2D Game Player Boundaries

Hello everyone! I'm making a similar game like this:

https://www.youtube.com/watch?v=N_U7GNchLZc

At minute 39 +/- it shows how to make boundaries for Input.mousePosition, but my problem is that I'm making the game for Android platform and I don't want my "Hat" to "Teleport" everytime I touch the screen I want something more like dragging finger to move player or making 2 Buttons and move left/right with Screen Boundaries and without being "Teleported" to wherever I touch.

CODE C#: using UnityEngine; using System.Collections;

 public class HatController : MonoBehaviour {
 
     public Camera cam;
 
     private float maxWidth;
 
     // Use this for initialization
     void Start () {
                 if (cam == null) {
                         cam = Camera.main;
                 }
                 Vector3 upperCorner = new Vector3 (Screen.width, Screen.height, 0.0f);
                 Vector3 targetWidth = cam.ScreenToWorldPoint (upperCorner);
                 float hatWidth = renderer.bounds.extents.x;
                 maxWidth = targetWidth.x - hatWidth;
         }
     // Update is called once per frame
     void FixedUpdate () {
         Vector3 rawPosition = cam.ScreenToWorldPoint (Input.mousePosition);
         Vector3 targetPosition = new Vector3 (rawPosition.x, -3.2f, 0.0f);
         float targetWidth = Mathf.Clamp (targetPosition.x, -maxWidth, maxWidth);
         targetPosition = new Vector3 (targetWidth, targetPosition.y, targetPosition.z);
         rigidbody2D.MovePosition (targetPosition);
     }
 }