# Optimal Control Vs Reinforcement Learning

Optimal Control Vs Reinforcement Learning

## Artificial Intelligence & Machine Learning

#### “Optimal Control is often the most efficient method for solving a problem vs employing a learning script.” -Deep Learning Godfather Yann LeCun

Classical ideal feedback model. The feedback is negative if B < 0.

## Optimal Control vs. Reinforcement Learning : A Simplified Explanation

When navigating the world of artificial intelligence and machine learning, two concepts often surface: Optimal Control and Reinforcement Learning. Both deal with decision-making processes and aim to achieve the best outcomes for a given task. However, they approach the problem in different ways. Let’s break these down into simpler terms.

### Optimal Control: The Planned Route

Optimal Control is like planning the perfect road trip. Imagine you have a map, know all the cities and roads, and understand your car’s performance perfectly. Your goal is to find the best route from point A to point B. In optimal control:

1. The Map is Known: You have a complete understanding of the environment or system.
2. Planning Ahead: You calculate the best route (or control strategy) before starting the trip.
3. Focus on Efficiency: The plan aims for the most efficient path, considering things like the shortest distance, least fuel consumption, or quickest time.

In technical terms, Optimal Control involves mathematically formulating the problem and solving complex equations to find the best control actions over time. It’s used in scenarios where the model of the system (like the map for our road trip) becomes well understood. Moreover, such as in robotics, aerospace, or manufacturing processes.

### Reinforcement Learning: Learning by Doing

Now, imagine you’re learning to drive a car in a city you’ve never visited. You don’t have a map, so you learn the best routes by trying different paths and learning from your experiences. In addition, this is like Reinforcement Learning (RL).

1. Exploring the Unknown: In RL, the agent (like a driver) often starts with little to no knowledge about the environment.
2. Learning from Feedback: As you drive around, trying different routes, you learn from the outcomes. A quick route earns a mental ‘reward’, while becoming stuck in traffic might feel like a ‘penalty’.
3. Developing a Strategy Over Time: Over time, you develop a sense of the best routes for different destinations based on your experiences.

Furthermore, in RL, an agent learns to make decisions through trial and error, interacting with its environment, and learning from the rewards or penalties of its actions. It’s used in situations where the model of the environment is unknown or too complex to formulate directly, such as in video games, autonomous vehicles, or complex simulations.

### Key Differences Between Optimal Control and Reinforcement Learning

1. Knowledge of the Environment:
• Optimal Control: Requires a well-defined and understood model of the system.
• Reinforcement Learning: Does not require a complete model; the agent learns about the environment through interaction.
2. Approach to Problem-Solving:
• Optimal Control: Involves planning and calculating the best actions before execution.
• Reinforcement Learning: Involves learning the best actions through trial and error over time.
• Optimal Control: Best suited for static environments where changes are minimal or predictable.
• Reinforcement Learning: More adaptable to dynamic or complex environments where unpredictability is a factor.
4. Real-World Application:
• Optimal Control: Used in well-modeled systems like industrial robots, spacecraft, and automated processes.
• Reinforcement Learning: Applied in less predictable or complex environments, like video games, stock trading, or learning complex tasks.

Wikipedia

Wikipedia