Development of control system design methods using sum-of-squares optimization and their applications to related fields

• Project/Area Number: 19360192
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Control engineering
• Research Institution: Kyushu Institute of Technology
• Principal Investigator: NOBUYAMA Eitaku Kyushu Institute of Technology, 大学院・情報工学研究院, 教授 (50205291)
• Co-Investigator(Kenkyū-buntansha): TSUCHIYA Takashi 統計数理研究所, 数理・推論研究系, 教授 (00188575) ; SEBE Noboru 九州工業大学, 大学院・情報工学研究院, 教授 (90216549) ; KAMI Yasushi 明石工業高等専門学校, 電気情報工学科, 准教授 (20413809)
• Project Period (FY): 2007 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥14,690,000 (Direct Cost: ¥11,300,000、Indirect Cost: ¥3,390,000); Fiscal Year 2009: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2008: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2007: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
• Keywords: 制御理論 / 制御系設計 / 平方和最適化 / システム同定 / 双線形システム / 状態依存リッカチ不等式 / 数値最適化 / 非線形システム / グレイボックス同定 / 入力飽和システム

Research Abstract

To develop new control system design methods using the sum-of -squares optimization we showed that many control problems which cannot be dealt with by usual linear control design methods can directly or approximately be reduced to sum-of-squares optimization problems which can be solved numerically. Moreover, we showed the efficiency of the developed methods by numerical simulations.

Research Products

• [Journal Article] An iterative method for the output feedback mixed H2/H-infinity control problem, SICE Journal of Control (2009)
  • Author(s): Yasushi Kami, Eitaku Nobuyama
  • Journal Title: Measurement, and System Integration Vol.2 Pages: 6-42
  • Peer Reviewed
• [Journal Article] 正常時制御性能と安全性, 故障時制御性能との間のバランスを考慮した制御系設計 (2009)
  • Author(s): 陶山貢一, 瀬部昇
  • Journal Title: システム制御情報学会論文集 22巻1号 Pages: 29-36
  • NAID: 10024744403
  • Peer Reviewed
• [Journal Article] An iterative method for the output-feedback mixed H_2/H_∞ control problem (2009)
  • Author(s): Yasushi Kami, Eitaku Nobuyama
  • Journal Title: SICE Journal of Control, Measurement, and System Integration 2 Pages: 36-42
  • NAID: 10031152619
  • Peer Reviewed
• [Journal Article] 正常時制御性能と安全性, 故障時制御性能との間のバランスを考慮した制御系設計 (2009)
  • Author(s): 陶山貢一, 瀬部昇
  • Journal Title: システム制御情報学会論文集 22-1 Pages: 29-36
  • NAID: 10024744403
  • Peer Reviewed
• [Presentation] An Exterior-point Approach to the Robust D-stability Control Problem (2009)
  • Author(s): Y.Kami, H.Tanaka, E.Nobuyama
  • Organizer: The 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
  • Place of Presentation: Shanghai, China
  • Year and Date: 2009-12-16
• [Presentation] An exterior-point approach to the fixed-order mixed H∞/D-stability controller design (2009)
  • Author(s): T.Terada, Y.Kami, E.Nobuyama
  • Organizer: 7th International Conference on Control and Automation
  • Place of Presentation: Christchurch, New Zealand
  • Year and Date: 2009-12-10
• [Presentation] 出力の過渡応答拘束を満たすための目標値整形 (2009)
  • Author(s): 三上淳, 延山英沢, 上泰
  • Organizer: 第28回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 福岡市
  • Year and Date: 2009-11-28
• [Presentation] ロバストD-安定制御問題に対する外点法 (2009)
  • Author(s): 上, 田中, 延山
  • Organizer: 第28回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 福岡市
  • Year and Date: 2009-11-28
• [Presentation] 1-out-of-m Integrity問題におけるランク制約された状態フィードバックゲインについて (2009)
  • Author(s): 花咲, 瀬部
  • Organizer: 第28回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 福岡市
  • Year and Date: 2009-11-28
• [Presentation] 虚軸のシフトを利用した低次のH∞制御器設計問題に対する外点法とその応用 (2009)
  • Author(s): 上, 寺田, 延山
  • Organizer: 第52回自動制御連合講演会
  • Place of Presentation: 豊中市
  • Year and Date: 2009-11-21
• [Presentation] A fixed-order D-stability controller design with an output feedback using a modified exterior-point approach (2009)
  • Author(s): T.Terada, Y.Kami, E.Nobuyama
  • Organizer: The 7th Asian Control Conference
  • Place of Presentation: Hong Kong, China
  • Year and Date: 2009-08-28
• [Presentation] A successive method for designing an observer-based strictly positive real H2 controller (2009)
  • Author(s): Y.Kami, K.Mitsui, E.Nobuyama
  • Organizer: The 7th Asian Control Conference
  • Place of Presentation: Hong Kong, China
  • Year and Date: 2009-08-28
• [Presentation] 有色雑音を含む連続時間グレーボックスモデルの平方和最適化を用いたシステム同定 (2009)
  • Author(s): 高口大樹, 延山英沢
  • Organizer: 第53回システム制御情報学会研究発表講演会
  • Place of Presentation: 神戸市
  • Year and Date: 2009-05-21
• [Presentation] A new exterior-point approach to a fixed-order output feedback controller design (2009)
  • Author(s): Y.Kami, E.Nobuyama
  • Organizer: IFAC Workshop on Control Applications of Optimisation 2009
  • Place of Presentation: Agora, Finland
  • Year and Date: 2009-05-07
• [Presentation] D安定制御問題に対する外点法の改良 (2009)
  • Author(s): 上泰, 延山英沢
  • Organizer: 第9回計測自動制御学会制御部門大会
  • Place of Presentation: 広島
  • Year and Date: 2009-03-06
• [Presentation] 多項式セクター条件を用いた入力飽和システムの安定性の改善 (2008)
  • Author(s): 三上淳, 延山英沢
  • Organizer: 第27回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 那覇市
  • Year and Date: 2008-11-29
• [Presentation] 領域極配置制御問題に対する外点法の改善について (2008)
  • Author(s): 上泰, 延山英沢
  • Organizer: 第27回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 那覇
  • Year and Date: 2008-11-29
• [Presentation] 多項式セクター条件を用いた入力飽和システムの安定性の改善 (2008)
  • Author(s): 三上淳, 延山英沢
  • Organizer: 第27回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 那覇
  • Year and Date: 2008-11-29
• [Presentation] 逐次LMI化手法と双対反復法の関係について (2008)
  • Author(s): 瀬部昇
  • Organizer: 第51回自動制御連合後援会
  • Place of Presentation: 米沢
  • Year and Date: 2008-11-23
• [Presentation] オブザーバ型制御器の正実性に関する一考察, -カルマンフィルタゲインを利用したLMI化と正実制御器設計への応用- (2008)
  • Author(s): 上泰, 延山英沢
  • Organizer: 第37回制御理論シンポジウム
  • Place of Presentation: 霧島
  • Year and Date: 2008-09-19
• [Presentation] 切替が一回だけ生じる線形システムのL2ゲイン解析 (2008)
  • Author(s): 瀬部昇, 陶山貢一
  • Organizer: 第37回制御理論シンポジウム
  • Place of Presentation: 霧島
  • Year and Date: 2008-09-18
• [Presentation] New LMI Characterization for discrete-time descriptor systems and application to multiobjective control system synthesis (2008)
  • Author(s): Noboru Sebe
  • Organizer: 7th IFAC World Congress
  • Place of Presentation: Seoul
  • Year and Date: 2008-07-09
• [Presentation] New LMI. Characterization for Discrete-Time Descriptor Systems and Application to Multiobjective Control System Synthesis (2008)
  • Author(s): Noboru Sebe
  • Organizer: 17th IFAC World Congress
  • Place of Presentation: ソウル, 韓国
  • Year and Date: 2008-07-09
• [Presentation] 逐次LMI化手法のロバスト制御系設計への適用 (2008)
  • Author(s): 瀬部 昇
  • Organizer: 第8回計測自動制御学会制御部門大会
  • Place of Presentation: 京都
  • Year and Date: 2008-03-06
• [Presentation] 伝達関数を基にしたSOS最適化によるグレーボックスモデル同定 (2007)
  • Author(s): 渡辺靖洋, 延山英沢
  • Organizer: 第26回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 鹿児島市
  • Year and Date: 2007-12-01
• [Presentation] SOS最適化を用いた双線形システムに対するオブザーバの設計法 (2007)
  • Author(s): 高口大樹, 延山英沢
  • Organizer: 第26回計測自動制御学会九州支部学術講演会
  • Place of Presentation: 鹿児島市
  • Year and Date: 2007-12-01
• [Presentation] Geometric analysis of central trajectories and interior-point (2007)
  • Author(s): Takashi Tsuchiya
  • Organizer: International Conference on Continuous Optimization
  • Place of Presentation: ハミルトン
  • Year and Date: 2007-08-16
• [Presentation] Geometrical analysis of central trajectories and interior・point (2007)
  • Author(s): Takashi Tsuchiya
  • Organizer: International Conference on Continuous Optimization
  • Place of Presentation: ハミルトン,カナダ
  • Year and Date: 2007-08-16
• [Presentation] A New Dilated LMI Characterization and Iterative Control System Synthesis (2007)
  • Author(s): Noboru Sebe
  • Organizer: 11th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems:Theory and Applications
  • Place of Presentation: グダンスク,ポーランド
  • Year and Date: 2007-07-24
• [Presentation] Geometric structure of the central trajectories and complexity of interior・point (2007)
  • Author(s): Takashi Tsuchiya
  • Organizer: 6^<th> International Congress on Industrial and Applied Mathematics
  • Place of Presentation: チューリッヒ,スイス
  • Year and Date: 2007-07-18