Creating a complete Android app with Kotlin code is beyond the scope of this platform. However, I can provide you with an outline and some code snippets to help you get started on implementing your desired functionality.

1. Set up a new Android project in Android Studio with Kotlin support.
2. Add necessary dependencies in build.gradle (Module: app) file:

```groovy
dependencies {
    implementation 'com.google.android.gms:play-services-location:18.0.0'
    implementation 'com.google.android.gms:play-services-maps:17.0.1'
    implementation 'androidx.room:room-runtime:2.3.0'
    kapt 'androidx.room:room-compiler:2.3.0'
}
```

3. Request location permissions in AndroidManifest.xml:

```xml
<uses-permission android:name="android.permission.ACCESS_FINE_LOCATION" />
<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
```

4. Create LocationEntity.kt for Room database:

```kotlin
import androidx.room.Entity
import androidx.room.PrimaryKey

@Entity(tableName = "location_table")
data class LocationEntity(
    @PrimaryKey(autoGenerate = true)
    val id: Int,
    val latitude: Double,
    val longitude: Double,
    val timestamp: Long
)
```

5. Create LocationDao.kt interface for Room database operations:

```kotlin
import androidx.room.Dao
import androidx.room.Insert
import androidx.room.Query

@Dao
interface LocationDao {

    @Insert
    suspend fun insert(location: LocationEntity)

    @Query("SELECT * FROM location_table ORDER BY timestamp ASC")
    fun getAllLocations(): LiveData<List<LocationEntity>>
}
```

6. Create LocationDatabase.kt abstract class for Room database:

```kotlin
import androidx.room.Database
import androidx.room.RoomDatabase

@Database(entities = [LocationEntity::class], version = 1, exportSchema = false)
abstract class LocationDatabase : RoomDatabase() {

    abstract fun locationDao(): LocationDao

    companion object {
        @Volatile
        private var INSTANCE: LocationDatabase? = null

        fun getDatabase(context: Context): LocationDatabase {
            return INSTANCE ?: synchronized(this) {
                val instance = Room.databaseBuilder(
                    context.applicationContext,
                    LocationDatabase::class.java,
                    "location_database"
                ).build()
                INSTANCE = instance
                instance
            }
        }
    }
}
```

7. Create a ViewModel and Repository for handling database operations.

8. Implement Google Maps in your activity or fragment to display the user's current position.

9. Use FusedLocationProviderClient to get real-time location updates:

```kotlin
private lateinit var fusedLocationClient: FusedLocationProviderClient

fusedLocationClient = LocationServices.getFusedLocationProviderClient(requireActivity())

val locationRequest = LocationRequest.create().apply {
    interval = 1000 // Update interval in milliseconds
    fastestInterval = 500
    priority = LocationRequest.PRIORITY_HIGH_ACCURACY
}

val locationCallback = object : LocationCallback() {
    override fun onLocationResult(locationResult: LocationResult?) {
        locationResult ?: return
        for (location in locationResult.locations) {
            // Save location to the local SQLite database using ViewModel/Repository
            // Update map with new location
        }
    }
}

// Request location updates
fusedLocationClient.requestLocationUpdates(
    locationRequest,
    locationCallback,
    Looper.getMainLooper()
)
```

10. Export stored location history as GPX file:

```kotlin
fun exportToGPX(locations: List<LocationEntity>) {
    val gpxFile = File(Environment.getExternalStorageDirectory(), "location_history.gpx")
    val outputStream = FileOutputStream(gpxFile)

    val xmlSerializer = Xml.newSerializer()
    xmlSerializer.setOutput(outputStream, "UTF-8")
    xmlSerializer.startDocument("UTF-8", true)
    xmlSerializer.setFeature("http://xmlpull.org/v1/doc/features.html#indent-output", true)

    // Write GPX file content using locations list

    xmlSerializer.endDocument()
    outputStream.flush()
    outputStream.close()
}
```

These are the basic steps to create an Android app with Kotlin that tracks the user's current position and stores location history in a local SQLite database. You will need to adjust the code according to your specific requirements and handle various edge cases like checking for permissions, handling errors, etc.
Kotlin 코드로 완전한 Android 앱을 만드는 것은 이 플랫폼의 범위를 벗어납니다. 하지만 원하는 기능을 구현하는 데 도움이 되는 개요와 몇 가지 코드 스니펫을 제공할 수 있습니다.

