1. Introduction. 2. Linear Algebra. 3. Linear Systems. 4. H2 and Ha Spaces. 5. Internal Stability. 6. Performance Specifications and Limitations. 7. Balanced Model Reduction. 8. Uncertainty and Robustness. 9. Linear Fractional Transformation. 10. m and m- Synthesis. 11. Controller Parameterization. 12. Algebraic Riccati Equations. 13. H2 Optimal Control. 14. Ha Control. 15. Controller Reduction. 16. Ha Loop Shaping. 17. Gap Metric and ...u- Gap Metric. 18. Miscellaneous Topics. Bibliography. Index.

/pdf/essentials-of-robust-control-3kaks6yk3h.pdf

Essentials of Robust Control

This book, written by two major figures in adaptive control, provides a wealth of material for researchers, practitioners, and students. While some researchers in adaptive control may note the absence of a particular topic, the book‘s scope represents a high-gain instrument. It can be used by designers of control systems to enhance their work through the information on many new theoretical developments, and can be used by mathematical control theory specialists to adapt their research to practical needs. The book is strongly recommended to anyone interested in adaptive control.

Adaptive Control

Linear Robust Control

This paper studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless). The common aim of these design problems is to stabilize the given system or to achieve certain performance with the coarsest quantization density. Our main discovery is that the classical sector bound approach is nonconservative for studying these design problems. Consequently, we are able to convert many quantized feedback design problems to well-known robust control problems with sector bound uncertainties. In particular, we derive the coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases; and we also derive conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances.

The sector bound approach to quantized feedback control | NOVA. The University of Newcastle's Digital Repository

A lifting technique for linear periodic systems with applications to sampled-data control

The celebrated small-gain approach to robust control only makes use of the gain information of uncertainty. This results in a limitation on the achievable control bandwidth in system design. On the other hand, the alternative passivity approach has only limited applications. To relax the limitations associated with small-gain and passivity approaches, we explore the possibility of utilizing both the gain and the phase information of uncertainty in robust control design. The modelling of uncertainty accounting for both gain and phase is discussed first. Then conditions for the robust stability are derived. These conditions are described as either phase or gain constraints on the nominal system in finite frequency bands. Finally, it is revealed, both theoretically and via a HDD benchmark, that by using the phase information of uncertainty, much higher robust performance can be achieved than the existing small-gain and passivity approaches.

Neo-robust control theory (part II)

In this note, we establish an equivalence between a general spectral factorization and a differential game type Riccati equation based on the theory of Molinari.

https://ieeexplore.ieee.org/iel5/4791998/4791999/04792271.pdf

On Spectral Factorization and Riccati Equation

This paper deals with the parameter adaptation problem of induction motors. It is well understood that the resistances of the stator and the rotor vary significantly in continuous operation. So, to prevent control performance degradation due to parameter error of the induction motor, online parameter adaptation is required. This paper proposes a new method, which is composed of two parts: a stator current observer and a parameter updating law. An outstanding feature of this method is that the rotor flux observer is not used. Instead, the flux reference value is used in the stator current observer which greatly simplifies the implementation. Simulations show that this method works satisfactorily.

Adaptation of stator and rotor resistances for the vector control of induction motors: A method based on reduced order current observer

The introduction of negative thermal expansion (NTE) materials into cathodes with large thermal expansion coefficient (TEC) can not only reduce the mismatch of thermal expansion behavior between solid oxide fuel...

A High Performance Thermal Expansion Offset Composite Cathode for it - Sofcs

The celebrated small-gain approach to robust con­ trol only makes use of the gain information of uncertainty. This results in a limitation on the achievable control bandwidth in system design. On the other hand, the alternative passivity approach has only limited applications. To relax the limitations associated with small-gain and pas­ sivity approaches, we explore the possibility of utilizing both the gain and the phase information of uncertainty in robust control design. The modelling of uncertainty accounting for both gain and phase is discussed first. Then conditions for the robust stability are derived. These conditions are described as either phase or gain constraints on the nominal system in finite frequency bands. Finally, it is revealed, both theoretically and via a HDD benchmark, that by using the phase information of uncertainty, much higher robust performance can be achieved than the existing small-gain and passivity approaches.

http://ieeexplore.ieee.org/iel5/5256114/5276086/05276365.pdf

Kang-Zhi Liu

Papers

Neo-robust control theory (part II)

On Spectral Factorization and Riccati Equation

Adaptation of stator and rotor resistances for the vector control of induction motors: A method based on reduced order current observer

A High Performance Thermal Expansion Offset Composite Cathode for it - Sofcs

Neo-Robust Control Theory (Part I) Uncertainty Model and Robust Stability Analysis