現(xiàn)代魯棒控制理論與應(yīng)用

第1章 緒論                  
                   
 第2章 數(shù)學(xué)基礎(chǔ)                  
                   
 2.1 向量和矩陣的范數(shù)                  
 2.2 矩陣奇異值                  
 2.3 函數(shù)的范數(shù)                  
 2.4 算子及其范數(shù)                  
 2.5 Lyapunov方程                  
 2.6 Riccati方程                  
 2.7 正實(shí)性                  
 2.8 Hamilton-Jacobi-Bellman方程                  
                   
 第3章 穩(wěn)定性                  
                   
 3.1 BIBO穩(wěn)定性                  
 3.2 小增益定理                  
 3.3 Lyapunov穩(wěn)定性                  
 3.4 Lyapunov穩(wěn)定性                  
 3.5 La Salle不變集原理                  
 3.6 終值定理                  
                   
 第4章 魯棒控制基礎(chǔ)                  
                   
 4.1 魯棒控制基本思想                  
 4.2 不確定性的描述                  
 4.3 線性不確定系統(tǒng)頻域模型                  
 4.4 魯棒穩(wěn)定性的頻域判據(jù)                  
 4.5 魯棒穩(wěn)定性的時(shí)域判定條件                  
 4.6 絕對穩(wěn)定性                  
 4.7 魯棒性能準(zhǔn)則及其充分條件                  
                   
 第5章 線性魯棒控制系統(tǒng)設(shè)計(jì)                  
                   
 5.1 控制問題                  
 5.2 Riccai方程解法                  
 5.3 LMI解法                  
 5.4 定理5.1的證明                  
 5.5 一般被控對象建劃原則                  
 5.6 u設(shè)計(jì)與魯棒性能                  
 5.7 魯棒性能的充分必要條件                  
 5.8 D-K遞推設(shè)計(jì)法                  
 5.9 參數(shù)攝動的抽出法                  
                   
 第6章 非線性系統(tǒng)魯棒控制基礎(chǔ)                  
                   
 6.1 無源性與穩(wěn)定性                  
 6.2 耗散性與L2性能準(zhǔn)則                  
 6.3 L2增益與HJI不等式                  
 6.4 存儲函數(shù)的遞推設(shè)計(jì)                  
 6.5 坐標(biāo)變換與反饋等價(jià)性                  
 6.6 非線性系統(tǒng)的標(biāo)準(zhǔn)性                  
 6.7 非線性系統(tǒng)的鏈?zhǔn)浇Y(jié)構(gòu)                  
                   
 第7章 非線性魯棒鎮(zhèn)定                  
                   
 7.1 不確定系統(tǒng)的描述                  
 7.2 無源化設(shè)計(jì)基礎(chǔ)                  
 7.3 魯棒無源性                  
 7.4 魯棒鎮(zhèn)定控制器設(shè)計(jì)                  
 7.5 魯棒控制器的推廣                  
                   
 第8章 非線性系統(tǒng)魯棒性能準(zhǔn)則設(shè)計(jì)                  
                   
 8.1 L2性能準(zhǔn)則設(shè)計(jì)問題                  
 8.2 基于HJI不等式的設(shè)計(jì)方法                  
 8.3 匹配條件與存儲函數(shù)                  
 8.4 L2性能準(zhǔn)則問題的遞推解法                  
 8.5 魯棒L2性能準(zhǔn)則問題                  
                   
 第9章 具有自適應(yīng)功能的魯棒控制器設(shè)計(jì)                  
                   
 9.1 參數(shù)不確定性及自適應(yīng)功能                  
 9.2 自適應(yīng)控制器                  
 9.3 調(diào)整函數(shù)                  
 9.4 自適應(yīng)魯棒控制器                  
 9.5 自適應(yīng)魯棒L2性能設(shè)計(jì)                  
                   
 第10章 線性魯棒控制設(shè)計(jì)實(shí)例                  
                   
 10.1 汽車離合器變速緩沖裝置                  
 10.2 礦車速度控制                  
 10.3 STATCOM（靜止無功補(bǔ)償器）內(nèi)部控制                  
 10.4 三峽輸電系統(tǒng)TCSC（可控串補(bǔ)）控制                  
                   
 第11章 非線性魯棒控制設(shè)計(jì)實(shí)例                  
                   
 11.1 單機(jī)系統(tǒng)L2增益干擾抑制勵磁控制器                  
 11.2 多機(jī)系統(tǒng)分散L2增益干擾抑制控制器                  
 11.3 勵磁系統(tǒng)非線性自適應(yīng)控制器                  
                   
 附錄                  
                   
 附錄A Minkovski不等式的證明                  
 附錄B 例5.4中硬盤設(shè)計(jì)用mfile                  
 附錄C 例5.9中硬盤u設(shè)計(jì)用mfile                  
 附錄D 6機(jī)仿真系統(tǒng)數(shù)據(jù)                  
 附錄E 注11.4的證明                  
 附錄F 定理11.3的證明                  
 附錄G 定理11.4的證明                  
                   
 名詞索引                  
 參考文獻(xiàn)