1. Kotlin이 지원되는 Android Studio에서 새 Android 프로젝트를 설정합니다.
2. build.gradle(모듈: 앱) 파일에 필요한 종속성을 추가합니다:

```groovy
dependencies {
    implementation 'com.google.android.gms:play-services-location:18.0.0'
    implementation 'com.google.android.gms:play-services-maps:17.0.1'
    implementation 'androidx.room:room-runtime:2.3.0'
    kapt 'androidx.room:room-compiler:2.3.0'
}
```

3. AndroidManifest.xml에서 위치 권한을 요청합니다:

```xml
<uses-permission android:name="android.permission.ACCESS_FINE_LOCATION" />
<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
```

4. 룸 데이터베이스용 LocationEntity.kt를 생성합니다:

```kotlin
import androidx.room.Entity
import androidx.room.PrimaryKey

@Entity(tableName = "location_table")
data class LocationEntity(
    @PrimaryKey(autoGenerate = true)
    val id: Int,
    val latitude: Double,
    val longitude: Double,
    val timestamp: Long
)
```

5. 객실 데이터베이스 작업을 위한 LocationDao.kt 인터페이스를 생성합니다:

```kotlin
import androidx.room.Dao
import androidx.room.Insert
import androidx.room.Query

@Dao
interface LocationDao {

    @Insert
    suspend fun insert(location: LocationEntity)

    @Query("SELECT * FROM location_table ORDER BY timestamp ASC")
    fun getAllLocations(): LiveData<List<LocationEntity>>
}
```

6. 룸 데이터베이스에 대한 LocationDatabase.kt 추상 클래스를 생성합니다:

```kotlin
import androidx.room.Database
import androidx.room.RoomDatabase

@Database(entities = [LocationEntity::class], version = 1, exportSchema = false)
abstract class LocationDatabase : RoomDatabase() {

    abstract fun locationDao(): LocationDao

    companion object {
        @Volatile
        private var INSTANCE: LocationDatabase? = null

        fun getDatabase(context: Context): LocationDatabase {
            return INSTANCE ?: synchronized(this) {
                val instance = Room.databaseBuilder(
                    context.applicationContext,
                    LocationDatabase::class.java,
                    "location_database"
                ).build()
                INSTANCE = instance
                instance
            }
        }
    }
}
```

7. 데이터베이스 작업을 처리하기 위한 뷰모델과 리포지토리를 만듭니다.

8. 사용자의 현재 위치를 표시하기 위해 활동 또는 조각에 Google 지도를 구현합니다.

9. 실시간 위치 업데이트를 받으려면 FusedLocationProviderClient를 사용합니다:

```kotlin
private lateinit var fusedLocationClient: FusedLocationProviderClient

fusedLocationClient = LocationServices.getFusedLocationProviderClient(requireActivity())

val locationRequest = LocationRequest.create().apply {
    interval = 1000 // Update interval in milliseconds
    fastestInterval = 500
    priority = LocationRequest.PRIORITY_HIGH_ACCURACY
}

val locationCallback = object : LocationCallback() {
    override fun onLocationResult(locationResult: LocationResult?) {
        locationResult ?: return
        for (location in locationResult.locations) {
            // Save location to the local SQLite database using ViewModel/Repository
            // Update map with new location
        }
    }
}

// Request location updates
fusedLocationClient.requestLocationUpdates(
    locationRequest,
    locationCallback,
    Looper.getMainLooper()
)
```

10. 저장된 위치 기록을 GPX 파일로 내보냅니다:

```kotlin
fun exportToGPX(locations: List<LocationEntity>) {
    val gpxFile = File(Environment.getExternalStorageDirectory(), "location_history.gpx")
    val outputStream = FileOutputStream(gpxFile)

    val xmlSerializer = Xml.newSerializer()
    xmlSerializer.setOutput(outputStream, "UTF-8")
    xmlSerializer.startDocument("UTF-8", true)
    xmlSerializer.setFeature("http://xmlpull.org/v1/doc/features.html#indent-output", true)

    // Write GPX file content using locations list

    xmlSerializer.endDocument()
    outputStream.flush()
    outputStream.close()
}
```

다음은 사용자의 현재 위치를 추적하고 위치 기록을 로컬 SQLite 데이터베이스에 저장하는 Kotlin으로 Android 앱을 만드는 기본 단계입니다. 특정 요구 사항에 따라 코드를 조정하고 사용 권한 확인, 오류 처리 등과 같은 다양한 에지 케이스를 처리해야 합니다.