Optimal nonlinear–nonquadratic feedback control for systems with L2 and L∞ disturbances
DOI10.1016/S0362-546X(97)00582-8zbMath0930.93062OpenAlexW2311780836MaRDI QIDQ4259687
Vijaya-Sekhar Chellaboina, Wassim M. Haddad
Publication date: 31 January 2000
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00582-8
Hamilton-Jacobi-Bellman equationdisturbance rejectionnonlinear systemsrobust stabilitydissipationLyapunov functionsnonlinear-nonquadratic optimal control
Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21) Robust stability (93D09) Hamilton-Jacobi theories (49L99)
Related Items (2)
Cites Work
- Unnamed Item
- Extension of linear-quadratic control, optimization and matrix theory
- Dissipative dynamical systems: basic input-output and state properties
- Dynamic noncooperative game theory
- On a state space approach to nonlinear \(H_ \infty\) control
- Robust stabilization with positive real uncertainty: Beyond the small gain theorem
- Stability results for nonlinear feedback systems
- Decentralized stabilization via game theoretic methods
- Dissipative dynamical systems. I: General theory
- Dissipative dynamical systems. II: Linear systems with quadratic supply rates
- Disturbance attenuation and<tex>H^{∞}</tex>optimization: A design method based on the algebraic Riccati equation
- Complete results for a class of state feedback disturbance attenuation problems
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
- Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
- Linear Control Theory with an ${\bf H}_\infty $ Optimality Criterion
- LQG control with an H/sup infinity / performance bound: a Riccati equation approach
- Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
- Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
- Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
- L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
- Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems
- A nonlinear control law for a stochastic infinite time problem
- The stability of nonlinear dissipative systems
- Nonquadratic cost and nonlinear feedback control
- A Nash game approach to mixed H/sub 2//H/sub ∞/ control
- H∞ control via measurement feedback for affine nonlinear systems
- Mixed ℋ/sub 2/ and ℋ/sub ∞/ performance objectives. II. Optimal control
- Solution to the positive real control problem for linear time-invariant systems
- Implications of passivity in a class of nonlinear systems
- Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis
- Mixed-norm H2/L1 controller synthesis via fixed-order dynamic compensation: A Riccati equation approach
This page was built for publication: Optimal nonlinear–nonquadratic feedback control for systems with L2 and L∞ disturbances