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1 | (14) |
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1 | (3) |
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1.2 Examples of Nonlinear Control Systems |
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4 | (5) |
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1.3 Organization of the Book |
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9 | (2) |
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11 | (1) |
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12 | (3) |
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13 | (2) |
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2 Fundamentals of Nonlinear Systems |
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15 | (52) |
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15 | (4) |
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19 | (3) |
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2.3 Tools for Adaptive Control |
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22 | (8) |
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2.4 Input-to-State Stability |
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30 | (6) |
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2.5 Changing Supply Function |
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36 | (9) |
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2.6 Universal Adaptive Control |
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45 | (6) |
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51 | (7) |
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58 | (1) |
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58 | (9) |
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64 | (3) |
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3 Classification of Nonlinear Control Systems |
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67 | (24) |
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3.1 Normal Form and Zero Dynamics |
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67 | (10) |
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3.2 Typical Nonlinear Control Systems |
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77 | (6) |
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3.3 Examples of Nonlinear Control Systems |
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83 | (5) |
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3.3.1 The Duffing Equation |
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83 | (1) |
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83 | (2) |
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85 | (2) |
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3.3.4 The FitzHugh-Nagumo Model |
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87 | (1) |
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88 | (1) |
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88 | (3) |
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89 | (2) |
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91 | (36) |
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4.1 An Overview of the Approach |
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91 | (3) |
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4.2 Output Feedback Systems |
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94 | (7) |
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4.3 Lower Triangular Systems |
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101 | (8) |
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4.4 Reduction of Control Gain |
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109 | (6) |
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4.5 Robust Stabilization of Chua's Circuit |
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115 | (5) |
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120 | (2) |
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122 | (5) |
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124 | (3) |
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127 | (30) |
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127 | (3) |
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5.2 Adaptive Stabilization: Tuning Functions Design |
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130 | (7) |
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5.3 Robust Adaptive Stabilization |
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137 | (14) |
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5.3.1 Systems with Relative Degree One |
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138 | (3) |
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5.3.2 Systems with High Relative Degree |
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141 | (10) |
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5.4 Adaptive Stabilization of the Duffing Equation |
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151 | (3) |
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154 | (1) |
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155 | (2) |
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156 | (1) |
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6 Universal Adaptive Stabilization |
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157 | (40) |
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6.1 Output Feedback Systems |
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157 | (6) |
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6.2 Lower Triangular Systems |
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163 | (14) |
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6.2.1 Parameterized Changing Supply Function |
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164 | (4) |
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6.2.2 A Recursive Procedure |
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168 | (4) |
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6.2.3 Controller Synthesis |
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172 | (5) |
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6.3 Unknown Control Direction |
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177 | (11) |
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6.4 Adaptive Stabilization of the Hyperchaotic Lorenz System |
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188 | (5) |
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193 | (1) |
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194 | (3) |
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195 | (2) |
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7 Robust Output Regulation: A Framework |
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197 | (42) |
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198 | (6) |
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7.2 Steady-State Generator |
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204 | (11) |
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7.2.1 Linear Immersion Assumption |
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206 | (4) |
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7.2.2 Nonlinear Immersion Assumption |
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210 | (2) |
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7.2.3 Generalized Linear Immersion Assumption |
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212 | (3) |
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215 | (5) |
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7.4 From Output Regulation to Stabilization |
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220 | (4) |
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7.5 Linear Robust Output Regulation |
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224 | (9) |
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233 | (1) |
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233 | (6) |
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236 | (3) |
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8 Global Robust Output Regulation |
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239 | (48) |
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8.1 Systems with Relative Degree One |
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239 | (10) |
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8.2 Output Feedback Systems |
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249 | (10) |
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8.3 Lower Triangular Systems |
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259 | (10) |
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269 | (5) |
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8.5 Uncertainties with Unknown Boundary |
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274 | (3) |
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8.5.1 Systems with Relative Degree One |
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274 | (1) |
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8.5.2 Output Feedback Systems |
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275 | (1) |
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8.5.3 Lower Triangular Systems |
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276 | (1) |
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8.6 Asymptotic Tracking of the Lorenz System |
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277 | (5) |
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282 | (1) |
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283 | (4) |
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285 | (2) |
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9 Output Regulation with Uncertain Exosystems |
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287 | (26) |
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9.1 Systems with Relative Degree One |
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287 | (8) |
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9.2 Systems with High Relative Degree |
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295 | (5) |
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9.3 Disturbance Rejection of Lower Triangular Systems |
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300 | (7) |
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9.4 Disturbance Rejection of the FitzHugh--Nagumo Model |
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307 | (4) |
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311 | (1) |
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311 | (2) |
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312 | (1) |
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10 Attitude Control of a Rigid Spacecraft |
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313 | (26) |
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10.1 Quaternion Based Rigid Spacecraft Model |
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313 | (3) |
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316 | (5) |
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10.3 A Special Case for Motivation |
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321 | (2) |
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10.4 Disturbance with Known Frequencies |
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323 | (7) |
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10.5 Disturbance with Unknown Frequencies |
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330 | (6) |
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10.6 Notes and References |
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336 | (3) |
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337 | (2) |
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339 | (16) |
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11.1 Some Theorems on Nonlinear Systems |
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339 | (1) |
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340 | (4) |
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11.3 Proof of Theorem 2.12 |
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344 | (8) |
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11.4 Notes and References |
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352 | (3) |
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353 | (2) |
Index |
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355 | |