diff --git a/src/utils/gbnfJson/terminals/GbnfStringValue.ts b/src/utils/gbnfJson/terminals/GbnfStringValue.ts
index 0768722f..a341b2d6 100644
--- a/src/utils/gbnfJson/terminals/GbnfStringValue.ts
+++ b/src/utils/gbnfJson/terminals/GbnfStringValue.ts
@@ -1,6 +1,14 @@
 import {GbnfTerminal} from "../GbnfTerminal.js";
 import {GbnfGrammarGenerator} from "../GbnfGrammarGenerator.js";
 
+// the control characters (U+0000 - U+001F) that a JSON string cannot contain unescaped,
+// after `\t`, `\r`, `\n`, `\b` and `\f` were already replaced with their short escape sequence
+const remainingControlCharactersRegex = /[\u0000-\u001f]/g;
+
+function escapeControlCharacter(char: string): string {
+    const hex = char.charCodeAt(0).toString(16);
+    return "\\\\u" + hex.padStart(4, "0");
+}
 
 export class GbnfStringValue extends GbnfTerminal {
     public readonly value: string;
@@ -19,6 +27,9 @@ export class GbnfStringValue extends GbnfTerminal {
                 .replaceAll("\t", "\\\\t")
                 .replaceAll("\r", "\\\\r")
                 .replaceAll("\n", "\\\\n")
+                .replaceAll("\b", "\\\\b")
+                .replaceAll("\f", "\\\\f")
+                .replaceAll(remainingControlCharactersRegex, escapeControlCharacter)
                 .replaceAll('"', "\\\\" + '\\"'),
             '\\"',
             '"'
diff --git a/test/standalone/utils/GbnfStringValue.test.ts b/test/standalone/utils/GbnfStringValue.test.ts
new file mode 100644
index 00000000..d312684a
--- /dev/null
+++ b/test/standalone/utils/GbnfStringValue.test.ts
@@ -0,0 +1,76 @@
+import {describe, expect, test} from "vitest";
+import {GbnfStringValue} from "../../../src/utils/gbnfJson/terminals/GbnfStringValue.js";
+import {getGbnfGrammarForGbnfJsonSchema} from "../../../src/utils/gbnfJson/getGbnfGrammarForGbnfJsonSchema.js";
+
+
+// the grammar literal for a string value is the JSON representation of the value,
+// with `\` and `"` escaped again, since it is placed inside a GBNF string literal
+function getExpectedGrammarLiteral(value: string) {
+    return '"' + JSON.stringify(value).replaceAll("\\", "\\\\")
+        .replaceAll('"', '\\"') + '"';
+}
+
+// reverses the escaping of a GBNF string literal, to get the text that the grammar makes the model generate
+function getGeneratedTextOfGrammarLiteral(literal: string) {
+    return literal.slice(1, -1).replaceAll('\\"', '"')
+        .replaceAll("\\\\", "\\");
+}
+
+const rawControlCharacterRegex = /[\u0000-\u001f]/;
+
+describe("utils", () => {
+    describe("GbnfStringValue", () => {
+        test("escapes backspace and form feed", () => {
+            expect(new GbnfStringValue("a\bb").getGrammar()).toBe(getExpectedGrammarLiteral("a\bb"));
+            expect(new GbnfStringValue("a\fb").getGrammar()).toBe(getExpectedGrammarLiteral("a\fb"));
+            expect(new GbnfStringValue("a\bb").getGrammar()).toBe('"\\"a\\\\bb\\""');
+            expect(new GbnfStringValue("a\fb").getGrammar()).toBe('"\\"a\\\\fb\\""');
+        });
+
+        test("escapes the other control characters as \\u00XX", () => {
+            expect(new GbnfStringValue("a\u0000b").getGrammar()).toBe('"\\"a\\\\u0000b\\""');
+            expect(new GbnfStringValue("a\u0001b").getGrammar()).toBe('"\\"a\\\\u0001b\\""');
+            expect(new GbnfStringValue("a\u001fb").getGrammar()).toBe('"\\"a\\\\u001fb\\""');
+        });
+
+        test("keeps the existing escaping of tab, carriage return, line feed, quote and backslash", () => {
+            const value = "t\tr\rn\nq\"b\\";
+
+            expect(new GbnfStringValue(value).getGrammar()).toBe(getExpectedGrammarLiteral(value));
+        });
+
+        test("does not escape characters that are valid in a JSON string", () => {
+            expect(new GbnfStringValue("a b\u007fé
").getGrammar()).toBe('"\\"a b\u007fé
\\""');
+        });
+
+        test("every control character is escaped the same way JSON.stringify does and has no raw form in the grammar", () => {
+            for (let code = 0; code < 0x20; code++) {
+                const value = "a" + String.fromCharCode(code) + "b";
+                const grammarLiteral = new GbnfStringValue(value).getGrammar();
+
+                expect(grammarLiteral).not.toMatch(rawControlCharacterRegex);
+                expect(grammarLiteral).toBe(getExpectedGrammarLiteral(value));
+                expect(JSON.parse(getGeneratedTextOfGrammarLiteral(grammarLiteral))).toBe(value);
+            }
+        });
+
+        test("enum, const and property names with control characters in a JSON schema grammar", () => {
+            const enumGrammar = getGbnfGrammarForGbnfJsonSchema({enum: ["a\bb"]});
+            expect(enumGrammar).toContain('val0 ::= "\\"a\\\\bb\\""');
+            expect(enumGrammar).not.toMatch(/\u0008/);
+
+            const constGrammar = getGbnfGrammarForGbnfJsonSchema({const: "x\u001f"});
+            expect(constGrammar).toContain('"\\"x\\\\u001f\\""');
+            expect(constGrammar.includes(String.fromCharCode(0x1f))).toBe(false);
+
+            const objectGrammar = getGbnfGrammarForGbnfJsonSchema({
+                type: "object",
+                properties: {
+                    "k\f": {type: "string"}
+                }
+            });
+            expect(objectGrammar).toContain('"\\"k\\\\f\\""');
+            expect(objectGrammar).not.toMatch(/\u000c/);
+        });
+    });
+});