Nonlinear Stochastic Systems with Network-Induced Phenomena: Recursive Filtering and Sliding-Mode Design

✍ Scribed by Jun Hu, Zidong Wang, Huijun Gao (auth.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 230
• Edition: 1
• Category: Library

✦ Synopsis

This monograph introduces methods for handling filtering and control problems in nonlinear stochastic systems arising from network-induced phenomena consequent on limited communication capacity. Such phenomena include communication delay, packet dropout, signal quantization or saturation, randomly occurring nonlinearities and randomly occurring uncertainties.

The text is self-contained, beginning with an introduction to nonlinear stochastic systems, network-induced phenomena and filtering and control, moving through a collection of the latest research results which focuses on the three aspects of:

· the state-of-the-art of nonlinear filtering and control;

· recent advances in recursive filtering and sliding mode control; and

· their potential for application in networked control systems, and concluding with some ideas for future research work. New concepts such as the randomly occurring uncertainty and the probability-constrained performance index are proposed to make the network models as realistic as possible. The power of combinations of such recent tools as the completing-the-square and sums-of-squares techniques, Hamilton‒Jacobi‒Isaacs matrix inequalities, difference linear matrix inequalities and parameter-dependent matrix inequalities is exploited in treating the mathematical and computational challenges arising from nonlinearity and stochasticity.

Nonlinear Stochastic Systems with Network-Induced Phenomena establishes a unified framework of control and filtering which will be of value to academic researchers in bringing structure to problems associated with an important class of networked system and offering new means of solving them. The significance of the new concepts, models and methods presented for practical control engineering and signal processing will also make it a valuable reference for engineers dealing with nonlinear control and filtering problems.

✦ Table of Contents

Front Matter....Pages i-xv
Introduction....Pages 1-21
Recursive Filtering with Missing Measurements and Quantized Effects....Pages 23-61
Recursive Filtering with Fading Measurements, Sensor Delays, and Correlated Noises....Pages 63-99
Probability-Guaranteed $$H_\infty $$ H ∞ Finite-Horizon Filtering with Sensor Saturations....Pages 101-118
$$H_\infty $$ H ∞ Sliding Mode Observer Design for Nonlinear Time Delay Systems....Pages 119-142
Sliding Mode Control with Time-Varying Delays and Randomly Occurring Nonlinearities....Pages 143-177
Sliding Mode Control with Randomly Occurring Uncertainties and Mixed Time Delays....Pages 179-216
Conclusions and Future Work....Pages 217-219
Back Matter....Pages 221-223

✦ Subjects

Control; Probability Theory and Stochastic Processes; Communications Engineering, Networks; Systems Theory, Control