Stabilization of uncertain systems via linear control
From MaRDI portal
Publication:3218024
DOI10.1109/TAC.1983.1103324zbMath0554.93054MaRDI QIDQ3218024
Publication date: 1983
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Model systems in control theory (93C99)
Related Items
Parametric quadratic stabilizability of uncertain nonlinear systems ⋮ Robustness of Luenberger observers: Linear systems stabilized via non- linear control ⋮ A Riccati equation approach to the stabilization of uncertain linear systems ⋮ Decentralized control for interconnected uncertain systems: extensions to higher-order uncertainties ⋮ Decentralized control through parameter space optimization ⋮ Observer-based robust control giving consideration to transient behaviour for linear systems with ⋮ On optimality of decentralized control for a class of nonlinear interconnected systems ⋮ Delay-independent stabilization of uncertain linear systems of neutral type ⋮ Robust stabilization of linear systems with norm-bounded time-varying uncertainty ⋮ Parametrization of all stabilizing controllers via quadratic Lyapunov functions ⋮ Self-scheduled \({\mathcal H}_ \infty\) control of linear parameter-varying systems: A design example ⋮ Piecewise quadratic Lyapunov functions over conical partitions for robust stability analysis ⋮ Uncertainty structures in adaptive and robust stabilization ⋮ Control effort considerations in the stabilization of uncertain dynamical systems ⋮ Reducing the computation required to solve a standard minimax problem ⋮ An algorithm for the quadratic stabilization of uncertain systems with structured uncertainty of the one-block type ⋮ Comparisons among robust stability criteria for linear systems with affine parameter uncertainties ⋮ On the delay independent stabilization of linear neutral systems with limited measurable state variables ⋮ Robust nonlinear feedback control for uncertain linear systems with nonquadratic performance criteria ⋮ Discrete-time ℋ2 and ℋ∞ poly-quadratic filter designs for polytopic LPV systems ⋮ Nonlinear \(H_\infty\) feedback control with integrator for polynomial discrete-time systems ⋮ Robust tilt‐integral‐derivative controller synthesis for first‐order plus time delay and higher‐order systems ⋮ Synthesis of adaptive gain robust output feedback controllers for a class of Lipschitz nonlinear systems with unknown upper bound of uncertainty ⋮ Stability radius optimization: A geometric approach ⋮ Design of robust linear state feedback laws: Ellipsoidal set-theoretic approach ⋮ Variable structure control with sliding sector ⋮ Robust switched control design for nonlinear systems using fuzzy models ⋮ On switched control design of linear time-invariant systems with polytopic uncertainties ⋮ Stabilization of an uncertain linear dynamic system by state and output feedback: a quadratic stabilizability approach ⋮ Stability results for linear parameter varying and switching systems ⋮ Optimality conditions for linear robust controllers ⋮ Global stabilization with almost disturbance decoupling of a class of uncertain non-linear systems ⋮ Stability analysis with quadratic Lyapunov functions: some necessary and sufficient multiplier conditions ⋮ Robust nonlinear-nonquadratic feedback control via parameter-dependent lyapunov functions ⋮ Adaptive control design for uncertain switched nonstrict-feedback nonlinear systems to achieve asymptotic tracking performance ⋮ Simultaneous parametric uncertainty modeling and robust control synthesis by LFT scaling ⋮ Comparison between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems ⋮ An LMI approach to the design of a robust observer with application to a temperature control problem for space vehicle testing ⋮ Robust multivariable PID control for linear parameter varying systems ⋮ Simultaneous stabilization with almost disturbance decoupling-uniform rank system ⋮ Parameter space optimization towards integrated mechatronic design for uncertain systems with generalized feedback constraints ⋮ Decentralized robust control for interconnected systems with time-varying uncertainties ⋮ Robust linear quadratic optimal control for systems with linear uncertainties ⋮ Robust control of a plasma wind tunnel: an LPV discrete-time system depending on fast/slowly-varying parameters ⋮ Quadratic stabilizability of linear uncertain systems in convex-bounded domains ⋮ Sliding sector control using new equivalent sector control ⋮ Robust switched control based on strictly positive real systems and variable structure control techniques ⋮ Smoothing switched control laws for uncertain nonlinear systems subject to actuator saturation ⋮ Unnamed Item ⋮ Robust stabilization of uncertain systems by periodic feedback ⋮ Mixed-sensitivity \(\mathcal{L}_2\) controller synthesis for discrete-time LPV/LFR systems ⋮ Switching control design for LTI system with uncertain equilibrium: application to parallel interconnection of DC/DC converters ⋮ Discrete-time nonlinear analysis and feedback control with nonquadratic performance criteria ⋮ A conjecture concerning certain notions of controllability for a class of uncertain systems ⋮ Quadratic stabilizability of a new class of linear systems with structural independent time-varying uncertainty ⋮ Necessary and sufficient conditions for quadratic stabilizability of an uncertain system ⋮ Structured controller synthesis through block-diagonal factorization and parameter space optimization ⋮ Quadratic stabilizability of uncertain systems: A two level optimization setup ⋮ Constrained control for uncertain linear systems ⋮ Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty ⋮ Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems