How to fix "pixelated" camera movement in libgdx?

Question

Java

The standard orthographic camera (OrthographicCamera) is used. When the position is changed to float, the position is changed to int (i.e. the coordinate is rounded). As a result, the image is shifted "pixel by pixel". Is it possible to draw a non-pixel perfect result?
I googled seemingly similar problems - options using vector3.scl () and vector3.lerp (), but only my hands are crooked, or the problems are not quite the same, or the version of libgdx is different.
For example, consider 3 frames with camera movement +.5f horizontally (x-coordinate):
Frame 1: Nothing happens
Frame 2: Shift one pixel to the left
Frame 3: Nothing changes
Wait:
Frame 1: Shift 0.5 left
Frame 2 : Shift 0.5 to the left
Frame 3: Shift 0.5 to the left
At the same time, applying interpolation to the texture ( setFilter(Texture.TextureFilter.Linear, Texture.TextureFilter.MipMapLinearLinear) ) did not bring the expected result. From which I conclude that the problem is specifically in the camera.
Side effect:
Zooming ignores interpolation when using viewport:
Environment:
- Libgdx 1.5.6.
- JDK 1.8 x64
- Intel HD Graphics 4600 (i.e. support for OpenGL up to 4.3).
- Win 7 (including LwjglApplication)
The code itself is quite obvious:

// camera == OrthographicCamera
// sprite == Sprite
// batch == SpriteBatch
    @Override
    public void render() {
        camera.update();
        camera.position.set(new Vector3(camera.position.x + 0.1f, camera.position.y, 0));

        batch.setProjectionMatrix(camera.combined);
        batch.setTransformMatrix(camera.view);

        // render

        Gdx.gl.glClearColor(0, 0, 0.2f, 1);
        Gdx.gl.glClear(GL20.GL_COLOR_BUFFER_BIT);

        batch.begin();
        sprite.draw(batch); // Отрисовка белой картиночки с синими линиями
        batch.end();
    }

I have never worked with OpenGL before (including its pitfalls), more tightly than "just draw a triangle".