Synthesis of quasi-stationary optimum nonlinear control systems: Part II ¿ Extensions in mechanization concepts

FOR OPTIMUM ¿bang-bang¿ or relaytype control systems of order higher than the second, there is the practical mechanization problem of requiring high-order function generators in realizing the system. For example, for t h e thirdorder system it appears that a function generator is required whose output is a function of two variables. Such a function generator is fairly complicated and expensive. One way of tempering this difficulty has been suggested by Preston and this amounts to an approximation technique.1 This paper presents another technique which does not require an approximation to be made and which uses only single-variable function generators. This may be viewed as a step in t h e direction toward the practical realization of optimum nonlinear control systems of third or higher order of t h e stationary or quasi-stationary types.