ANALYTICAL DESIGN OF NONLINEAR CONTROL SYSTEMS

This paper presents two approaches to analytical design of nonlinear control systems using transformation of plant equations into quasilinear forms or into Jordan controlled form. Settlement expressions of corresponding analytical methods of control systems design are obtained as results. These methods can be applied if the plant’s nonlinear functions are differentiable, the plant is controllable and the additional conditions are satisfied. The suggested methods provide asymptotical stability of the equilibrium in a bounded domain of the state space or global stability and also desirable performance of transients. Examples of control systems design by the suggested analytical methods are given