• Title/Summary/Keyword: nonlinear optimal control

Search Result 574, Processing Time 0.025 seconds

Suboptimal Control of Nonlinear Systems via Block-Pulse Transformation (블록펄스 변환에 의한 비선형계의 준최적제어에 관한 연구)

  • 안두수;박준훈
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.40 no.12
    • /
    • pp.1273-1279
    • /
    • 1991
  • In this paper new adaptive approach method for sub optimal control of nonlinear systems is presented. This paper used the method proposed by J.P.Matuszewski for adaptive optimal control scheme and used block pulse transformations for solving the Riccati differential equation which is usually quite this method is estabilished with simulation results and comparisons to existing approaches.

Design of Optimal Controller for TS Fuzzy Models and Its Application to Nonlinear Systems (TS 퍼지 모델을 이용한 최적 제어기 설계 및 비선형 시스템에서의 응용)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.49 no.2
    • /
    • pp.68-73
    • /
    • 2000
  • This paper addresses the analysis and design of fuzzy control systems for a class of complex nonlinear systems. Firstly, the nonlinear system is represented by Takagi-Sugeno(TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller is composed of two processes. One is to determine the static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative methods for the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method, the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. A numerical simulation example is given to show the effectiveness and feasibiltiy of the proposed fuzzy controller design method.

  • PDF

Time-optimal control for motors via neural networks (신경회로망을 이용한 모터의 시간최적 제어)

  • 최원수;윤중선
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1996.10b
    • /
    • pp.1169-1172
    • /
    • 1996
  • A time-optimal control law for quick, strongly nonlinear systems has been developed and demonstrated. This procedure involves the utilization of neural networks as state feedback controllers that learn the time-optimal control actions by means of an iterative minimization of both the final time and the final state error for the known and unknown systems with constrained inputs and/or states. The nature of neural networks as a parallel processor would circumvent the problem of "curse of dimensionality". The control law has been demonstrated for a velocity input type motor identified by a genetic algorithm called GENOCOP.

  • PDF

A stochastic optimal time-delay control for nonlinear structural systems

  • Ying, Z.G.;Zhu, W.Q.
    • Structural Engineering and Mechanics
    • /
    • v.31 no.5
    • /
    • pp.621-624
    • /
    • 2009
  • The time delay in active and semi-active controls is an important research subject. Many researches on the time-delay control for deterministic systems have been made (Hu and Wang 2002, Yang et al. 1990, Abdel-Mooty and Roorda 1991, Pu 1998, Cai and Huang 2002), while the study on that for stochastic systems is very limited. The effects of the time delay on the control of nonlinear systems under Gaussian white noise excitations have been studied by Bilello et al. (2002). The controlled linear systems with deterministic and random time delay subjected to Gaussian white noise excitations have been treated by Grigoriu (1997). Recently, a stochastic averaging method for quasi-integrable Hamiltonian systems with time delay has been proposed (Liu and Zhu 2007). In the present paper, a stochastic optimal time-delay control method for stochastically excited nonlinear structural systems is proposed based on the stochastic averaging method for quasi Hamiltonian systems with time delay and the stochastic dynamical programming principle. An example of stochastically excited and controlled hysteretic column is given to illustrate the proposed control method.

Application of simple adaptive control to an MR damper-based control system for seismically excited nonlinear buildings

  • Javanbakht, Majd;Amini, Fereidoun
    • Smart Structures and Systems
    • /
    • v.18 no.6
    • /
    • pp.1251-1267
    • /
    • 2016
  • In this paper, Simple Adaptive Control (SAC) is used to enhance the seismic response of nonlinear tall buildings based on acceleration feedback. Semi-active MR dampers are employed as control actuator due to their reliability and well-known dynamic models. Acceleration feedback is used because of availability, cost-efficiency and reliable measurements of acceleration sensors. However, using acceleration feedback in the control loop causes the structure not to apparently meet some requirements of the SAC algorithm. In addition to defining an appropriate SAC reference model and using inherently stable MR dampers, a modification in the original structure of the SAC is proposed in order to improve its adaptability to the situation in which the plant does not satisfy the algorithm's stability requirements. To investigate the performance of the developed control system, a numerical study is conducted on the benchmark 20-story nonlinear building and the responses of the SAC-controlled structure are compared to an $H_2/LQG$ clipped-optimal controller under the effect of different seismic excitations. As indicated by the results, SAC controller effectively reduces the story drifts and hence the seismically-induced damage throughout the structural members despite its simplicity, independence of structural parameters and while using fewer number of dampers in contrast with the $H_2/LQG$ clipped-optimal controller.

