SIAM Journal on Control and Optimization
On a state space approach to nonlinear H∞ control
Systems & Control Letters
H∞ -control by state-feedback for plants with zeros on the imaginary axis
SIAM Journal on Control and Optimization
Dynamic output feedback linearization and global stabilization
Systems & Control Letters
A theorem on global stabilization of nonlinear systems by linear feedback
Systems & Control Letters
Nonlinear H∞ almost disturbance decoupling
Systems & Control Letters
Nonlinear H∞ -control and estimation of optimal H∞ -gain
Systems & Control Letters
Nonlinear control design: geometric, adaptive and robust
Nonlinear control design: geometric, adaptive and robust
Nonlinear Control Systems II
Nonlinear and Adaptive Control Design
Nonlinear and Adaptive Control Design
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Automatica (Journal of IFAC)
Disturbance attenuating output-feedback control of nonlinear systems with local optimality
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.14 |
This paper addresses a nonlinear H"~ control problem for a class of nonminimum phase nonlinear systems. The given system is first transformed into a special coordinate basis, in which the system zero dynamics is divided into a stable part and an unstable part. A sufficient solvability condition is then established for solving the nonlinear H"~ control problem. Moreover, based on the sufficient solvability condition, an upper bound of the best achievable L"2 gain from the system disturbance to the system controlled output is estimated for the nonlinear H"~ control problem. The proofs of our results yield explicit algorithms for constructing required control laws for solving the nonlinear H"~ control problem. In particular, the solution to the nonlinear H"~ control problem does not require solving any Hamilton-Jacobi equations. Finally, the obtained results are utilized to solve a benchmark problem on a rotational/translational actuator (RTAC) system.