Using Swashbuckle for Asp.net core how can I add a model to the generated model list?

You could create an document filter and register it globally.

public class CustomModelDocumentFilter<T> : IDocumentFilter where T : class
{
    public void Apply(SwaggerDocument swaggerDoc, DocumentFilterContext context)
    {
        context.SchemaRegistry.GetOrRegister(typeof(T));
    }
}

and then register it in your Startup class.

services.AddSwaggerGen(options =>
{
    ...
    options.DocumentFilter<CustomModelDocumentFilter<MyCustomModel>>();
    options.DocumentFilter<CustomModelDocumentFilter<MyOtherModel>>();
    ...
}

For polymorphic class you could use these to filters (slightly improved versions of this answer).

public class PolymorphismDocumentFilter<T> : IDocumentFilter
{
    public void Apply(SwaggerDocument swaggerDoc, DocumentFilterContext context)
    {
        RegisterSubClasses(context.SchemaRegistry, typeof(T));
    }

    private static void RegisterSubClasses(ISchemaRegistry schemaRegistry, Type abstractType)
    {
        const string discriminatorName = "$type";

        string friendlyId = abstractType.FriendlyId();
        if (!schemaRegistry.Definitions.TryGetValue(friendlyId, out Schema parentSchema))
            parentSchema = schemaRegistry.GetOrRegister(abstractType);

        // set up a discriminator property (it must be required)
        parentSchema.Discriminator = discriminatorName;
        parentSchema.Required = new List<string> { discriminatorName };

        if (parentSchema.Properties == null)
            parentSchema.Properties = new Dictionary<string, Schema>();

        if (!parentSchema.Properties.ContainsKey(discriminatorName))
            parentSchema.Properties.Add(discriminatorName, new Schema { Type = "string", Default = abstractType.FullName });

        // register all subclasses
        var derivedTypes = abstractType.GetTypeInfo().Assembly.GetTypes()
            .Where(x => abstractType != x && abstractType.IsAssignableFrom(x));

        foreach (var item in derivedTypes)
            schemaRegistry.GetOrRegister(item);
    }
}

public class PolymorphismSchemaFilter<T> : ISchemaFilter
{
    private readonly Lazy<HashSet<Type>> derivedTypes = new Lazy<HashSet<Type>>(Init);

    public void Apply(Schema schema, SchemaFilterContext context)
    {
        if (!derivedTypes.Value.Contains(context.SystemType)) return;

        var type = context.SystemType;
        var clonedSchema = new Schema
        {
            Properties = schema.Properties,
            Type = schema.Type,
            Required = schema.Required
        };

        // schemaRegistry.Definitions[typeof(T).Name]; does not work correctly in Swashbuckle.AspNetCore
        var parentSchema = new Schema { Ref = "#/definitions/" + typeof(T).Name };

        var assemblyName = Assembly.GetAssembly(type).GetName();
        schema.Discriminator = "$type";
        // This is required if you use Microsoft's AutoRest client to generate the JavaScript/TypeScript models
        schema.Extensions.Add("x-ms-discriminator-value", $"{type.FullName}, {assemblyName.Name}");
        schema.AllOf = new List<Schema> { parentSchema, clonedSchema };

        // reset properties for they are included in allOf, should be null but code does not handle it
        schema.Properties = new Dictionary<string, Schema>();
    }

    private static HashSet<Type> Init()
    {
        var abstractType = typeof(T);
        var dTypes = abstractType.GetTypeInfo().Assembly
            .GetTypes()
            .Where(x => abstractType != x && abstractType.IsAssignableFrom(x));

        var result = new HashSet<Type>();

        foreach (var item in dTypes)
            result.Add(item);

        return result;
    }
}

Two filters are required. The first will add all of your delivered classes to the schema. It also adds properties that aren't existing int he base class to the derived type's schema.

The second filter adds some properties ($type for serialization when the model returns) and extensions (for Microsoft's AutoRest client / generator) as well as adding the allOf properties to the Swagger schema, which are required in order to create a inheritance schema when generated with swagger-gen or AutoRest.

Registration is similar, just that you need to register them in pairs (only registration of the base class is required)

// The following lines add polymorphism to the swagger.json schema, so that
// code generators can create properly inheritance hierarchies.
options.DocumentFilter<PolymorphismDocumentFilter<BaseClass>>();
options.SchemaFilter<PolymorphismSchemaFilter<BaseClass>>();

Update for ASP.NET Core 3 and Swashbuckle.AspNetCore 5.0

public class CustomModelDocumentFilter<T> : IDocumentFilter where T : class
{
    public void Apply(OpenApiDocument openapiDoc, DocumentFilterContext context)
    {
        context.SchemaGenerator.GenerateSchema(typeof(T), context.SchemaRepository);
    }
}

The PolymorphismDocumentFilter/PolymorphismSchemaFilter updated for Swashbuckle.AspNetCore 5.0

public class PolymorphismDocumentFilter<T> : IDocumentFilter
{
    public void Apply(OpenApiDocument openApiDoc, DocumentFilterContext context)
    {
        RegisterSubClasses(context, typeof(T));
    }

    private static void RegisterSubClasses(DocumentFilterContext context, Type abstractType)
    {
        const string discriminatorName = "$type";
        var schemaRepository = context.SchemaRepository.Schemas;
        var schemaGenerator = context.SchemaGenerator;

        if (!schemaRepository.TryGetValue(abstractType.Name, out OpenApiSchema parentSchema))
        {
            parentSchema = schemaGenerator.GenerateSchema(abstractType, context.SchemaRepository);
        }

        // set up a discriminator property (it must be required)
        parentSchema.Discriminator = new OpenApiDiscriminator { PropertyName = discriminatorName };
        parentSchema.Required.Add(discriminatorName);

        if (!parentSchema.Properties.ContainsKey(discriminatorName))
            parentSchema.Properties.Add(discriminatorName, new OpenApiSchema { Type = "string", Default = new OpenApiString(abstractType.FullName) });

        // register all subclasses
        var derivedTypes = abstractType.GetTypeInfo().Assembly.GetTypes()
            .Where(x => abstractType != x && abstractType.IsAssignableFrom(x));

        foreach (var type in derivedTypes)
            schemaGenerator.GenerateSchema(type, context.SchemaRepository);
    }
}

and

public class PolymorphismSchemaFilter<T> : ISchemaFilter
{
    private readonly Lazy<HashSet<Type>> derivedTypes = new Lazy<HashSet<Type>>(Init);

    public void Apply(OpenApiSchema schema, SchemaFilterContext context)
    {
        var type = context.ApiModel.Type;
        if (!derivedTypes.Value.Contains(type))
            return;

        var clonedSchema = new OpenApiSchema
        {
            Properties = schema.Properties,
            Type = schema.Type,
            Required = schema.Required
        };

        // schemaRegistry.Definitions[typeof(T).Name]; does not work correctly in SwashBuckle
        if(context.SchemaRepository.Schemas.TryGetValue(typeof(T).Name, out OpenApiSchema _))
        {
            schema.AllOf = new List<OpenApiSchema> {
                new OpenApiSchema { Reference = new OpenApiReference { Id = typeof(T).Name, Type = ReferenceType.Schema } },
                clonedSchema
            };
        }

        var assemblyName = Assembly.GetAssembly(type).GetName();
        schema.Discriminator = new OpenApiDiscriminator { PropertyName = "$type" };
        schema.AddExtension("x-ms-discriminator-value", new OpenApiString($"{type.FullName}, {assemblyName.Name}"));

        // reset properties for they are included in allOf, should be null but code does not handle it
        schema.Properties = new Dictionary<string, OpenApiSchema>();
    }

    private static HashSet<Type> Init()
    {
        var abstractType = typeof(T);
        var dTypes = abstractType.GetTypeInfo().Assembly
            .GetTypes()
            .Where(x => abstractType != x && abstractType.IsAssignableFrom(x));

        var result = new HashSet<Type>();

        foreach (var item in dTypes)
            result.Add(item);

        return result;
    }
}

Maybe not the cleanest solution but I achieved the same by setting a ProducesResponseType attribute above my Controller:

[ProducesResponseType(typeof(object), 200)]
public class FileController : Controller
{

Where you replace object with the object you want to display in the model and create a new line for each additional one. Just be sure you use a different Statuscode for each one, else it'll only display the last.