Yakov Shakhov
ABSTRACT
In this paper, we consider the problem of multiprogram stable controls synthesis for dynamic systems. We solve the problem for nonlinear systems based on Zubov's approach (a multiprogram control as Hermite's interpolative polynomial) that provides constraining of multiprogram controls. The theorem of a sufficient condition for control synthesis in a nonlinear system is formulated. Control synthesis for a model of the mathematical pendulum is presented as an example. Equilibrium positions of the system are considered in a capacity of a program motion set.
- V. I. Zubov. Synthesis of multiprogram stable controls. In Reports Academy of Sciences USSR, vol. 318, num. 2, pages 274--277, 1991. (In Russian)Google Scholar
- N. V. Smirnov, T. E. Smirnova. Stabilization of program motions family of the bilinear system in the case of r--dimensional control. In Proc. of the V Intern. workshop "Beam Dynamics and Optimization (BDO'98)", pages 131--134. St. Petersburg, Russia, 2002.Google Scholar
- I. Solovyeva. Positional optimization in a certain problem of multiprogram control. In Proc. of 11-th international conference on humans and computers, pages 359--363. Nagaoka University of Technology, Japan, 2008.Google Scholar
- Ya. Shakhov. Multiprogram controls for the quasi-linear time invariant system. In Abstracts of the XVI Intern. Workshop "Beam Dynamics and Optimization (BDO'10)", pages 61--62, St. Petersburg, Russia, 2010.Google Scholar
- J. Solis-Daun, R. Suqrez, J. Alvarez-Ramirez. Global stabilization of nonlinear systems with inputs subject to magnitude and rate bounds: a parametric optimization apploach. In SIAM J. Control Optim., vol. 39. num. 3. pages 682--706. 2000. Google ScholarDigital Library
- A. Zgonnikov. The optimum feedback synthesis for a certain nonlinear mechanical system. In Proc. of 12-th international conference on humans and computers, pages 235--239, Aizu, Japan, 2009.Google Scholar
- N. V. Smirnov, Ya. Shakhov. Multiprogram stabilization of a quasi-linear system. In Vestnik of Saint-Petersburg University, vol. 4, pages 128--138, 2009. (In Russian)Google Scholar
Index Terms
- Multiprogram stabilization of equilibrium positions for a nonlinear dynamic system
Recommendations
Multiprogram control for dynamic systems: a point of view
HCCE '12: Proceedings of the 2012 Joint International Conference on Human-Centered Computer EnvironmentsIn this paper, we analyze potentials and describe methods of synthesis of so-called multiprogram controls in different classes of dynamic systems. The main idea is to construct the control that provides predesigned finite set of asymptotically stable ...
On Convergence of the Nonlinear Active Disturbance Rejection Control for MIMO Systems
In this paper, the global and semiglobal convergence of the nonlinear active disturbance rejection control (ADRC) for a class of multi-input multi-output nonlinear systems with large uncertainty that comes from both dynamical modeling and external ...
Neural adaptive control for uncertain nonlinear system with input saturation
This paper presents neural adaptive control methods for a class of nonlinear systems in the presence of actuator saturation. Backstepping technique is widely used for the control of nonlinear systems. By introducing alternative state variables and ...
Comments