He afterwards traversed the country to Palacatcherry, which he besieged, and, when a practicable breach was made in the works, the garrison surrendered. He subsequently rejoined the army with his detachment, and was commended in general orders; and he took part in the operations of the campaign, evincing great personal bravery and ability on all occasions. Lieut.-Colonel Stuart commanded the right wing of the army under General Charles Earl Cornwallis, K.G., during the campaign of 1791; and after the capture of Bangalore the commander-in-chief expressed in orders his “most grateful remembrance of the valuable and steady support afforded him by Lieut.-Colonel Stuart.” The lieut.-colonel also evinced personal gallantry and judgment at the battle near Seringapatam on the 15th of May, 1791, and in the other operations of this arduous campaign, including the retreat to Bangalore. On the 9th of December he was detached against Savendroog, which he captured by storm on the 21st of that month; and three days afterwards he took the fortress of Outra-Durgum by a _coup de main_, for both of which services he was highly commended in general orders. He commanded the centre division, under Earl Cornwallis, at the attack of the fortified lines at Seringapatam on the 6th of February, 1792, when he again distinguished himself, and also in the subsequent operations until the power of Tippoo was subdued, and he solicited terms of peace. On the 8th of August, 1792, he was honored with the appointment of aide-de-camp to the King, with the rank of colonel; and in February, 1795, he was promoted to the rank of Major-General. He commanded the expedition against the Dutch Settlements in the island of Ceylon, captured Trincomalee after a short siege, took the forts and island of Manaar, and completed the conquest of the Dutch colony at Ceylon by the reduction of Colombo in February, 1796. On the 3rd of May following he was promoted to the local rank of lieut.-general in the East Indies, and appointed commander-in-chief of the army under the Bombay presidency. On the 2nd of March, 1797, he was appointed colonel of the eighty-second regiment, and in 1798 he was removed to the SEVENTY-SECOND Highlanders. When Tippoo Sultan sought union with the republican government of France, for the purpose of waging war against the British power in India, Lieut.-General Stuart commanded the forces from Bombay, which co-operated from Malabar, in the invasion of the Mysore. Having passed the eastern frontier, he was met by Tippoo at the head of a numerous force, and he repulsed the attack of the Mysorean army at Seedasere on the 6th of March, 1799. He afterwards advanced to Seringapatam, where he arrived in the early part of May, and took part in the siege of that fortress, which was captured by storm on the 4th of May, 1799, when Tippoo Sultan was killed, which terminated the war.