**Author details**

Jenq-Lang Wu1\*, Chee-Fai Yung1 and Tsu-Tian Lee2

\*Address all correspondence to: wujl@mail.ntou.edu.tw

1 Department of Electrical Engineering, National Taiwan Ocean University, Keelung, Taiwan, Republic of China

2 Department of Electrical Engineering, Tamkang University, New Taipei City, Taiwan, Republic of China

## **References**


[7] Wu, J. L. (2009). Simultaneous H∞ control for nonlinear systems. IEEE Transactions on Automatic Control. 54(3):606-610.

**5. Conclusions**

240 Nonlinear Systems - Design, Analysis, Estimation and Control

**Author details**

Republic of China

public of China

**References**

Jenq-Lang Wu1\*, Chee-Fai Yung1

Letters. 12(1):53-56.

Automatica. 36:859-865.

Control. 77:111-117.

In this chapter, a systematic way for constructing simultaneous *H*∞ state feedback controllers of nonlinear control systems in strict-feedback form is proposed. It is shown that the existence of common CSFs guarantees the existence of simultaneous *H*∞ controllers. An explicit formula for constructing simultaneous *H*∞ controllers is derived. The simulation example is given for verifying the theoretical results. The simulation results show, as expected, that the designed controller can simultaneously stabilize the considered systems and such that all closed-loop systems satisfy the specified disturbance attenuation requirement. Possible further works include considering nonlinear control systems in more general forms, applying the approach

and Tsu-Tian Lee2

1 Department of Electrical Engineering, National Taiwan Ocean University, Keelung, Taiwan,

2 Department of Electrical Engineering, Tamkang University, New Taipei City, Taiwan, Re-

[1] Savkin, A. V. (1998). Simultaneous H∞ control of a finite collection of linear plants with a single nonlinear digital controller. Systems & Control Letters. 33:281-289.

[2] Savkin, A. V. (1999). The problem of simultaneous H∞ control. Applied Mathematics

[3] Sebe, N. (1999). A design of controllers for simultaneous H∞ control problem. Interna-

[4] Cao, Y. Y. and Lam, J. (2000). On simultaneous H∞ control and strong H∞ stabilization.

[5] Miller, D. E. and Chen, T. (2002). Simultaneous stabilization with near-optimal H∞

[6] Lee, P. H. and Soh, Y. C. (2004). Simultaneous H∞ stabilization. International Journal of

performance. IEEE Transactions on Automatic Control. 47:1986-1998.

to time-varying case, and considering the output feedback case.

\*Address all correspondence to: wujl@mail.ntou.edu.tw

tional Journal of Systems Science. 30:25-31.

