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عدد المساهمات : 18928 التقييم : 35294 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
![كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time Empty](https://2img.net/i/fa/empty.gif) | موضوع: كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time الثلاثاء 09 يوليو 2013, 9:13 am | |
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أخوانى فى الله أحضرت لكم كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time-Domain and Frequency-Domain Methods Jinzhi Wang • Zhisheng Duan Ying Yang • Lin Huang Peking University, China
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ويتناول الموضوعات الأتية :
Contents 1Linear Systems and Linear Matrix Inequalities 1 1.1 Controllability and observability of linear systems 1 1.1.1 Controllability and observability 2 1.1.2 Stabilizability and detectability 6 1.2 Algebraic Lyapunov equations and Lyapunov inequalities 7 1.2.1 Continuous-time algebraic Lyapunov equations 7 1.2.2 Continuous-time Lyapunov inequalities 10 1.2.3 Discrete-time algebraic Lyapunov equations and inequalities 11 1.3 Formulation related to linear matrix inequalities 12 1.3.1 Schur complements 12 1.3.2 Projection lemma 13 1.4 The S-procedure 15 1.4.1 The S-procedure for nonstrict inequalities 15 1.4.2 The S-procedure for strict inequalities 15 1.5 Kalman-Yakubovi·c-Popov (KYP) lemma and its general- ized forms 16 1.6 Notes and references 21 2LMI Approach to H1 Control 23 2.1 L1 norm and H1 norm of the systems 23 2.1.1 L1 and H1 spaces 24 2.1.2 Computing L1 and H1 norms 25 2.2 Linear fractional transformations 27 2.3 Redhe®er star product 29 2.4 Algebraic Riccati equations 30 2.4.1 Solvability conditions for Riccati equations 31 2.4.2 Discrete Riccati equations 33 2.5 Bounded real lemma 34 2.6 Small gain theorem 36 2.7 LMI approach to H1 control 37 2.7.1 Continuous-time H1 control 37 2.7.2 Discrete-time H1 control 42 2.8 Notes and references 43 3Analysis and Control of Positive Real Systems 45 3.1 Positive real systems 45 3.2 Positive real lemma 52 3.3 LMI approach to control of SPR 63 3.4 Relationship between SPR control and SBR control 66 3.5 Multiplier design for SPR 69 3.6 Notes and references 73 4Absolute Stability and Dichotomy of Lur'e Systems 75 4.1 Circle criterion of SISO Lur'e systems 75 4.2 Popov criterion of SISO Lur'e systems 80 4.3 Aizerman and Kalman conjectures 82 4.4 MIMO Lur'e systems 84 4.5 Dichotomy of Lur'e systems 89 4.6 Bounded derivative conditions 93 4.7 Notes and references 97 5Pendulum-like Feedback Systems 99 5.1 Several examples 99 5.2 Pendulum-like feedback systems 102 5.2.1 The ¯rst canonical form of pendulum-like feedback system 103 5.2.2 The second canonical form of pendulum-like feed- back system 105 5.2.3 The relationship between the ¯rst and the second forms of pendulum-like feedback systems 106 xvi Contents 5.3 Dichotomy of pendulum-like feedback systems 107 5.3.1 Dichotomy of the second form of autonomous pendulum-like feedback systems 107 5.3.2 Dichotomy of the ¯rst form of pendulum-like feed- back systems 112 5.4 Gradient-like property of pendulum-like feedback systems 114 5.4.1 Gradient-like property of the second form of pendulum-like feedback systems 114 5.4.2 Gradient-like property of the ¯rst form of pendulum-like feedback systems 117 5.5 Lagrange stability of pendulum-like feedback systems 118 5.6 Bakaev stability of pendulum-like feedback systems 124 5.7 Notes and references 129 6Controller Design for a Class of Pendulum-like Systems 131 6.1 Controller design with dichotomy or gradient-like property 131 6.1.1 Controller design with dichotomy 131 6.1.2 Controller design with gradient-like property 137 6.2 Controller design with Lagrange stability 139 6.3 Notes and references 147 7Controller Designs for Systems with Input Nonlinearities 149 7.1 Lagrange stabilizing for systems with input nonlinearities 149 7.2 Bakaev stabilizing for systems with input nonlinearities 155 7.3 Control for systems with input nonlinearities guaranteeing dichotomy 159 7.4 Notes and references 162 8Analysis and Control for Uncertain Feedback Nonlinear Systems 163 8.1 Dichotomy of systems with norm bounded uncertainties 163 8.1.1 Robust analysis for dichotomy 164 8.1.2 Robust control for systems with dichotomy 168 8.2 Dichotomy of pendulum-like systems with uncertainties 174 8.3 Controller design with dichotomy for uncertain pendulum- like systems 179 8.4 Lagrange stability for uncertain pendulum-like systems 184 8.5 Gradient-like property for pendulum-like systems with un- certainties 187 Contents xvii 8.6 Control of uncertain systems guaranteeing gradient-like property 191 8.7 Gradient-like property of systems with norm bounded un- certainties 199 8.8 Notes and references 205 9Control of Periodic Oscillations in Nonlinear Systems 207 9.1 Periodic solutions in systems with cylindrical phase space 207 9.2 Nonexistence of periodic solutions in Lur'e systems 211 9.2.1 LMI-based conditions for nonexistence of periodic solutions 211 9.2.2 Robustness analysis 213 9.2.3 Robust synthesis 214 9.3 Nonexistence of cycles of the second kind in interconnected systems 218 9.3.1 Nonexistence of cycles of the second kind in inter- connected systems 220 9.3.2 Nonlinear interconnection design 224 9.4 Cycle slipping in phase synchronization systems 228 9.5 Notes and references 236 10Interconnected Systems 237 10.1 Linearly interconnected systems 238 10.1.1 The e®ect of the unstable subsystem 238 10.1.2 Interconnected feedbacks 241 10.1.3 Decentralized controller design 244 10.1.4 The e®ect of small gain theorem 246 10.2 Interconnected Lur'e systems 250 10.3 Lagrange stability of a generalized smooth Chua circuit 252 10.4 Input and output coupled nonlinear systems 257 10.5 Notes and references 264 11Chua's Circuit 267 11.1 Chua's circuit 267 11.2 Dichotomy: application to chaos control for Chua's circuit system 270 11.3 Kalman conjecture: application to the stabilization of Chua's circuit 280 11.4 An extended Chua circuit 286 11.5 Coupled Chua circuit 288 11.6 Notes and references 293 Bibliography 295 Index
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عدد المساهمات : 654 التقييم : 694 تاريخ التسجيل : 14/11/2012 العمر : 32 الدولة : EGYPT العمل : Student الجامعة : Menoufia
![كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time Empty](https://2img.net/i/fa/empty.gif) | موضوع: رد: كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time الثلاثاء 09 يوليو 2013, 5:13 pm | |
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محمد محمد أحمد مهندس فعال جدا جدا
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عدد المساهمات : 654 التقييم : 694 تاريخ التسجيل : 14/11/2012 العمر : 32 الدولة : EGYPT العمل : Student الجامعة : Menoufia
![كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time Empty](https://2img.net/i/fa/empty.gif) | موضوع: رد: كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time الثلاثاء 09 يوليو 2013, 5:15 pm | |
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عدد المساهمات : 18928 التقييم : 35294 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
![كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time Empty](https://2img.net/i/fa/empty.gif) | موضوع: رد: كتاب Analysis and Control of Nonlinear Systems with Stationary Sets Time الثلاثاء 09 يوليو 2013, 6:35 pm | |
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