Abstract
The study presents a new approach to building control systems for objects with uncertain parameters in the form of single-parameter structurally stable mappings of catastrophe theory to synthesize highly efficient control system, which has an extremely wide field of robust stability.
Highlights
Control system design is one of the main tasks in automation of all branches of industry, including machine manufacturing, energy sector, electronics, chemical and biological, metallurgical, textile, transportation, robotics, aviation, space systems, highprecision military systems, etc
On the Morse lemma we will lead (Gilmore, 1984; Poston and Stewart, 2001) Lyapunov function, by means of stability matrix, to a quadratic form (Beisenbi et al, 2015): Description of dynamics of the aircraft angular motion: We investigate a task of traffic control of the aircraft by the pitch
Control law is designed for linearized model (18) and, we find sufficient conditions for the stability of the stationary state and positive definiteness of Lyapunov function
Summary
Control system design is one of the main tasks in automation of all branches of industry, including machine manufacturing, energy sector, electronics, chemical and biological, metallurgical, textile, transportation, robotics, aviation, space systems, highprecision military systems, etc. In linear dynamic systems it is appear in the form of control system’s zero steady state stability loss (Beisеnbi, 2011b; Beisеnbi and Erzhanov, 2002). The control law is described by a vector function in the form of single-parameter structurally steady maps (Gilmore, 1984; Poston and Stewart, 2001): ui xi3 ki xi i 1,...,n
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