development of disturbance-adaptive model predictive control (MPC) frameworks. These advances have the potential to improve the performance and reliability of control systems in a wide range of applications. Notable papers in this area include:

  • A novel framework for multi-objective robust controller synthesis using IQCs, which can minimize closed-loop performance measures such as the H∞-norm and energy-to-peak gain.
  • A disturbance-adaptive MPC framework that adjusts the disturbance model based on measured constraint violations, ensuring recursive feasibility and asymptotic bounds on average constraint violations.
  • A probabilistic extension to Pontryagin's maximum principle, which minimizes the mean Hamiltonian with respect to epistemic uncertainty and provides a principled framework for controlling uncertain systems with learned dynamics.

Sources

Multi-objective robust controller synthesis with integral quadratic constraints in discrete-time

Design and Analysis of a Robust Control System for Triple Inverted Pendulum Stabilization

Disturbance-adaptive Model Predictive Control for Bounded Average Constraint Violations

Output-feedback model predictive control under dynamic uncertainties using integral quadratic constraints

A Parametric Model for Near-Optimal Online Synthesis with Robust Reach-Avoid Guarantees

Probabilistic Pontryagin's Maximum Principle for Continuous-Time Model-Based Reinforcement Learning

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