• Title/Summary/Keyword: state matrix

Search Result 1,545, Processing Time 0.027 seconds

Pole Placement by an LQ Controller (LQ 제어기에 의한 극배치 방법)

  • Park, Min-Ho
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.15 no.3
    • /
    • pp.249-254
    • /
    • 2009
  • This paper studies the problem of pole placement by an LQ controller for system having two distinct real poles. Using the so-called Pole's Moving Range (PMR) drawn in the s-plane and relational equations between closed-loop system poles and weighting matrices, we calculate the state weighting matrix to move two distinct real poles to a pair of complex poles. By numerical examples, we show that the proposed method is applied to improve system performance.

LQ-servo method for non-minimum phase plants (비최소 위상 플랜트에서 LQ-servo 방법)

  • 서병설;장태우
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.33B no.3
    • /
    • pp.9-16
    • /
    • 1996
  • LQ-servo is a robustness guaranteed multivariable controller design method based on the LQR structure to improve command following with output feedback. in this paper we introduce a weighting factor on the low frequency part of the state weighting matrix in the performance index in order to increase the low frequency gain of loop transfer function matrix T(s) in the loop shaping design method.

  • PDF

EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING

  • Beasley, LeRoy B.;Heo, Seong-Hee;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
    • /
    • v.51 no.1
    • /
    • pp.113-123
    • /
    • 2014
  • The term rank of a matrix A over a semiring $\mathcal{S}$ is the least number of lines (rows or columns) needed to include all the nonzero entries in A. In this paper, we characterize linear operators that preserve the sets of matrix ordered pairs which satisfy extremal properties with respect to term rank inequalities of matrices over nonbinary Boolean semirings.

Dynamic Power Management Structure for Energy Harvesting Pervasive Computing System

  • Bae, Hyeoungho;Kim, Dong-Sung
    • IEMEK Journal of Embedded Systems and Applications
    • /
    • v.1 no.1
    • /
    • pp.1-7
    • /
    • 2006
  • In this paper, a novel power management structure for an energy harvesting pervasive system is proposed. The system considers the power state of each subsystem to assign proper power sources. The switch matrix structure utilizes each power source to reduce the peak current of the battery. The power management structure can be interfaced to an embedded system power supply without significant design change.

  • PDF

Vector algorithm for reinforced concrete shell element stiffness matrix

  • Min, Chang Shik;Gupta, Ajaya Kumar
    • Structural Engineering and Mechanics
    • /
    • v.2 no.2
    • /
    • pp.125-139
    • /
    • 1994
  • A vector algorithm for calculating the stiffness matrices of reinforced concrete shell elements is presented. The algorithm is based on establishing vector lengths equal to the number of elements. The computational efficiency of the proposed algorithm is assessed on a Cray Y-MP supercomputer. It is shown that the vector algorithm achieves scalar-to-vector speedup of 1.7 to 7.6 on three moderate sized inelastic problems.

A Study on Two-Dimensional Positioning Algorithms Based on GPS Pseudorange Technique

  • Ko, Kwang-Soob;Choi, Chang-Mook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 2010.10a
    • /
    • pp.705-708
    • /
    • 2010
  • In the paper, we have studied on algorithms for two-dimensional positioning based on GPS pseudorange Technique. First, the linearized state equation was mathematically derived based on GPS pseudorange technique. Second, the geometry model with respect to triangles formed using unit-vectors were proposed for investigation of land-based radio positioning. Finally, the corresponding mathematical formulations for DOP values and covariance matrix were designed for two-dimensional positioning.

  • PDF

Receding horizon controller deign for fuzzy systems with input constraints

  • Jeong, Seung-Cheol;Choi, Doo-Jin;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.83.4-83
    • /
    • 2002
  • $\bullet$ We present a state-feedback RHC for discrete-time TS fuzzy systems with input constriants. $\bullet$ The controller employ the current and one-step past information on the fuzzy weighting functions. $\bullet$ It is obtained from the finite horizon optimization problem with the invariant ellipsoid constraint $\bullet$ Under parameterized LMI conditions on the terminal weighting matrix $\bullet$ The closed-loop system stability is guaranteed. $\bullet$ The parameterized linear matrix inequalities are relaxed to a finite number of solvable LMIs.

  • PDF

Robust Adaptive Control for a Sort of Uncertain Systems (일련의 불확실한 시스템에 대한 강인한 적응제어)

  • 김진환;이정휴;함운철
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.30B no.3
    • /
    • pp.22-30
    • /
    • 1993
  • In this paper, robust adaptive control algorithms which can be applied to unknown uncertain systems are suggested. Transform matrix for dividing states into "uncontrolled" states and "controlled" states and general searching procedure for the transform matrix which assign arbitrary n-1 eigen values for the uncontrolled subsystem of n-th orther single-input single-output systems of which state variables can be observable are also studied and utilized for the design of new-type controllers. We drived new-type control laws by using adaptive control theory and variable structure system and its stability is proved by using Lyapunov stability theory.

  • PDF

THE M/G/1 QUEUE WITH MARKOV MODULATED FEEDBACK

  • Han, Dong-Hwan;Park, Chul-Geun
    • Journal of applied mathematics & informatics
    • /
    • v.5 no.3
    • /
    • pp.827-837
    • /
    • 1998
  • We consider the M/G/1 queue with instantaneous feed-back. The probabilities of feedback are determined by the state of the underlaying Markov chain. by using the supplementary variable method we derive the generating function of the number of customers in the system. In the analysis it is required to calculate the matrix equations. To solve the matrix equations we use the notion of Ex-tended Laplace Transform.

THE QUEUE LENGTH DISTRIBUTION OF PHASE TYPE

  • Lim, Jong-Seul;Ahn, Seong-Joon
    • Journal of applied mathematics & informatics
    • /
    • v.24 no.1_2
    • /
    • pp.505-511
    • /
    • 2007
  • In this paper, we examine the Markov chain $\{X_k,\;N_k;\;k=0,\;1,...$. We show that the marginal steady state distribution of Xk is discrete phase type. The implication of this result is that the queue length distribution of phase type for large number of examples where this Markov chain is applicable and shows a queueing application by matrix geometric methods.