Linear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices.A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear SystemsThe text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods.More Effective Design Methods for Non-Fragile Controllers and FiltersThe design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.

IntroductionPreliminariesDelta Operator DefinitionH8 Performance IndexOperations on SystemsSome Other Definitions and LemmasNon-Fragile State Feedback Control with Norm-Bounded Gain UncertaintyIntroductionProblem StatementNon-Fragile Guaranteed Cost Controller DesignExampleConclusionNon-Fragile Dynamic Output Feedback Control with Norm-Bounded Gain UncertaintyIntroductionProblem StatementNon-Fragile H8 Dynamic Output Feedback Controller DesignExampleConclusionRobust Non-Fragile Kalman Filtering with Norm-Bounded Gain UncertaintyIntroductionProblem StatementRobust Non-Fragile Filter DesignExampleConclusionNon-Fragile Output Feedback Control with Interval-Bounded Coefficient VariationsIntroductionNon-Fragile H8 Controller Design for Discrete-Time SystemsNon-Fragile H8 Controller Design for Continuous-Time SystemsNon-Fragile H8 Controllers Design with Sparse StructuresConclusionNon-Fragile H8 Filtering with Interval-Bounded Coefficient VariationsIntroductionNon-Fragile H8 Filtering for Discrete-Time SystemsNon-Fragile H8 Filter Design for Linear Continuous-Time SystemsSparse Structured H8 Filter DesignConclusionInsensitive H8 Filtering of Continuous-Time SystemsIntroductionProblem StatementInsensitive H8 Filter DesignComputation of Robust H8 Performance IndexComparison with the Existing Design MethodExampleConclusionInsensitive H8 Filtering of Delta Operator SystemsIntroductionProblem StatementInsensitive H8 Filter DesignExampleConclusionInsensitive H8 Output Tracking ControlIntroductionProblem StatementInsensitive H8 Tracking Control DesignExampleConclusionInsensitive H8 Dynamic Output Feedback ControlIntroductionProblem StatementInsensitive H8 Controller DesignExampleConclusionBibliographyIndex