Integrated Design of Structure/Controller for Parallel Inverted Pendulum Systems
نویسندگان
چکیده
An integrated design of structure/controller for parallel inverted pendulum systems is presented. In practical parallel inverted pendulum systems, existence of a realizable stabilizing controller is inevitably determined depending on the position of center of gravity of two pendulums. In this paper these parameters are set as structural parameters in structural systems and a descriptor form representation is used to express the dynamics of parallel inverted pendulum systems. A state feedback gain and structural parameters are determined based on a design of linear quadratic regulator(LQR), in which a generalized Ricatti equation in LQR problem for the descriptor form representation is reduced to LMI conditions. Main contribution of this paper is to give a method to determine the position of center of gravity of two pendulums for parallel inverted pendulum systems in a sense of suitable for control. Based on the obtained structural parameters, some experimental works are executed. Experimental results show the effectiveness of the proposed design method.
منابع مشابه
MINIMUM TIME SWING UP AND STABILIZATION OF ROTARY INVERTED PENDULUM USING PULSE STEP CONTROL
This paper proposes an approach for the minimum time swing upof a rotary inverted pendulum. Our rotary inverted pendulum is supported bya pivot arm. The pivot arm rotates in a horizontal plane by means of a servomotor. The opposite end of the arm is instrumented with a joint whose axisis along the radial direction of the motor. A pendulum is suspended at thejoint. The task is to design a contro...
متن کاملTrajectory tracking of under-actuated nonlinear dynamic robots: Adaptive fuzzy hierarchical terminal sliding-mode control
In recent years, underactuated nonlinear dynamic systems trajectory tracking, such as space robots and manipulators with structural flexibility, has become a major field of interest due to the complexity and high computational load of these systems. Hierarchical sliding mode control has been investigated recently for these systems; however, the instability phenomena will possibly occur, especia...
متن کاملTerminal Sliding Mode Fuzzy-PDC Control for Nonlinear Systems
The proposed method called terminal sliding Fuzzy Sliding Parallel Distributed Compensation (TSF-PDC) control is developed in this paper to deal with the nonlinear systems subjected to bounded disturbances. The TSF-PDC controller is combined with Fuzzy Parallel Distributed Compensation (F-PDC) control and terminal sliding mode (TS) control to deal with nonlinear systems. In the design of TSF-PD...
متن کاملDesign, Build and Control of a Single Rotational Inverted Pendulum
Mechtronics is a natural stage in the evolutionary process of modern engineering design. The development of the computer, and then the microcomputer, embedded computers, and associated information technologies and software advances, made mechatronics an imperative in the latter part of the twentieth century. Standing at the threshold of the twenty first century, with expected advances in the in...
متن کاملModeling and Controller Designing of Rotary Inverted Pendulum (RIP)-Comparison by Using Various Design Methods
_ Inverted pendulum control is one of the fundamental and interesting problems in the field of control theory. This paper describes the steps to design various controllers for a rotary motion inverted pendulum which is operated by a rotary servo plant, SRV 02 Series. Nonlinear model of the rotary inverted pendulum and linear model (Upright) in the neighborhood of an equilibrium state are descri...
متن کامل