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Bayesian Optimization with Safety Constraints: Safe and Automatic Parameter Tuning in Robotics (1602.04450v3)

Published 14 Feb 2016 in cs.RO, cs.LG, and cs.SY

Abstract: Robotic algorithms typically depend on various parameters, the choice of which significantly affects the robot's performance. While an initial guess for the parameters may be obtained from dynamic models of the robot, parameters are usually tuned manually on the real system to achieve the best performance. Optimization algorithms, such as Bayesian optimization, have been used to automate this process. However, these methods may evaluate unsafe parameters during the optimization process that lead to safety-critical system failures. Recently, a safe Bayesian optimization algorithm, called SafeOpt, has been developed, which guarantees that the performance of the system never falls below a critical value; that is, safety is defined based on the performance function. However, coupling performance and safety is often not desirable in robotics. For example, high-gain controllers might achieve low average tracking error (performance), but can overshoot and violate input constraints. In this paper, we present a generalized algorithm that allows for multiple safety constraints separate from the objective. Given an initial set of safe parameters, the algorithm maximizes performance but only evaluates parameters that satisfy safety for all constraints with high probability. To this end, it carefully explores the parameter space by exploiting regularity assumptions in terms of a Gaussian process prior. Moreover, we show how context variables can be used to safely transfer knowledge to new situations and tasks. We provide a theoretical analysis and demonstrate that the proposed algorithm enables fast, automatic, and safe optimization of tuning parameters in experiments on a quadrotor vehicle.

Citations (244)

Summary

  • The paper presents SAFEOPT-MC, which extends Bayesian optimization to safely optimize robotic control parameters under multiple safety constraints.
  • It employs Gaussian Process models to balance exploration and exploitation, ensuring only parameters with high-probability safety are evaluated.
  • Experiments on a quadrotor validate the approach, demonstrating reliable tuning of controller parameters without compromising safety.

Overview of "Bayesian Optimization with Safety Constraints: Safe and Automatic Parameter Tuning in Robotics"

The paper "Bayesian Optimization with Safety Constraints: Safe and Automatic Parameter Tuning in Robotics" by Felix Berkenkamp, Andreas Krause, and Angela P. Schoellig presents a novel approach to optimizing robotic control parameters using Bayesian optimization while rigorously maintaining safety constraints. This work builds on existing safe Bayesian optimization methods, such as SAFEOPT, and extends them to accommodate multiple safety criteria that are distinct from the primary performance objective, which is crucial for applications in real-world robotic systems.

Methodology

The proposed approach, termed SAFEOPT-MC (SAFEOPT with Multiple Constraints), begins with an initial set of parameters known to be safe. The algorithm iteratively expands this set while maintaining safety, guided by a Gaussian Process (GP) prior over both the performance and the safety constraints. This GP model allows the algorithm to make probabilistic predictions about which parameters are safe to evaluate, balancing exploration of the parameter space with the exploitation of high-performance parameters.

The primary contribution of the paper is the generalization of SAFEOPT to multiple constraints, providing theoretical guarantees of safety (i.e., the algorithm will not evaluate unsafe parameters) and performance. The algorithm ensures that during the optimization process, it evaluates parameter sets only when they satisfy all safety constraints with high probability. Importantly, it does so without necessitating gradient information, which is often unattainable in practice due to noise or the lack of a precise model of the system's dynamics.

Experimental Evaluation

The authors validate their approach through experiments on a quadrotor aircraft, showcasing its ability to safely optimize controller parameters under real-world conditions. The experimental setup leverages a motion capture system to provide precise vehicle state estimates, while the control law parameters are dynamically tuned to optimize for tracking a desired trajectory. The experiments demonstrate that SAFEOPT-MC can efficiently and reliably identify better-performing control strategies without compromising safety.

Implications and Future Work

The implications of this research are significant for the field of robotics, particularly in scenarios where safety cannot be compromised, such as autonomous vehicles, drones, and medical robots. The ability to automatically and safely tune control parameters in these environments reduces the reliance on manual tuning and domain expertise, thereby accelerating deployment and improving system performance.

While the approach is robust and provides strong theoretical guarantees, it is noted that it is primarily suitable for low-dimensional parameter spaces due to the computational load associated with Bayesian optimization in higher dimensions. Therefore, future research may focus on extending the applicability of this method to more complex, high-dimensional scenarios, which could involve leveraging dimensionality reduction techniques or more scalable kernel representations.

Overall, this work represents a significant advance in the automated safe tuning of robotic control systems, bridging a critical gap in merging automated optimization techniques with rigorous safety assurances.