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.

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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

In this paper, a simple control approach is proposed for the multi-chain systems. This method is based on a switching algorithm of two sets of smooth steering laws. Global exponential convergence of all states is guaranteed. More importantly, the convergence rate is given explicitly. Two concrete methods are proposed for the design of steering laws. One is based on the backstepping design, another is based on the use of Riccati equation. Extension of this approach to some driftless systems is also discussed. This approach is very flexible in the sense that the requirement on the generator is very weak. Therefore, there is a great freedom in the determination of the generator which may be used to satisfy other control specifications.

http://www.nt.ntnu.no/users/skoge/prost/proceedings/ecc03/pdfs/509.pdf

A piecewise smooth switching control algorithm for chained systems

The robust performance design of parametric systems is a long-standing unsolved problem, even though its analysis has seen significant success. Most existing design methods usually treat the parameter uncertainty as other types, such as norm-bounded uncertainty, and apply the corresponding approach. However, such treatment inevitably broadens the range of uncertainty and brings about design conservatism consequentially. To overcome such difficulty and establish a less conservative performance design method for parametric systems, this article looks back at the passivity theory and put forward a phase-shaping approach. This approach is composed of a generalized Popov transformation and a phase-shaping method for the nominal system. The key idea is to transform an uncertain but positive parameter into a positive real function while shaping the phase of the nominal system via a meta-heuristic method. This design freedom of phase shaping makes it possible to achieve a higher performance. Furthermore, this method is applied to the control design of drivetrain system: a test bed for automobile drivetrains. Its superiority is validated experimentally on an industrial setup.

A Phase-Shaping Approach to the Control of Parametric Systems and Its Application

A study on the design of battery capacity and control system based on the frequency characteristics of power system

https://www.jstage.jst.go.jp/article/sicetr1965/42/7/42_7_765/_pdf

Toward The Realization of Fully Automatic Parking Technology for Automobiles

In this paper, we consider an H/sub /spl infin// problem using unstable weighting functions. Such weights are used to achieve asymptotic disturbance attenuation and/or asymptotic reference tracking, and they cannot be handled by the standard H/sub /spl infin// control theory. For this problem, we present necessary and sufficient conditions to exist a solution using Riccati inequalities. This conditions need no assumptions on the j/spl omega/ invariant zeros of G/sub 12/ and G/sub 21/.

http://ieeexplore.ieee.org/iel3/4303/12517/00577577.pdf

Kang-Zhi Liu

Papers

A piecewise smooth switching control algorithm for chained systems

A Phase-Shaping Approach to the Control of Parametric Systems and Its Application

A study on the design of battery capacity and control system based on the frequency characteristics of power system

Toward The Realization of Fully Automatic Parking Technology for Automobiles

A solvability condition of an extended H/sub /spl infin// control problem using Riccati inequalities