Studies on vibration control effects of a semi-active impact damper for seismically excited nonlinear building

  • Lu, Zheng;Zhang, Hengrui;Masri, Sami F.
    • Smart Structures and Systems
    • /
    • v.24 no.1
    • /
    • pp.95-110
    • /
    • 2019
  • The semi-active impact damper (SAID) is proposed to improve the damping efficiency of traditional passive impact dampers. In order to investigate its damping mechanism and vibration control effects on realistic engineering structures, a 20-story nonlinear benchmark building is used as the main structure. The studies on system parameters, including the mass ratio, damping ratio, rigid coefficient, and the intensity of excitation are carried out, and their effects both on linear and nonlinear indexes are evaluated. The damping mechanism is herein further investigated and some suggestions for the design in high-rise buildings are also proposed. To validate the superiority of SAID, an optimal passive particle impact damper ($PID_{opt}$) is also investigated as a control group, in which the parameters of the SAID remain the same, and the optimal parameters of the $PID_{opt}$ are designed by differential evolution algorithm based on a reduced-order model. The numerical simulation shows that the SAID has better control effects than that of the optimized passive particle impact damper, not only for linear indexes (e.g., root mean square response), but also for nonlinear indexes (e.g., component energy consumption and hinge joint curvature).

Development of Pprocess Models by Partial Differential Equations and Ccontrol Systems (화학 공정의 편미분 방정식 모델설정과 제어에 관한 연구)

  • 최영순;이인범;장근수
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1991.10a
    • /
    • pp.105-107
    • /
    • 1991
  • A chemical process model represented by partial differential equations was studied as one of nonlinear distributed parameter control problems. Using an optimal control theory in the form of maximum principles based on nonlinear integral equations, an algorithm to solve the problem was developed and coded into a computer program.

  • PDF

Optimal placement of MR dampers for 20-story nonlinear benchmark building (20층 비선형 벤치마크 빌딩에 대한 MR 유체 감쇠기의 최적위치 결정)

  • 장종우;조상원;윤우현;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2003.10a
    • /
    • pp.153-160
    • /
    • 2003
  • The objective of optimal placement of dampers for a structure is to maximize the effective-ness of the vibration control with the same number of dampers. While many optimal placement methods of linear viscous dampers have been proposed and used, there are only a few methods for MR dampers. Here some optimal location indices for M dampers are proposed, which are similar to those for linear viscous dampers and show how large the structural responses on each floor are. Every time an additional MR damper is implemented, the optimal location index on each floor is measured, and then the next damper is installed on the floor with the maximum location index. In these sequential procedures, the peak interstory drift, the peak interstory velocity and the absolute acceleration of each floor are selected as the optimal location indeices. Four different earthquakes with various scales are loaded to the 20-story nonlinear benchmark building model (Otori et al. 2000, 2002). Passive On/on algorithms are used in order to represent the control algorithm of M dampers.

  • PDF

Optimal placement of MR dampers for 20-story nonlinear benchmark building (20층 비선형 벤치마크 빌딩에 대한 자기유변유체 감쇠기의 최적위치 결정)

  • 장종우;조상원;이인원;윤우현
    • Proceedings of the Earthquake Engineering Society of Korea Conference
    • /
    • 2003.09a
    • /
    • pp.467-472
    • /
    • 2003
  • The objective of optimal placement of dampers for a structure is to maximize the effectiveness of the vibration control with the same number of dampers. While many optimal placement methods of linear viscous dampers have been proposed and used, there are only a few methods for MR dampers. Here some optimal location indices for MR dampers are proposed, which are similar to those for linear viscous dampers and show how large the structural responses on each floor we. Every time an additional MR damper is implemented, the optimal location index on each floor is measured, and then the next damper is installed on the floor with the maximum location index. In these sequential procedures, the peak interstory drift, the peak interstory velocity and the absolute acceleration of each floor are selected as the optimal location indeices. Four different earthquakes with various scales are loaded to the 20-story nonlinear benchmark building model (Otori et at. 2000, 2002). Passive On/Off algorithms are used in order to represent the control algorithm of MR dampers.

  • PDF

Nonlinear Model Predictive Control for Multiple UAVs Formation Using Passive Sensing

  • Shin, Hyo-Sang;Thak, Min-Jea;Kim, Hyoun-Jin
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.12 no.1
    • /
    • pp.16-23
    • /
    • 2011
  • In this paper, nonlinear model predictive control (NMPC) is addressed to develop formation guidance for multiple unmanned aerial vehicles. An NMPC algorithm predicts the behavior of a system over a receding time horizon, and the NMPC generates the optimal control commands for the horizon. The first input command is, then, applied to the system and this procedure repeats at each time step. The input constraint and state constraint for formation flight and inter-collision avoidance are considered in the proposed NMPC framework. The performance of NMPC for formation guidance critically degrades when there exists a communication failure. In order to address this problem, the modified optimal guidance law using only line-of-sight, relative distance, and own motion information is presented. If this information can be measured or estimated, the proposed formation guidance is sustainable with the communication failure. The performance of this approach is validated by numerical simulations.