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E-raamat: Control and Filtering for Semi-Markovian Jump Systems

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Control and Filtering for Semi-Markovian Jump SystemsSuurem pilt
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This book presents up-to-date research developments and novel methodologies on semi-Markovian jump systems (S-MJS). It presents solutions to a series of problems with new approaches for the control and filtering of S-MJS, including stability analysis, sliding mode control, dynamic output feedback control, robust filter design, and fault detection. A set of newly developed techniques such as piecewise analysis method, positively invariant set approach, event-triggered method, and cone complementary linearization approaches are presented. Control and Filtering for Semi-Markovian Jump Systems is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Arvustused

The book focuses on stability, control, filtering, and fault detection problems for some classes of S-MJS ... . The book is a good research monograph whose intended audience is graduate and postgraduate students as well as who are interested in both theoretical and practical aspects of S-MJS. (Rosario Romera, Mathematical Reviews, June, 2017)

This research monograph presents up-to-date research developments in the field of semi-Markov jump systems which, compared with the classical Markov-jump systems are characterized by a fixed matrix of transition probabilities and a matrix of sojourn time probability density functions. The book is addressed to graduate and postgraduate students as well as researchers in the field of semi-Markovian jump systems. (Doina Carp, zbMATH 1358.93002, 2017)

1 Introduction
1(30)
1.1 Analysis and Control of MJS
1(13)
1.1.1 Stability Analysis of MJS
2(4)
1.1.1 Control and Filtering of MJS
6(8)
1.2 Analysis and Control of S-MJS
14(5)
1.2.2 Literature Review of S-MJS
14(1)
1.2.2 Mathematical Descriptions and Basic Concepts
15(4)
1.3 Outline of the Book
19(12)
References
22(9)
Part I Stability and Control
2 Stochastic Stability of Semi-Markovian Jump Systems
31(16)
2.1 Introduction
31(1)
2.2 System Description and Preliminaries
31(1)
2.3 Main Results
32(10)
2.4 Illustrative Example
42(3)
2.5 Conclusion
45(2)
References
45(2)
3 Constrained Regulation of Singular Semi-Markovian Jump Systems
47(18)
3.1 Introduction
47(1)
3.2 System Description and Preliminaries
48(5)
3.3 Main Results
53(8)
3.3.3 Full-Column Rank Solutions
53(4)
3.3.3 Full-Row Rank Solutions
57(3)
3.3.3 A Heuristic Algorithm for Constrained Regulation Problem
60(1)
3.4 Simulation Results
61(2)
3.5 Conclusion
63(2)
References
64(1)
4 State Estimation and Sliding Mode Control for Semi-Markovian Jump Systems
65(18)
4.1 Introduction
65(1)
4.2 System Description and Preliminaries
66(1)
4.3 Main Results
66(9)
4.3.3 Sliding Mode Control
66(4)
4.3.3 Observer-Based Sliding Mode Control
70(5)
4.4 Illustrative Example
75(6)
4.5 Conclusion
81(2)
References
82(1)
5 Quantized Output Feedback Control of Nonlinear Semi-Markovian Jump Systems
83(20)
5.1 Introduction
83(1)
5.2 Problem Formulation and Preliminaries
84(4)
5.3 Main Results
88(6)
5.4 Illustrative Example
94(5)
5.5 Conclusion
99(4)
References
99(4)
Part II Filtering and Fault Detection
6 Passive Filtering for Delayed Neutral-Type Semi-Markovian Jump Systems
103(30)
6.1 Introduction
103(1)
6.2 Problem Formulation and Preliminaries
104(3)
6.3 Main Results
107(16)
6.3.3 Passive Filtering Analysis
107(10)
6.3.3 Passive Filter Design
117(2)
6.3.3 Further Extensions
119(2)
6.3.3 Convex Optimization Algorithm for Filter Design
121(2)
6.4 Illustrative Example
123(7)
6.5 Conclusion
130(3)
References
130(3)
7 Event-Triggered Fault Detection for Semi-Markovian Jump Systems
133(16)
7.1 Introduction
133(1)
7.2 Problem Formulation
134(3)
7.3 Main Results
137(9)
7.3.3 Fault Detection Filtering Analysis
137(5)
7.3.3 Fault Detection Filter Design
142(4)
7.4 Illustrative Example
146(2)
7.5 Conclusion
148(1)
References
148(1)
8 Fuzzy Fault Detection Filtering for Semi-Markovian Jump Systems
149(22)
8.1 Introduction
149(1)
8.2 Problem Formulation and Preliminaries
150(4)
8.3 Main Results
154(9)
8.3.3 Fault Detection Filtering Analysis
154(5)
8.3.3 Fault Detection Filter Design
159(4)
8.4 Simulation
163(6)
8.5 Conclusion
169(2)
References
169(2)
9 Fault Detection for Underactuated Manipulators Modeled by MJS
171(26)
9.1 Introduction
171(1)
9.2 Problem Formulation and Preliminaries
172(6)
9.3 Main Results
178(10)
9.4 Illustrative Example
188(5)
9.5 Conclusion
193(4)
References
193(4)
Part III Summary
10 Conclusion and Further Work
197
10.1 Conclusion
197(1)
10.2 Further Work
198
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