Optimal sampled-data control systems
著者
書誌事項
Optimal sampled-data control systems
（Communications and control engineering）
Springer, c1995
- : softcover
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注記
Includes bibliographical references (p. [357]-367) and index
内容説明・目次
- 巻冊次
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: softcover ISBN 9781447130390
内容説明
Among the many techniques for designing linear multivariable analogue controllers, the two most popular optimal ones are H2 and H-infinity optimization. The fact that most new industrial controllers are digital provides strong motivation for adapting or extending these techniques to digital control systems. This book, now available as a corrected reprint, attempts to do so. Part I presents two indirect methods of sampled-data controller design: These approaches include approximations to a real problem, which involves an analogue plant, continuous-time performance specifications, and a sampled-data controller. Part II proposes a direct attack in the continuous-time domain, where sampled-data systems are time-varying. The findings are presented in forms that can readily be programmed in, e.g., MATLAB.
目次
1 Introduction.- 1.1 Sampled-Data Systems.- 1.2 Approaches to SD Controller Design.- 1.3 Notation.- Exercises.- Notes and References.- 1 Indirect Design Methods.- 2 Overview of Continuous-Time H2- and H?-Optimal Control.- 2.1 Norms for Signals and Systems.- 2.2 H2-Optimal Control.- 2.3 H?-Optimal Control.- Notes and References.- 3 Discretization.- 3.1 Step-Invariant Transformation.- 3.2 Effect of Sampling.- 3.3 Step-Invariant Transformation Continued.- 3.4 Bilinear Transformation.- 3.5 Discretization Error.- Exercises.- Notes and References.- 4 Discrete-Time Systems: Basic Concepts.- 4.1 Time-Domain Models.- 4.2 Frequency-Domain Models.- 4.3 Norms.- 4.4 Multivariable Systems.- 4.5 Function Spaces.- 4.6 Optimal Discretization of Analog Systems.- Exercises.- Notes and References.- 5 Discrete-Time Feedback Systems.- 5.1 Connecting Subsystems.- 5.2 Observer-Based Controllers.- 5.3 Stabilization.- 5.4 All Stabilizing Controllers.- 5.5 Step Tracking.- Exercises.- Notes and References.- 6 Discrete-Time H2-Optimal Control.- 6.1 The LQR Problem.- 6.2 Symplectic Pair and Generalized Eigenproblem.- 6.3 Symplectic Pair and Riccati Equation.- 6.4 State Feedback and Disturbance Feedforward.- 6.5 Output Feedback.- 6.6 H2-Optimal Step Tracking.- 6.7 Transfer Function Approach.- Exercises.- Notes and References.- 7 Introduction to Discrete-Time H?-Optimal Control.- 7.1 Computing the H?-Norm.- 7.2 Discrete-Time H?-Optimization by Bilinear Transformation..- Exercises.- Notes and References.- 8 Fast Discretization of SD Feedback Systems.- 8.1 Lifting Discrete-Time Signals.- 8.2 Lifting Discrete-Time Systems.- 8.3 Fast Discretization of a SD System.- 8.4 Design Examples.- 8.5 Simulation of SD Systems.- Exercises.- Notes and References.- II Direct SD Design.- 9 Properties of S and H.- 9.1 Review of Input-Output Stability of LTI Systems.- 9.2 M. Riesz Convexity Theorem.- 9.3 Boundedness of S and H.- 9.4 Performance Recovery.- Exercises.- Notes and References.- 10 Continuous Lifting.- 10.1 Lifting Continuous-Time Signals.- 10.2 Lifting Open-Loop Systems.- 10.3 Lifting SD Feedback Systems.- 10.4 Adjoint Operators.- 10.5 The Norm of SG.- 10.6 The Norm of GH.- 10.7 Analysis of Sensor Noise Effect.- Exercises.- Notes and References.- 11 Stability and Tracking in SD Systems.- 11.1 Internal Stability.- 11.2 Input-Output Stability.- 11.3 Robust Stability.- 11.4 Step Tracking.- 11.5 Digital Implementation and Step Tracking.- 11.6 Tracking Other Signals.- Exercises.- Notes and References.- 12 H2-Optimal SD Control.- 12.1 A Simple ?2 SD Problem.- 12.2 Generalized ?2 Measure for Periodic Systems.- 12.3 Generalized ?2 SD Problem.- 12.4 Examples.- Exercises.- Notes and References.- 13 H?-Optimal SD Control.- 13.1 Frequency Response.- 13.2 H?-Norm in the Frequency Domain.- 13.3 H?-Norm Characterization.- 13.4 H? Discretization of SD Systems.- 13.5 Computing the L2(0,h)-Induced Norm.- 13.6 Computing the Matrices in G eq,d.- 13.7 H? SD Analysis.- 13.8 H? SD Synthesis.- Exercises.- Notes and References.- A State Models.
- 巻冊次
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ISBN 9783540199496
内容説明
Among the many techniques for designing linear multivariable analogue controllers, the two most popular optimal ones are H2 and H1 optimization. The fact that most new industrial controllers are digital provides strong motivation for adapting or extending these techniques to digital control systems. This text attempts to do so. Part One presents two indirect methods of sampled-data controller design: These approaches include approximations to a real problem, which involves an analogue plant, continuous-time performance specifications, and a sampled-data controller. Part Two proposes a direct attack in the continuous-time domain, where sampled-data systems are time-varying. The findings are pesented in forms that can readily be programmed in, for example in MATLAB.
目次
Part I presents two indirect methods of sampled-data controller design: These approaches include approximations to a real problem, which involves an analogue plant, continuous-time performance specifications, and a sampled-data controller. Part II proposes a direct attack in the continuous-time domain, where sampled-data systems are time-varying. The findings are presented in forms that can readily be programmed in, e.g., MATLAB.
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