Control of Limited Dynamic Processes Based on Variation of Auxiliary Integral Surfaces

A new approach is proposed to synthesize both linear and nonlinear control systems with various limitations and uncertainties available while specifying parameters and disturbances. The approach is based on introduction of analytically described surfaces, that after some transformation of system of equations become its integral surfaces. While mapping the system motion onto the integral surfaces, equivalent scalar equations are formed, using of which makes it rather simple to determine the necessary control laws.