• Title/Summary/Keyword: stochastic control systems

Search Result 239, Processing Time 0.024 seconds

Nanoscale Dynamics, Stochastic Modeling, and Multivariable Control of a Planar Magnetic Levitator

  • Kim, Won-Jong
    • International Journal of Control, Automation, and Systems
    • /
    • v.1 no.1
    • /
    • pp.1-10
    • /
    • 2003
  • This paper presents a high-precision magnetically levitated (maglev) stage to meet demanding motion specifications in the next-generation precision manufacturing and nanotechnology. Characterization of dynamic behaviors of such a motion stage is a crucial task. In this paper, we address the issues related to the stochastic modeling of the stage including transfer function identification, and noise/disturbance analysis and prediction. Provided are test results on precision dynamics, such as fine settling, effect of optical table oscillation, and position ripple. To deal with the dynamic coupling in the platen, we designed and implemented a multivariable linear quadratic regulator, and performed time-optimal control. We demonstrated how the performance of the current maglev stage can be improved with these analyses and experimental results. The maglev stage operates with positioning noise of 5 nm rms in $\chi$ and y, acceleration capabilities in excess of 2g(20 $m/s^2$), and closed-loop crossover frequency of 100 Hz.

Fault Tolerant Controller Design for Linear Stochastic Systems with Uncertainties (불확실성을 갖는 선형 확률적 시스템에 대한 고장허용제어기 설계)

  • Lee, Jong-Hyo;Yoo, Jun
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.9 no.2
    • /
    • pp.107-116
    • /
    • 2003
  • This paper presents a systematic design methodology for fault tolerant controller against a fault in actuators and sensors of linear stochastic systems with uncertainties. The scheme is based on fault detection and diagnosis(isolation and estimation) using a bank of robust two-stage Kalman filters, and accommodation of the actuator fault by eigenstructure assignment and immediate compensation of the sensor's faulty measurement. In order to clarify the fault feature in test statistics of residual, noise reduction method is given by multi-scale discrete wavelet transform. The effectiveness of our approach Is shown via simulations for a VTOL(vertical take-off and landing) aircraft subjected to parameter variations, external disturbances, process and sensor noises.

Fault Diagnosis and Accommodation of Linear Stochastic Systems with Unknown Disturbances

  • Lee, Jong-Hyo;Joon Lyou
    • Transactions on Control, Automation and Systems Engineering
    • /
    • v.4 no.4
    • /
    • pp.270-276
    • /
    • 2002
  • An integrated robust fault diagnosis and fault accommodation strategy for a class of linear stochastic systems subjected to unknown disturbances is presented under the assumption that only a single fault may occur at a given time. The strategy is based on the fault isolation and estimation using a bank of robust two-stage Kalman filters and introduction of the additive compensation input for cancelling out the fault's effect on the system. Each filter is set up such that the residual is decoupled from unknown disturbances and fault with the influence vector designed in the filter. Simulation results for the simplified longitudinal flight control system with parameter uncertainties, process and sensor noises demonstrate the effectiveness of the present approach.

Receding Horizon FIR Parameter Estimation for Stochastic Systems

  • Lee, Kwan-Ho;Han, Soo-Hee;Lee, Changhun;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.159.1-159
    • /
    • 2001
  • A new time-domain FIR parameter estimation called the receding horizon least square estimation (RHLSE) is suggested for stochastic systems by combining the well known least square estimation with the receding horizon strategy. It can be always obtained without the requirement of any \textit{a priori} information about the horizon initial parameter. A fast algorithm for the suggested estimation is also presented which is remarkable in the view of computational advantage and simple implementation. It is shown that the proposed estimation is robust against temporary modeling uncertainties due to their FIR structure through simulation studies.

  • PDF

Object-Oriented Programming Based Chip-Mounter Simulator Using Stochastic Petri Nets (확률 페트리 네트를 이용한 객체기향 기반의 칩마운터 시뮬레이터 구현)

  • Park, Gi-Beom;Park, Tae-Hyoung
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.7 no.6
    • /
    • pp.540-549
    • /
    • 2001
  • An implementation method for chip-mounter simulator is proposed to improve the productivity and utility of electronic assembly lines. The simulator emulates the assembly sequence graphically to verify the chip mounter program in offline. It also presents functions of time estimation and productivity analysis considering the error probability. To increase the flexibility of simulator, stochastic petri nets are applied to modeling of the assembly sequence. The sequence model is then implemented as extendable classes by an object oriented language. The simulator is applied to a commercial chip mounter to verify the usefulness of the method proposed.

