“…The majority of the computational expense in calculating the additional quantities hxi and hij is in calculating the terms which are also required in calculating hi,, and /!2,, in the CE control law. This is one of the major advantages of the proposed cautious controller over the existing multi-step horizon cautious controllers of Tse and Bar-Shalom (1973) and Ku and Athans (1973), which have no closed form solution and are computationally expensive. Also, the arbitrary time horizon N in the cost function of (3) allows greater flexibility in controller design than in the cautious control approaches of Hughes and Jacobs (1973), Wittenmark (1975), Milito et al (1980, and Mookerjee and Bar Shalom (1989), where the prediction horizon is restricted to only one timestep.…”