• Title/Summary/Keyword: Quadratic approximation

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Syllable-Level Smoothing of Model Parameters for HMM-Based Mixed-Lingual Text-to-Speech (HMM 기반 혼용 언어 음성합성을 위한 모델 파라메터의 음절 경계에서의 평활화 기법)

  • Yang, Jong-Yeol;Kim, Hong-Kook
    • Phonetics and Speech Sciences
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    • v.2 no.1
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    • pp.87-95
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    • 2010
  • In this paper, we address issues associated with mixed-lingual text-to-speech based on context-dependent HMMs, where there are multiple sets of HMMs corresponding to each individual language. In particular, we propose smoothing techniques of synthesis parameters at the boundaries between different languages to obtain more natural quality of speech. In other words, mel-frequency cepstral coefficients (MFCCs) at the language boundaries are smoothed by applying several linear and nonlinear approximation techniques. It is shown from an informal listening test that synthesized speech smoothed by a modified version of linear least square approximation (MLLSA) and a quadratic interpolation (QI) method is preferred than that without using any smoothing technique.

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Variable Structure Control with Optimized Sliding Surface for Spacecraft Slewing Maneuver

  • Cho, Sang-Bum;Moon, Gwan-Young;Kim, You-Dan
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.1
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    • pp.65-72
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    • 2006
  • A variable structure controller with an optimized sliding surface is proposed for slew maneuver of a rigid spacecraft. Rodrigues parameters are chosen to represent the spacecraft attitude. The quadratic type of performance index is used to design the sling surface. For optimization of the sliding surface, a Hamilton- Jacobi-Bellman equation is formulated and it is solved through the numerical algorithm using Galerkin approximation. The solution denotes a nonlinear sliding surface, on which the trajectory of the system satisfies the optimality condition approximately. Simulation result demonstrates that the proposed controller is effectively applied to the slew maneuver of a rigid spacecraft.

Approximate Optimization of High-speed Train Shape and Tunnel Condition to Reduce the Micro-pressure Wave (미기압파 저감을 위한 고속전철 열차-터널 조건의 근사최적설계)

  • Kim, Jung-Hui;Lee, Jong-Soo;Kwon, Hyeok-Bin
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1023-1028
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    • 2004
  • A micro-pressure wave is generated by the high-speed train which enters a tunnel, and it causes explosive noise and vibration at the exit. It is known that train speed, train-tunnel area ratio, nose slenderness and nose shape mainly influence on generating micro-pressure wave. So it is required to minimize it by searching optimal values of such train shape factors and tunnel condition. In this study, response surface model, one of approximation models, is used to perform optimization effectively and analyze sensitivity of design variables. Owen's randomized orthogonal array and D-optimal Design are used to construct response surface model. In order to increase accuracy of model, stepwise regression is selected. Finally SQP(Sequential Quadratic Programming) optimization algorithm is used to minimize the maximum micro-pressure wave by using built approximation model.

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Shape Optimization to Minimize The Response Time of Direct-acting Solenoid Valve

  • Shin, Yujeong;Lee, Seunghwan;Choi, Changhwan;Kim, Jinho
    • Journal of Magnetics
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    • v.20 no.2
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    • pp.193-200
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    • 2015
  • Direct-acting solenoid valves are used in the automotive industry due to their simple structure and quick response in controlling the flow of fluid. We performed an optimization study of response time in order to improve the dynamic performance of a direct-acting solenoid valve. For the optimal design process, we used the commercial optimization software PIAnO, which provides various tools for efficient optimization including design of experiments (DOE), approximation techniques, and a design optimization algorithm. 35 sampling points of computational experiments are performed to find the optimum values of the design variables. In all cases, ANSYS Maxwell electromagnetic analysis software was used to model the electromagnetic dynamics. An approximate model generated from the electromagnetic analysis was estimated and used for the optimization. The best optimization model was selected using the verified approximation model called the Kriging model, and an optimization algorithm called the progressive quadratic response surface method (PQRSM).

A boundary element method based on time-stepping approximation for transient heat conduction in anisotropic solids

  • Tanaka, Masa;Matsumoto, T.;Yang, Q.F.
    • Structural Engineering and Mechanics
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    • v.4 no.1
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    • pp.61-72
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    • 1996
  • The time-stepping boundary element method has been so far applied by the authors to transient heat conduction in isotropic solids as well as in orthotropic solids. In this paper, attempt is made to extend the method to 2-D transient heat conduction in arbitrarily anisotropic solids. The resulting boundary integral equation is discretized by means of the boundary element with quadratic interpolation. The final system of equations thus obtained is solved by advancing the time step from the given initial state to the final state. Through numerical compuation of a few examples the potential usefulness of the proposed method is demonstrated.

Composite Control for Weakly Coupled Bilinear Systems with Successive Galerkin Approximation (연속적 Galerkin 근사를 이용한 정규 섭동 쌍일차 시스템에 대한 합성 제어)

  • Kim, Young-Joong;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1996-1998
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    • 2001
  • This paper presents the closed-loop composite control for weakly coupled bilinear systems with a quadratic performance criterion. The Riccati equation for weakly coupled bilinear system is decomposed into three reduced Riccati equations by the weak coupling theory, and we obtain optimal solutions of each reduced Riccati equation using successive Galerkin approximation(SGA). We design the composite control law that consists of optimal solutions of each reduced Riccati equation. The proposed algorithm reduces the disadvantages of SGA method.

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THE APPROXIMATION OF CUBIC BEZIER CURVE BY A PIECEWISE QUADRATIC BEZIER CURVES (구간적 2차 BEZIER 곡선에 의한 3차 BEZIER 곡선의 근사)

  • 박윤범
    • Journal of applied mathematics & informatics
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    • v.2 no.2
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    • pp.75-82
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    • 1995
  • 4대의 제어점에 의해 정의되는 3차 Bezier 곡선을 구간적 (piecewise) 2차 Bezier 곡선으로 근사 하는 기하적인 알고리듬을 제시한다. 또한 제시한알고리듬의 오차해석을 통하여 수정된 알 고리듬을 구성한다. 분확방법을 동시에 사용하여 주어진 허용오차 이내의 구간적 2차 근사 곡선을 구할수 있다. 제시한 알고리듬은 오차해석을 이용하여 필요한 분활의 수행회수를 미 리 결정할수있는장점을 가지고있다.

Design of an optimal controller for the discrete time bilinear system by using a successive approximation method (이산시 쌍일차 계통에서 연속적 근사화 방법을 이용한 최적제어기 설계)

  • Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.591-593
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    • 1999
  • The finite time optimum regulation problem of a discrete time bilinear system with a quadratic performance criterion is obtained in terms of a sequence discrete algebraic Lyapunov equations. Our new method is based on the successive approximations. This algorithm saves the computation time to solve the optimal problem, and the design procedure is illustrated for an example.

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ON THE HYERS-ULAM SOLUTION AND STABILITY PROBLEM FOR GENERAL SET-VALUED EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS

  • Dongwen, Zhang;John Michael, Rassias;Yongjin, Li
    • Korean Journal of Mathematics
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    • v.30 no.4
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    • pp.571-592
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    • 2022
  • By established a Banach space with the Hausdorff distance, we introduce the alternative fixed-point theorem to explore the existence and uniqueness of a fixed subset of Y and investigate the stability of set-valued Euler-Lagrange functional equations in this space. Some properties of the Hausdorff distance are furthermore explored by a short and simple way.