  • PDF

On Convergence and Parameter Selection of an Improved Particle Swarm Optimization

  • Chen, Xin;Li, Yangmin
    • International Journal of Control, Automation, and Systems
    • /
    • v.6 no.4
    • /
    • pp.559-570
    • /
    • 2008
  • This paper proposes an improved particle swarm optimization named PSO with Controllable Random Exploration Velocity (PSO-CREV) behaving an additional exploration behavior. Different from other improvements on PSO, the updating principle of PSO-CREV is constructed in terms of stochastic approximation diagram. Hence a stochastic velocity independent on cognitive and social components of PSO can be added to the updating principle, so that particles have strong exploration ability than those of conventional PSO. The conditions and main behaviors of PSO-CREV are described. Two properties in terms of "divergence before convergence" and "controllable exploration behavior" are presented, which promote the performance of PSO-CREV. An experimental method based on a complex test function is proposed by which the proper parameters of PSO-CREV used in practice are figured out, which guarantees the high exploration ability, as well as the convergence rate is concerned. The benchmarks and applications on FCRNN training verify the improvements brought by PSO-CREV.

Dynamic Output-Feedback Controller Design for Stochastic Time-Delay Systems (스토캐스틱 시간지연 시스템을 위한 동적 출력궤환 제어기 설계)

  • Choi, Hyoun-Chul;Jung, Jin-Woo;Shim, Hyung-Bo;Seo, Jin-H.
    • Proceedings of the KIEE Conference
    • /
    • 2008.10b
    • /
    • pp.462-463
    • /
    • 2008
  • This paper proposes a method for dynamic output-feedback controller design for stochastic time-delay systems. Based on recent results on time-delay systems control, a tractable and delay-dependent design condition is proposed, which provides a dynamic output-feedback controller to render the closed-loop stochastic time-delay systems to be asymptotically stable in the mean-square sense. The feasibility problem of the proposed condition is recast into a cone complementarity problem. An algorithm adopting cone complementarity linearization is presented to solve the resulting problem.

  • PDF

State estimation of stochastic bilinear system (추계 이선형 시스템의 상태추정)

  • 황춘식
    • 전기의세계
    • /
    • v.30 no.11
    • /
    • pp.728-733
    • /
    • 1981
  • Most of real world systems are highly non-linear. But due to difficulties in analyzing and dealing with it, only the linear system theory is well estabilished. Bilinear system where state and control are linear but not linear jointly is introduced. Here shows that optimal state estimation of stochastic bilinear system requirs infinite dimensional filter, thus onesub-optimal estimator for this system is suggested.

  • PDF

Optimal control of stochastic continuous discrete systems applied to FMS

  • Boukas, E.K.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1989.10a
    • /
    • pp.733-743
    • /
    • 1989
  • This paper deals with the control of system with controlled jump Markov disturbances. A such formulation was used by Boukas to model the planning production and maintenance of a FMS with failure machines. The optimal control problem of systems with controlled jump Markov process is addressed. This problem describes the planning production and preventive maintenance of production systems. The optimality conditions in both cases finite and infinite horizon, are derived. A numerical example is presented to validate the proposed results.

  • PDF

Performance analysis of fieldbus systems using Petri net (페리네트를 이용한 필드버스 시스템의 성능 해석)

  • Park, Hong-Seong;Lee, Jae-Soo;Hong, Seong-Soo
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.2 no.3
    • /
    • pp.220-228
    • /
    • 1996
  • This paper presents a extended stochastic Petri net (ESPN) model for CTN(Circulated Token with No duration) service in the data link layer of IEC/ISA fieldbus. It is assumed that a station on the fieldbus has a specified minimum token holding time, a finite capacity buffer, and one transmitter queue with the highest priority. The mean transmission (or service) time at a station and the mean token rotation time for the symmetric fieldbus system atr derived using the presented SPN model and the moment generating function. These performance measures are represented in terms of the minimum token holding time, the number of stations, the arrival rate of messages, and the mean length of messages. The presented performance measure are validated by computer simulations.

  • PDF