TY  - BOOK
AU  - Boĭko,I.I.
TI  - Discontinuous control systems: frequency-domain analysis and design 
SN  - 081764752X
AV  - QA402.35 .B65 2009
U1  - 629.8312 22
PY  - 2009///
CY  - Boston, Mass.
PB  - Birkhäuser
KW  - Nonlinear control theory
KW  - Frequencies of oscillating systems
N1  - Includes bibliographical references and index; Part I; The locus of a perturbed relay system theory --; 1; The servo problem in discontinuous control systems --; 1.1; Introduction --; 1.2; Fundamentals of frequency-domain analysis of periodic --; 1.3; Relay servo systems --; 1.4; Symmetric oscillations in relay servo systems: DF analysis --; 1.5; Asymmetric oscillations in relay servo systems: DF analysis --; 1.6; Slow signal propagation through a relay servo system --; 1.7; Conclusions --; 2; The locus of a perturbed relay system (LPRS) theory --; 2.1; Introduction to the LPRS --; 2.2; Computing the LPRS for a non-integrating plant --; 2.2.1; Matrix state-space description approach --; 2.2.2; Partial fraction expansion technique --; 2.2.3; Transfer function description approach --; 2.2.4; Orbital stability of relay systems --; 2.3; Computing the LPRS for an integrating plant --; 2.3.1; Matrix state-space description approach --; 2.3.2; Transfer function description approach --; 2.3.3; Orbital stability of relay systems --; 2.4; Computing the LPRS for a plant with a time delay --; 2.4.1; Matrix state-space description approach --; 2.4.2; Orbital asymptotic stability --; 2.5; LPRS of first-order dynamics --; 2.6; LPRS of second-order dynamics --; 2.7; LPRS of first-order plus dead-time dynamics --; 2.8; Some properties of the LPRS --; 2.9; LPRS of nonlinear plants --; 2.9.1; Additivity property --; 2.9.2; The LPRS extended definition and open-loop LPRS --; 2.10; Application of periodic signal mapping to computing --; 2.11; Comparison of the LPRS with other methods of analysis --; 2.12; An example of analysis of oscillations and transfer properties --; 2.13; Conclusions --; 3; Input-output analysis of relay servo systems --; 3.1; Slow and fast signal propagation through a relay --; 3.2; Methodology of input-output analysis --; 3.3; Example of forced motions analysis with the use of the LPRS --; 3.4; Conclusions --; 4; Analysis of sliding modes in the frequency domain --; 4.1; Introduction to sliding mode control --; 4.2; Representation of a sliding mode system via the equivalent --; 4.3; Analysis of motions in the equivalent relay system --; 4.4; The chattering phenomenon and its LPRS analysis --; 4.5; Reduced-order and non - reduced-order models of averaged --; 4.6; On fractal dynamics in sliding-mode control --; 4.7; Examples of chattering and disturbance attenuation analysis --; 4.8; Conclusions --; 5; Performance analysis of second-order SM --; 5.1; Introduction --; 5.2; Sub-optimal algorithm --; 5.3; Describing function analysis of chattering --; 5.4; Exact frequency-domain analysis of chattering --; 5.5; Describing function analysis of external signal propagation --; 5.6; Exact frequency-domain analysis of external signal --; 5.7; Example of the analysis of sub-optimal algorithm --; 5.8; Conclusions --; Part II; Applications of the locus of a perturbed relay system --; 6; Relay pneumatic servomechanism design --; 6.1; Relay pneumatic servomechanism dynamics --; 6.2; LPRS analysis of uncompensated relay electro-pneumatic --; 6.3; Compensator design in the relay electro-pneumatic --; 6.4; Examples of compensator design in the relay --; 6.5; Compensator design in the relay electro-pneumatic --; 6.6; Conclusions --; 7; Relay feedback test identification and autotuning --; 7.1; The relay feedback test --; 7.2; The LPRS and asymmetric relay feedback test --; 7.3; Methodology of identification of the first-order plus --; 7.4; Analysis of potential sources of inaccuracy --; 7.5; Performance analysis of the identification algorithm --; 7.6; Tuning algorithm --; 7.7; Conclusions --; 8; Performance analysis of the sliding mode - based analog --; 8.1; Transfer function “inversion” via sliding mode --; 8.2; Analysis of SM differentiator dynamics --; 8.3; Temperature sensor dynamics compensation --; 8.4; Analysis of the sliding mode compensator --; 8.5; An example of compensator design --; 8.6; Conclusions --; 9; Analysis of sliding mode observers --; 9.1; The SM observer as a relay servo system --; 9.2; SM observer performance analysis and characteristics --; 9.3; Example of SM observer performance analysis --; 9.4; Conclusions --; 10; Appendix --; 10.1; The LPRS derivation for a non-integrating linear part --; 10.2; Orbital stability of a system with a non-integrating linear part --; 10.3; The LPRS derivation for an integrating linear part --; 10.4; Orbital stability of a system with an integrating linear part --; 10.5; The LPRS derivation for a linear part with time delay --; 10.6; MATLAB code for LPRS computing
N2  - "Discontinuous control systems are one of the most important and oldest types of nonlinear systems; however, the available methods of analysis of their input-output properties are based on the approximate describing function method, which narrows the application of existing techniques to systems having good low-pass filtering properties. This book provides new insight on the problem of closed-loop performance and oscillations in discontinuous control systems, covering the class of systems that do not necessarily have low-pass filtering properties. The author provides a practical, yet rigorous and exact approach to analysis and design of discontinuous control systems via application of a novel frequency-domain tool: the locus of a perturbed relay system (LPRS). LPRS theory is presented in detail beginning with basic concepts and progressing to computing formulas, algorithms, and MATLAB® code. As a result of LPRS properties such as exactness, simplicity, and convenience, many problems of analysis and design of discontinuous systems are solved easily by using the theory described. Presented are a number of practical examples applying the theory to analysis and design of discontinuous control systems from various branches of engineering, including electro-mechanical systems, process control, and electronics. A few chapters of the book are devoted to frequency-domain theory of sliding mode control, which is presented as a special type of discontinuous control. LPRS analysis of the effects of chattering and nonideal closed-loop performance in sliding mode systems having parasitic dynamics, as well as the relationship of those effects with the ideal sliding mode, are given. Discontinuous Control Systems is intended for readers who have knowledge of linear control theory and will be of interest to graduate students, researchers, and practicing engineers involved in systems analysis and design."--Publisher's website
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